text:
using Rubin
using Tests
using Elliptic
using HypergeometricFunctions
using Polylogarithms
using SpecialFunctions

@test integrate(x^4*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(1//5*d*x^5*(a+b*arccosh(c*x))+-1//7*d*c^2*x^7*(a+b*arccosh(c*x))+-152//3675*b*d*c^-5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+-76//3675*b*d*c^-3*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+-19//1225*b*d*c^-1*x^4*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+1//49*b*c*d*x^6*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^3*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(1//4*d*x^4*(a+b*arccosh(c*x))+-1//6*d*c^2*x^6*(a+b*arccosh(c*x))+-1//24*b*d*c^-4*arccosh(c*x)+-1//24*b*d*x*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+-1//36*b*d*c^-1*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+1//36*b*c*d*x^5*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^2*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(1//3*d*x^3*(a+b*arccosh(c*x))+-1//5*d*c^2*x^5*(a+b*arccosh(c*x))+-26//225*b*d*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+-13//225*b*d*c^-1*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+1//25*b*c*d*x^4*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(-1//4*d*c^-2*(1+-1*c^2*x^2)^2*(a+b*arccosh(c*x))+3//32*b*d*c^-2*arccosh(c*x)+-3//32*b*d*x*c^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+1//16*b*d*x*c^-1*(1+c*x)^3//2*(-1+c*x)^3//2)
@test integrate((a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(d*x*(a+b*arccosh(c*x))+-1//3*d*c^2*x^3*(a+b*arccosh(c*x))+-7//9*b*d*c^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+1//9*b*c*d*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^-1*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(d*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+(1/2)*b*d*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+(1/2)*d*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+-1//2*d*b^-1*(a+b*arccosh(c*x))^2+-1//4*b*d*arccosh(c*x)+1//4*b*c*d*x*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^-2*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(-1*d*x^-1*(a+b*arccosh(c*x))+b*c*d*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+-1*d*x*c^2*(a+b*arccosh(c*x))+b*c*d*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^-3*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :((1/2)*d*b^-1*c^2*(a+b*arccosh(c*x))^2+-1*d*c^2*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+-1//2*b*d*c^2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-1//2*b*d*c^2*arccosh(c*x)+-1//2*d*x^-2*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+(1/2)*b*c*d*x^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^-4*(a+b*arccosh(c*x))*(d+-1*d*c^2*x^2), x) == :(-1//3*d*x^-3*(a+b*arccosh(c*x))+d*c^2*x^-1*(a+b*arccosh(c*x))+-5//6*b*d*c^3*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+1//6*b*c*d*x^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x*(d+-1*d*c^2*x^2)^2*(a+b*arccosh(c*x)), x) == :(-1//6*c^-2*d^2*(1+-1*c^2*x^2)^3*(a+b*arccosh(c*x))+5//96*b*c^-2*d^2*arccosh(c*x)+-5//96*b*x*c^-1*d^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+-1//36*b*x*c^-1*d^2*(1+c*x)^5//2*(-1+c*x)^5//2+5//144*b*x*c^-1*d^2*(1+c*x)^3//2*(-1+c*x)^3//2)
@test integrate(x^-1*(d+-1*d*c^2*x^2)^2*(a+b*arccosh(c*x)), x) == :(d^2*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+(1/2)*b*d^2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+(1/2)*d^2*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+-11//32*b*d^2*arccosh(c*x)+-1//2*b^-1*d^2*(a+b*arccosh(c*x))^2+1//4*d^2*(1+-1*c^2*x^2)^2*(a+b*arccosh(c*x))+-1//16*b*c*x*d^2*(1+c*x)^3//2*(-1+c*x)^3//2+11//32*b*c*x*d^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^2*(a+b*arccosh(c*x)), x) == :(b^-1*c^2*d^2*(a+b*arccosh(c*x))^2+-1*b*c^2*d^2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-1*c^2*d^2*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+-2*c^2*d^2*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+-1//2*d^2*x^-2*(1+-1*c^2*x^2)^2*(a+b*arccosh(c*x))+-1//4*b*c^2*d^2*arccosh(c*x)+-1//2*b*c*d^2*x^-1*(1+c*x)^3//2*(-1+c*x)^3//2+1//4*b*x*c^3*d^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x*(d+-1*d*c^2*x^2)^3*(a+b*arccosh(c*x)), x) == :(-1//8*c^-2*d^3*(1+-1*c^2*x^2)^4*(a+b*arccosh(c*x))+35//1024*b*c^-2*d^3*arccosh(c*x)+-35//1024*b*x*c^-1*d^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+-7//384*b*x*c^-1*d^3*(1+c*x)^5//2*(-1+c*x)^5//2+1//64*b*x*c^-1*d^3*(1+c*x)^7//2*(-1+c*x)^7//2+35//1536*b*x*c^-1*d^3*(1+c*x)^3//2*(-1+c*x)^3//2)
@test integrate(x^-1*(d+-1*d*c^2*x^2)^3*(a+b*arccosh(c*x)), x) == :(d^3*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+(1/2)*b*d^3*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+(1/2)*d^3*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+-19//48*b*d^3*arccosh(c*x)+-1//2*b^-1*d^3*(a+b*arccosh(c*x))^2+1//4*d^3*(1+-1*c^2*x^2)^2*(a+b*arccosh(c*x))+1//6*d^3*(1+-1*c^2*x^2)^3*(a+b*arccosh(c*x))+-7//72*b*c*x*d^3*(1+c*x)^3//2*(-1+c*x)^3//2+1//36*b*c*x*d^3*(1+c*x)^5//2*(-1+c*x)^5//2+19//48*b*c*x*d^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^3*(a+b*arccosh(c*x)), x) == :(-3*c^2*d^3*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+-3//2*b*c^2*d^3*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-3//2*c^2*d^3*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+-3//4*c^2*d^3*(1+-1*c^2*x^2)^2*(a+b*arccosh(c*x))+-1//2*d^3*x^-2*(1+-1*c^2*x^2)^3*(a+b*arccosh(c*x))+3//2*b^-1*c^2*d^3*(a+b*arccosh(c*x))^2+3//32*b*c^2*d^3*arccosh(c*x)+(1/2)*b*c*d^3*x^-1*(1+c*x)^5//2*(-1+c*x)^5//2+-7//16*b*x*c^3*d^3*(1+c*x)^3//2*(-1+c*x)^3//2+-3//32*b*x*c^3*d^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^4*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :(b*c^-5*d^-1*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+c^-5*d^-1*(2a+2*b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-1*b*c^-5*d^-1*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1*x*c^-4*d^-1*(a+b*arccosh(c*x))+-1//3*c^-2*d^-1*x^3*(a+b*arccosh(c*x))+11//9*b*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+1//9*b*c^-3*d^-1*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^3*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :((1/2)*b^-1*c^-4*d^-1*(a+b*arccosh(c*x))^2+-1*c^-4*d^-1*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+-1//2*b*c^-4*d^-1*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-1//2*c^-2*d^-1*x^2*(a+b*arccosh(c*x))+1//4*b*c^-4*d^-1*arccosh(c*x)+1//4*b*x*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^2*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :(b*c^-3*d^-1*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+c^-3*d^-1*(2a+2*b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-1*b*c^-3*d^-1*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1*x*c^-2*d^-1*(a+b*arccosh(c*x))+b*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :((1/2)*b^-1*c^-2*d^-1*(a+b*arccosh(c*x))^2+-1*c^-2*d^-1*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+-1//2*b*c^-2*d^-1*Polylogarithms.polylog(2,exp(2*arccosh(c*x))))
@test integrate((d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :(b*c^-1*d^-1*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+c^-1*d^-1*(2a+2*b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-1*b*c^-1*d^-1*Polylogarithms.polylog(2,exp(arccosh(c*x))))
@test integrate(x^-1*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :(d^-1*(2a+2*b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+(1/2)*b*d^-1*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-1//2*b*d^-1*Polylogarithms.polylog(2,exp(2*arccosh(c*x))))
@test integrate(x^-2*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :(-1*d^-1*x^-1*(a+b*arccosh(c*x))+b*c*d^-1*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+b*c*d^-1*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+-1*b*c*d^-1*Polylogarithms.polylog(2,exp(arccosh(c*x)))+2*c*d^-1*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x))))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :(-1//2*d^-1*x^-2*(a+b*arccosh(c*x))+(1/2)*b*c^2*d^-1*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+2*c^2*d^-1*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+-1//2*b*c^2*d^-1*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+(1/2)*b*c*d^-1*x^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^-4*(d+-1*d*c^2*x^2)^-1*(a+b*arccosh(c*x)), x) == :(-1//3*d^-1*x^-3*(a+b*arccosh(c*x))+b*c^3*d^-1*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-1*b*c^3*d^-1*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1*c^2*d^-1*x^-1*(a+b*arccosh(c*x))+2*c^3*d^-1*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+7//6*b*c^3*d^-1*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+1//6*b*c*d^-1*x^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2))
@test integrate(x^4*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :(-1*c^-5*d^-2*(3a+3*b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-3//2*b*c^-5*d^-2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+3//2*b*c^-5*d^-2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+3//2*x*c^-4*d^-2*(a+b*arccosh(c*x))+(1/2)*c^-2*d^-2*x^3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)+-1//2*b*c^-3*d^-2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x^3*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :(c^-4*d^-2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+(1/2)*b*c^-4*d^-2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+(1/2)*b*c^-4*d^-2*arccosh(c*x)+-1//2*b^-1*c^-4*d^-2*(a+b*arccosh(c*x))^2+(1/2)*c^-2*d^-2*x^2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*c^-4*d^-2*(1+c*x)^-1//2*(-1+c*x)^(1/2)+-1//2*b*c^-4*d^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x^2*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :((1/2)*b*c^-3*d^-2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1*c^-3*d^-2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-1//2*b*c^-3*d^-2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+(1/2)*x*c^-2*d^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*c^-3*d^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :((1/2)*c^-2*d^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*x*c^-1*d^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate((d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :(c^-1*d^-2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+(1/2)*b*c^-1*d^-2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+(1/2)*x*d^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*c^-1*d^-2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1//2*b*c^-1*d^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x^-1*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :(d^-2*(2a+2*b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+(1/2)*b*d^-2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+(1/2)*d^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*d^-2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-1//2*b*c*x*d^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x^-2*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :(b*c*d^-2*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+-1*d^-2*x^-1*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+3*c*d^-2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-3//2*b*c*d^-2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+3//2*b*c*d^-2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-1//2*b*c*d^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2+3//2*x*c^2*d^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x)))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :(b*c^2*d^-2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+c^2*d^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1*b*c^2*d^-2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+4*c^2*d^-2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+-1//2*d^-2*x^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*c*d^-2*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x^-4*(d+-1*d*c^2*x^2)^-2*(a+b*arccosh(c*x)), x) == :(5*c^3*d^-2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-5//2*b*c^3*d^-2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1//3*d^-2*x^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+5//2*b*c^3*d^-2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+13//6*b*c^3*d^-2*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+-5//3*c^2*d^-2*x^-1*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//3*b*c^3*d^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2+5//2*x*c^4*d^-2*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//6*b*c*d^-2*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x^4*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(-3//8*b*c^-5*d^-3*Polylogarithms.polylog(2,exp(arccosh(c*x)))+1//4*c^-5*d^-3*(3a+3*b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+3//8*b*c^-5*d^-3*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-3//8*x*c^-4*d^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//12*b*c^-5*d^-3*(1+c*x)^-3//2*(-1+c*x)^3//2+1//4*b*c^-5*d^-3*(1+c*x)^-3//2*(-1+c*x)^-1//2+1//4*c^-2*d^-3*x^3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+3//8*b*c^-5*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+1//12*b*c^-2*d^-3*x^3*(1+c*x)^-3//2*(-1+c*x)^-3//2)
@test integrate(x^3*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(-1//4*b*c^-4*d^-3*arccosh(c*x)+1//4*d^-3*x^4*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+1//4*b*c^-4*d^-3*(1+c*x)^-1//2*(-1+c*x)^(1/2)+1//4*b*c^-4*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+1//12*b*c^-1*d^-3*x^3*(1+c*x)^-3//2*(-1+c*x)^-3//2)
@test integrate(x^2*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(-1//4*c^-3*d^-3*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-1//8*b*c^-3*d^-3*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+1//8*b*c^-3*d^-3*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1//8*x*c^-2*d^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+1//4*x*c^-2*d^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+1//8*b*c^-3*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+1//12*b*c^-3*d^-3*(1+c*x)^-3//2*(-1+c*x)^-3//2)
@test integrate(x*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(1//4*c^-2*d^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+-1//6*b*x*c^-1*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+1//12*b*x*c^-1*d^-3*(1+c*x)^-3//2*(-1+c*x)^-3//2)
@test integrate((d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(-3//8*b*c^-1*d^-3*Polylogarithms.polylog(2,exp(arccosh(c*x)))+1//4*x*d^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+1//4*c^-1*d^-3*(3a+3*b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+3//8*b*c^-1*d^-3*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+3//8*x*d^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-3//8*b*c^-1*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+1//12*b*c^-1*d^-3*(1+c*x)^-3//2*(-1+c*x)^-3//2)
@test integrate(x^-1*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(d^-3*(2a+2*b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+(1/2)*b*d^-3*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+(1/2)*d^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+-1//2*b*d^-3*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+1//4*d^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+-2//3*b*c*x*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+1//12*b*c*x*d^-3*(1+c*x)^-3//2*(-1+c*x)^-3//2)
@test integrate(x^-2*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(b*c*d^-3*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+-1*d^-3*x^-1*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+-15//8*b*c*d^-3*Polylogarithms.polylog(2,exp(arccosh(c*x)))+15//4*c*d^-3*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+15//8*b*c*d^-3*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-7//8*b*c*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+1//12*b*c*d^-3*(1+c*x)^-3//2*(-1+c*x)^-3//2+5//4*x*c^2*d^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+15//8*x*c^2*d^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x)))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(6*c^2*d^-3*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+-3//2*b*c^2*d^-3*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-1//2*d^-3*x^-2*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+3//2*b*c^2*d^-3*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+3//2*c^2*d^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+3//4*c^2*d^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+(1/2)*b*c*d^-3*x^-1*(1+c*x)^-3//2*(-1+c*x)^-3//2+-5//12*b*x*c^3*d^-3*(1+c*x)^-3//2*(-1+c*x)^-3//2+-2//3*b*x*c^3*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2)
@test integrate(x^-4*(d+-1*d*c^2*x^2)^-3*(a+b*arccosh(c*x)), x) == :(-35//8*b*c^3*d^-3*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-1//3*d^-3*x^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+19//6*b*c^3*d^-3*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+35//4*c^3*d^-3*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+35//8*b*c^3*d^-3*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-29//24*b*c^3*d^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2+-7//3*c^2*d^-3*x^-1*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+-1//12*b*c^3*d^-3*(1+c*x)^-3//2*(-1+c*x)^-3//2+35//8*x*c^4*d^-3*(1+-1*c^2*x^2)^-1*(a+b*arccosh(c*x))+35//12*x*c^4*d^-3*(1+-1*c^2*x^2)^-2*(a+b*arccosh(c*x))+1//6*b*c*d^-3*x^-2*(1+c*x)^-3//2*(-1+c*x)^-3//2)
@test integrate((c+-1*c*a^2*x^2)^-1*arccosh(a*x), x) == :(a^-1*c^-1*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+-1*a^-1*c^-1*Polylogarithms.polylog(2,exp(arccosh(a*x)))+2*a^-1*c^-1*arccosh(a*x)*arctanh(exp(arccosh(a*x))))
@test integrate((c+-1*c*a^2*x^2)^-2*arccosh(a*x), x) == :((1/2)*a^-1*c^-2*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+-1//2*a^-1*c^-2*Polylogarithms.polylog(2,exp(arccosh(a*x)))+a^-1*c^-2*arccosh(a*x)*arctanh(exp(arccosh(a*x)))+(1/2)*x*c^-2*(1+-1*a^2*x^2)^-1*arccosh(a*x)+-1//2*a^-1*c^-2*(1+a*x)^-1//2*(-1+a*x)^-1//2)
@test integrate((c+-1*c*a^2*x^2)^-3*arccosh(a*x), x) == :(-3//8*a^-1*c^-3*Polylogarithms.polylog(2,exp(arccosh(a*x)))+3//8*a^-1*c^-3*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+-3//8*a^-1*c^-3*(1+a*x)^-1//2*(-1+a*x)^-1//2+1//4*x*c^-3*(1+-1*a^2*x^2)^-2*arccosh(a*x)+1//12*a^-1*c^-3*(1+a*x)^-3//2*(-1+a*x)^-3//2+3//4*a^-1*c^-3*arccosh(a*x)*arctanh(exp(arccosh(a*x)))+3//8*x*c^-3*(1+-1*a^2*x^2)^-1*arccosh(a*x))
@test integrate(x^4*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(1//6*x^5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//16*x*c^-4*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//24*c^-2*x^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//32*b^-1*c^-5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//36*b*c*x^6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//32*b*c^-3*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//96*b*c^-1*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(1//4*x^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//8*x*c^-2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//16*b*c*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//16*b^-1*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//16*b*c^-1*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate((d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :((1/2)*x*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//4*b*c*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//4*b^-1*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+b*c*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+(1/2)*c*b^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-4*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//3*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//3*b*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-1//6*b*c*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-6*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//5*x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//15*c^2*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//15*c^4*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2//15*b*c^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-1//20*b*c*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//30*b*c^3*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-8*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//7*x^-7*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//35*c^2*x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+4//105*c^4*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+8//105*c^6*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-8//105*b*c^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-1//42*b*c*x^-6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//140*b*c^3*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//105*b*c^5*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//105*c^-6*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(8+-8*c*x)*(a+b*arccosh(c*x))+-4//35*c^-4*x^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//7*c^-2*x^4*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//49*b*c*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//175*b*c^-1*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+4//315*b*c^-3*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+8//105*b*x*c^-5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//15*c^-4*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(2+-2*c*x)*(a+b*arccosh(c*x))+-1//5*c^-2*x^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//25*b*c*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//45*b*c^-1*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//15*b*x*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//3*c^-2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//9*b*c*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//3*b*x*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :((d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+im*b*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+-1*im*b*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1*b*c*x*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//2*x^-2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+-1//2*b*c*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+(1/2)*im*b*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1//2*im*b*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)), x) == :(-1//4*x^-4*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//8*c^2*x^-2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//12*b*c*x^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//4*c^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+1//8*b*c^3*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//8*im*b*c^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+1//8*im*b*c^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^4*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(1//16*d*x^5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-3//128*d*x*c^-4*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//64*d*c^-2*x^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//8*d*x^5*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-3//256*d*b^-1*c^-5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//32*b*c*d*x^6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//64*b*d*c^3*x^8*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//256*b*d*c^-1*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+3//256*b*d*c^-3*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^2*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(1//8*d*x^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//16*d*x*c^-2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//6*d*x^3*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-7//96*b*c*d*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//32*d*b^-1*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//32*b*d*c^-1*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//36*b*d*c^3*x^6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate((d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(3//8*d*x*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//4*d*x*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-5//16*b*c*d*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-3//16*d*b^-1*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//16*b*d*c^3*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-2*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-3//2*d*x*c^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1*d*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+b*c*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+1//4*b*d*c^3*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+3//4*c*d*b^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-4*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(d*c^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//3*d*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-4//3*b*d*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-1//2*d*b^-1*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//6*b*c*d*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-6*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-1//5*d*x^-5*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//20*b*c*d*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//5*b*d*c^3*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//5*b*d*c^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x))
@test integrate(x^-8*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-2//35*d*c^6*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//35*d*c^4*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+3//35*d*c^2*x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//7*d*x^-7*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//42*b*c*d*x^-6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//70*b*d*c^5*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//35*b*d*c^3*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//35*b*d*c^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x))
@test integrate(x^-10*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-8//315*d*c^8*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-4//315*d*c^6*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//105*d*c^4*x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//21*d*c^2*x^-7*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//9*d*x^-9*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-2//315*b*d*c^7*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//72*b*c*d*x^-8*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//420*b*d*c^5*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//189*b*d*c^3*x^-6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+8//315*b*d*c^9*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x))
@test integrate(x^-12*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-16//1155*d*c^10*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-8//1155*d*c^8*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2//385*d*c^6*x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//231*d*c^4*x^-7*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//33*d*c^2*x^-9*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//11*d*x^-11*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-4//1155*b*d*c^9*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//110*b*c*d*x^-10*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//770*b*d*c^7*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//1386*b*d*c^5*x^-6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//66*b*d*c^3*x^-8*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+16//1155*b*d*c^11*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x))
@test integrate(x^7*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-16//1155*d*c^-8*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-8//231*d*c^-6*x^2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-4//297*b*c*d*x^9*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-2//33*d*c^-4*x^4*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//11*d*c^-2*x^6*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//121*b*d*c^3*x^11*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//1617*b*d*c^-1*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//1925*b*d*c^-3*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+8//3465*b*d*c^-5*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+16//1155*b*d*x*c^-7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^5*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-8//315*d*c^-6*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-10//441*b*c*d*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-4//63*d*c^-4*x^2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//9*d*c^-2*x^4*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//81*b*d*c^3*x^9*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//525*b*d*c^-1*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+4//945*b*d*c^-3*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+8//315*b*d*x*c^-5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^3*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-2//35*d*c^-4*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-8//175*b*c*d*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//7*d*c^-2*x^2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//49*b*d*c^3*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//105*b*d*c^-1*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//35*b*d*x*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-1//5*d*c^-2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2//15*b*c*d*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//5*b*d*x*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//25*b*d*c^3*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-1*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(d*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//3*d*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-2*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+im*b*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+-1*im*b*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-4//3*b*c*d*x*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//9*b*d*c^3*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(-3//2*d*c^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//2*d*x^-2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+b*d*x*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+3*d*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+-1//2*b*c*d*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-3//2*im*b*d*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+3//2*im*b*d*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-5*(d+-1*d*c^2*x^2)^3//2*(a+b*arccosh(c*x)), x) == :(3//8*d*c^2*x^-2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//4*d*x^-4*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-3//4*d*c^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+-1//12*b*c*d*x^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//8*b*d*c^3*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-3//8*im*b*d*c^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+3//8*im*b*d*c^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^4*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(1//32*d^2*x^5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-3//256*x*c^-4*d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//128*c^-2*d^2*x^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//10*d^2*x^5*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//16*d^2*x^5*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-31//960*b*c*d^2*x^6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-3//512*b^-1*c^-5*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//100*b*c^5*d^2*x^10*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//512*b*c^-1*d^2*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+3//512*b*c^-3*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+21//640*b*c^3*d^2*x^8*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^2*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(5//64*d^2*x^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-5//128*x*c^-2*d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//8*d^2*x^3*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+5//48*d^2*x^3*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-59//768*b*c*d^2*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-5//256*b^-1*c^-3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//64*b*c^5*d^2*x^8*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//256*b*c^-1*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+17//288*b*c^3*d^2*x^6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate((d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(5//16*x*d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//6*x*d^2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+5//24*x*d^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-25//96*b*c*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-5//32*b^-1*c^-1*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//36*b*c^-1*d^2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^3*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//96*b*c^3*d^2*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-2*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-15//8*x*c^2*d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1*d^2*x^-1*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+b*c*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-5//4*x*c^2*d^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//16*b*c^5*d^2*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+9//16*b*c^3*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+15//16*c*b^-1*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-4*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(5//2*x*c^4*d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//3*d^2*x^-3*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-7//3*b*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-5//4*b^-1*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//4*b*c^5*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//6*b*c*d^2*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//3*c^2*d^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x)))
@test integrate(x^-6*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-1*c^4*d^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//5*d^2*x^-5*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+(1/2)*b^-1*c^5*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//20*b*c*d^2*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//3*c^2*d^2*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+11//30*b*c^3*d^2*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+23//15*b*c^5*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x))
@test integrate(x^-8*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-1//7*d^2*x^-7*(1+c*x)^3*(1+-1*c*x)^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-3//14*b*c^5*d^2*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//7*b*c^7*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-1//42*b*c*d^2*x^-6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+3//28*b*c^3*d^2*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-10*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-1//21*c^4*d^2*x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//63*c^6*d^2*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//63*c^8*d^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//9*d^2*x^-9*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2//63*b*c^9*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-1//21*b*c^7*d^2*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//189*b*c^3*d^2*x^-6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//42*b*c^5*d^2*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//63*c^2*d^2*x^-7*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//72*b*c*d^2*x^-8*(1+c*x)^-1//2*(1+-1*c^2*x^2)^4*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-12*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-5//231*c^4*d^2*x^-7*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//231*c^6*d^2*x^-5*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+4//693*c^8*d^2*x^-3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+8//693*c^10*d^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//11*d^2*x^-11*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-113//4158*b*c^5*d^2*x^-6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-8//693*b*c^11*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*log(x)+-1//110*b*c*d^2*x^-10*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//924*b*c^7*d^2*x^-4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//693*b*c^9*d^2*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//99*c^2*d^2*x^-9*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+23//792*b*c^3*d^2*x^-8*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^5*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-8//693*c^-6*d^2*(1+c*x)^3*(1+-1*c*x)^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-113//4851*b*c*d^2*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-4//99*c^-4*d^2*x^2*(1+c*x)^3*(1+-1*c*x)^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//11*c^-2*d^2*x^4*(1+c*x)^3*(1+-1*c*x)^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//121*b*c^5*d^2*x^11*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//1155*b*c^-1*d^2*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+4//2079*b*c^-3*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+8//693*b*x*c^-5*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+23//891*b*c^3*d^2*x^9*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^3*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-2//63*c^-4*d^2*(1+c*x)^3*(1+-1*c*x)^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//9*c^-2*d^2*x^2*(1+c*x)^3*(1+-1*c*x)^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//21*b*c*d^2*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//81*b*c^5*d^2*x^9*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//189*b*c^-1*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+2//63*b*x*c^-3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+19//441*b*c^3*d^2*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-1//7*c^-2*d^2*(1+c*x)^3*(1+-1*c*x)^3*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//7*b*c*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//49*b*c^5*d^2*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+1//7*b*x*c^-1*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+3//35*b*c^3*d^2*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-1*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//3*d^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+1//5*d^2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+im*b*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+-1*im*b*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-23//15*b*c*x*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//25*b*c^5*d^2*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+11//45*b*c^3*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(-5//2*c^2*d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-5//6*c^2*d^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//2*d^2*x^-2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+5*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+-1//2*b*c*d^2*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-1//9*b*c^5*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+7//3*b*x*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-5//2*im*b*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+5//2*im*b*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-5*(d+-1*d*c^2*x^2)^5//2*(a+b*arccosh(c*x)), x) == :(15//8*c^4*d^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//4*d^2*x^-4*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1*b*x*c^5*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-15//4*c^4*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+-1//12*b*c*d^2*x^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5//8*c^2*d^2*x^-2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+9//8*b*c^3*d^2*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-15//8*im*b*c^4*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+15//8*im*b*c^4*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate((1+-1*x^2)^(1/2)*arccosh(x), x) == :((1/2)*x*(1+-1*x^2)^(1/2)*arccosh(x)+-1//4*x^2*(1+x)^-1//2*(1+-1*x^2)^(1/2)*(-1+x)^-1//2+-1//4*(1+x)^-1//2*(1+-1*x^2)^(1/2)*(-1+x)^-1//2*arccosh(x)^2)
@test integrate(x^5*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(-1//15*c^-6*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(8+-8*c*x)*(a+b*arccosh(c*x))+-8//15*b*x*c^-5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-4//15*c^-4*x^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-4//45*b*c^-3*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-1//5*c^-2*x^4*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//25*b*c^-1*x^5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^4*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(-3//8*x*c^-4*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-3//16*b*c^-3*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-1//4*c^-2*x^3*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//16*b*c^-1*x^4*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+3//16*b^-1*c^-5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^3*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(-1//3*c^-4*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(2+-2*c*x)*(a+b*arccosh(c*x))+-2//3*b*x*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-1//3*c^-2*x^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//9*b*c^-1*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(-1//2*x*c^-2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//4*b*c^-1*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+1//4*b^-1*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2)
@test integrate((d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :((1/2)*b^-1*c^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+im*b*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1*im*b*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(-1*x^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1*b*c*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(x))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(-1//2*x^-2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+(1/2)*b*c*x^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+(1/2)*im*b*c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1//2*im*b*c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^-4*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)), x) == :(-1//3*x^-3*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-2//3*b*c^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(x)+-2//3*c^2*x^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+1//6*b*c*x^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^5*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(c^-2*d^-1*x^4*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//3*c^-6*d^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(8+-8*c*x)*(a+b*arccosh(c*x))+b*c^-6*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x)+1//9*b*c^-3*d^-1*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+4//3*c^-4*d^-1*x^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+5//3*b*x*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^4*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(c^-2*d^-1*x^3*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-3//4*b^-1*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1//2*b*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2)+1//4*b*c^-3*d^-1*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+3//2*x*c^-4*d^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x)))
@test integrate(x^3*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(c^-2*d^-1*x^2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+c^-4*d^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(2+-2*c*x)*(a+b*arccosh(c*x))+b*x*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+b*c^-4*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x))
@test integrate(x^2*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(x*c^-2*d^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1//2*b*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2)+-1//2*b^-1*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(c^-2*d^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+b*c^-2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x))
@test integrate((d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(x*d^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1//2*b*c^-1*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2))
@test integrate(x^-1*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(d^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+b*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x)+2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+im*b*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1*im*b*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^-2*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(-1*d^-1*x^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+2*x*c^2*d^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1*b*c*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(x)+-1//2*b*c*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(-1//2*d^-1*x^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+3//2*c^2*d^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+b*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x)+(1/2)*b*c*d^-1*x^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+3*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+-3//2*im*b*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+3//2*im*b*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-4*(d+-1*d*c^2*x^2)^-3//2*(a+b*arccosh(c*x)), x) == :(-1//3*d^-1*x^-3*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-4//3*c^2*d^-1*x^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+8//3*x*c^4*d^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-5//3*b*c^3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(x)+-1//2*b*c^3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2)+1//6*b*c*d^-1*x^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^6*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(-5//3*c^-4*d^-2*x^3*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-5//2*x*c^-6*d^-2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)*(a+b*arccosh(c*x))+-1//4*b*c^-5*d^-2*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+1//3*c^-2*d^-2*x^5*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//6*b*c^-7*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+5//4*b^-1*c^-7*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+7//6*b*c^-7*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2))
@test integrate(x^5*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(-4//3*c^-4*d^-2*x^2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1//3*c^-6*d^-2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(8+-8*c*x)*(a+b*arccosh(c*x))+-1*b*x*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-11//6*b*c^-6*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x)+1//3*c^-2*d^-2*x^4*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//6*b*x*c^-5*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^4*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(-1*x*c^-4*d^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+(1/2)*b^-1*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+1//3*c^-2*d^-2*x^3*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//6*b*c^-5*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+2//3*b*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2))
@test integrate(x^3*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(-1*c^-4*d^-2*(1+c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//3*c^-4*d^-2*(1+c*x)^-1*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-5//6*b*c^-4*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x)+1//3*c^-1*d^-2*x^3*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//6*b*x*c^-3*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^2*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(1//3*d^-2*x^3*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//6*b*c^-3*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+1//6*b*c^-3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2))
@test integrate((d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(2//3*x*d^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//3*x*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1//3*b*c^-1*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2)+1//6*b*c^-1*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^-1*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(d^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//3*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+7//6*b*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x)+im*b*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1*im*b*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+1//6*b*c*x*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^-2*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(8//3*x*c^2*d^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1*d^-2*x^-1*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1*b*c*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(x)+-5//6*b*c*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2)+1//6*b*c*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+4//3*x*c^2*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^-3*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(5//2*c^2*d^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1//2*d^-2*x^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+5//6*c^2*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+5*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))+3//4*b*c*d^-2*x^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+13//6*b*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctanh(c*x)+-5//2*im*b*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+-1//4*b*c*d^-2*x^-1*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+5//2*im*b*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+5//12*b*x*c^3*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^-4*(d+-1*d*c^2*x^2)^-5//2*(a+b*arccosh(c*x)), x) == :(16//3*x*c^4*d^-2*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1//3*d^-2*x^-3*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-2*c^2*d^-2*x^-1*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-8//3*b*c^3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(x)+-4//3*b*c^3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*log(1+-1*c^2*x^2)+1//6*b*c*d^-2*x^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+1//6*b*c^3*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+8//3*x*c^4*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate((c+-1*c*a^2*x^2)^-7//2*arccosh(a*x), x) == :(8//15*x*c^-3*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)+-4//15*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*log(1+-1*a^2*x^2)+1//5*x*c^-3*(1+a*x)^-2*(1+-1*a*x)^-2*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)+1//20*a^-1*c^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-2*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2+2//15*a^-1*c^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2+4//15*x*c^-3*(1+a*x)^-1*(1+-1*a*x)^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x))
@test integrate(x^4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x), x) == :(-3//16*a^-3*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-1//16*a^-1*x^4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+3//16*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-3//8*x*a^-4*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+-1//4*a^-2*x^3*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x))
@test integrate(x^3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x), x) == :(-2//3*x*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-1//3*a^-4*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(2+-2*a*x)*arccosh(a*x)+-1//9*a^-1*x^3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-1//3*a^-2*x^2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x))
@test integrate(x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x), x) == :(-1//4*a^-1*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+1//4*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-1//2*x*a^-2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x))
@test integrate((1+-1*a^2*x^2)^-1//2*arccosh(a*x), x) == :((1/2)*a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2)
@test integrate(x^-1*(1+-1*a^2*x^2)^-1//2*arccosh(a*x), x) == :(im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(a*x)))+-1*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(a*x)))+2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)*arctan(exp(arccosh(a*x))))
@test integrate(x^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x), x) == :(-1*a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*log(x)+-1*x^-1*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x))
@test integrate(x^-3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x), x) == :((1/2)*a*x^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-1//2*x^-2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)*arctan(exp(arccosh(a*x)))+(1/2)*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(a*x)))+-1//2*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(a*x))))
@test integrate((c+-1*c*a^2*x^2)^3*arccosh(a*x)^2, x) == :(4322//3675*x*c^3+-1514//11025*a^2*c^3*x^3+-2//343*a^6*c^3*x^7+16//35*x*c^3*arccosh(a*x)^2+234//6125*a^4*c^3*x^5+1//7*x*c^3*(1+-1*a^2*x^2)^3*arccosh(a*x)^2+6//35*x*c^3*(1+-1*a^2*x^2)^2*arccosh(a*x)^2+8//35*x*c^3*arccosh(a*x)^2*(1+-1*a^2*x^2)+-32//35*a^-1*c^3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*arccosh(a*x)+-12//175*a^-1*c^3*(1+a*x)^5//2*(-1+a*x)^5//2*arccosh(a*x)+2//49*a^-1*c^3*(1+a*x)^7//2*(-1+a*x)^7//2*arccosh(a*x)+16//105*a^-1*c^3*(1+a*x)^3//2*(-1+a*x)^3//2*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^2*arccosh(a*x)^2, x) == :(298//225*x*c^2+-76//675*a^2*c^2*x^3+2//125*a^4*c^2*x^5+8//15*x*c^2*arccosh(a*x)^2+1//5*x*c^2*(1+-1*a^2*x^2)^2*arccosh(a*x)^2+4//15*x*c^2*arccosh(a*x)^2*(1+-1*a^2*x^2)+-16//15*a^-1*c^2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*arccosh(a*x)+-2//25*a^-1*c^2*(1+a*x)^5//2*(-1+a*x)^5//2*arccosh(a*x)+8//45*a^-1*c^2*(1+a*x)^3//2*(-1+a*x)^3//2*arccosh(a*x))
@test integrate(arccosh(a*x)^2*(c+-1*c*a^2*x^2), x) == :(14//9*c*x+-2//27*c*a^2*x^3+2//3*c*x*arccosh(a*x)^2+1//3*c*x*arccosh(a*x)^2*(1+-1*a^2*x^2)+-4//3*c*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*arccosh(a*x)+2//9*c*a^-1*(1+a*x)^3//2*(-1+a*x)^3//2*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-1*arccosh(a*x)^2, x) == :(-2*a^-1*c^-1*Polylogarithms.polylog(3,-1*exp(arccosh(a*x)))+2*a^-1*c^-1*Polylogarithms.polylog(3,exp(arccosh(a*x)))+-2*a^-1*c^-1*Polylogarithms.polylog(2,exp(arccosh(a*x)))*arccosh(a*x)+2*a^-1*c^-1*arccosh(a*x)^2*arctanh(exp(arccosh(a*x)))+2*a^-1*c^-1*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-2*arccosh(a*x)^2, x) == :(a^-1*c^-2*Polylogarithms.polylog(3,exp(arccosh(a*x)))+-1*a^-1*c^-2*Polylogarithms.polylog(3,-1*exp(arccosh(a*x)))+-1*a^-1*c^-2*arctanh(a*x)+a^-1*c^-2*arccosh(a*x)^2*arctanh(exp(arccosh(a*x)))+a^-1*c^-2*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))*arccosh(a*x)+(1/2)*x*c^-2*(1+-1*a^2*x^2)^-1*arccosh(a*x)^2+-1*a^-1*c^-2*Polylogarithms.polylog(2,exp(arccosh(a*x)))*arccosh(a*x)+-1*a^-1*c^-2*(1+a*x)^-1//2*(-1+a*x)^-1//2*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-3*arccosh(a*x)^2, x) == :(-5//6*a^-1*c^-3*arctanh(a*x)+-3//4*a^-1*c^-3*Polylogarithms.polylog(3,-1*exp(arccosh(a*x)))+-1//12*x*c^-3*(1+-1*a^2*x^2)^-1+3//4*a^-1*c^-3*Polylogarithms.polylog(3,exp(arccosh(a*x)))+-3//4*a^-1*c^-3*Polylogarithms.polylog(2,exp(arccosh(a*x)))*arccosh(a*x)+1//4*x*c^-3*(1+-1*a^2*x^2)^-2*arccosh(a*x)^2+3//4*a^-1*c^-3*arccosh(a*x)^2*arctanh(exp(arccosh(a*x)))+3//4*a^-1*c^-3*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))*arccosh(a*x)+3//8*x*c^-3*(1+-1*a^2*x^2)^-1*arccosh(a*x)^2+-3//4*a^-1*c^-3*(1+a*x)^-1//2*(-1+a*x)^-1//2*arccosh(a*x)+1//6*a^-1*c^-3*(1+a*x)^-3//2*(-1+a*x)^-3//2*arccosh(a*x))
@test integrate(x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :(-856//3375*b^2*c^-4*(d+-1*d*c^2*x^2)^(1/2)+-2//15*c^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//5*x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+2//125*b^2*x^4*(d+-1*d*c^2*x^2)^(1/2)+-1//15*c^-2*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+22//3375*b^2*c^-2*x^2*(d+-1*d*c^2*x^2)^(1/2)+-2//25*b*c*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//45*b*c^-1*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+4//15*a*b*x*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+4//15*x*b^2*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x))
@test integrate(x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :(1//4*x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//32*b^2*x^3*(d+-1*d*c^2*x^2)^(1/2)+-1//8*x*c^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//64*x*b^2*c^-2*(d+-1*d*c^2*x^2)^(1/2)+-1//24*b^-1*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+-1//64*b^2*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-1//8*b*c*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//8*b*c^-1*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :(-14//27*b^2*c^-2*(d+-1*d*c^2*x^2)^(1/2)+2//27*b^2*x^2*(d+-1*d*c^2*x^2)^(1/2)+-1//3*c^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-2//9*b*c*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//3*b*x*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate((a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :((1/2)*x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//4*x*b^2*(d+-1*d*c^2*x^2)^(1/2)+-1//6*b^-1*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+1//4*b^2*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-1//2*b*c*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :((a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+2*b^2*(d+-1*d*c^2*x^2)^(1/2)+-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*arctan(exp(arccosh(c*x)))+-2*im*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+2*im*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+-2*im*b*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-2*a*b*c*x*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-2*c*x*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+2*im*b*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :(-1*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1*c*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+c*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+1//3*c*b^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+2*b*c*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x))))
@test integrate(x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :(-1//2*x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+b^2*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*arctan(exp(arccosh(c*x)))+im*b^2*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+-1*im*b^2*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+-1*b*c*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+im*b*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1*im*b*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2), x) == :(1//3*b^2*c^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)+-1//3*x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+1//3*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//3*b^2*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-1//3*b^2*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-2//3*b*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+-1//3*b*c*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)*(a+b*arccosh(c*x)))
@test integrate(x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(-37384//385875*d*b^2*c^-4*(d+-1*d*c^2*x^2)^(1/2)+-2//35*d*c^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+3//35*d*x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+484//42875*d*b^2*x^4*(d+-1*d*c^2*x^2)^(1/2)+-2//343*d*b^2*c^2*x^6*(d+-1*d*c^2*x^2)^(1/2)+-1//35*d*c^-2*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+3358//385875*d*b^2*c^-2*x^2*(d+-1*d*c^2*x^2)^(1/2)+1//7*d*x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-16//175*b*c*d*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//49*b*d*c^3*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//105*b*d*c^-1*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+4//35*a*b*d*x*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+4//35*d*x*b^2*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x))
@test integrate(x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(1//8*d*x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+43//1728*d*b^2*x^3*(d+-1*d*c^2*x^2)^(1/2)+-1//16*d*x*c^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//108*d*b^2*c^2*x^5*(d+-1*d*c^2*x^2)^(1/2)+7//1152*d*x*b^2*c^-2*(d+-1*d*c^2*x^2)^(1/2)+1//6*d*x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-1//48*d*b^-1*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+7//1152*d*b^2*c^-3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-7//48*b*c*d*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//16*b*d*c^-1*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//18*b*d*c^3*x^6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(-1//5*d*c^-2*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-16//75*d*b^2*c^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+-8//225*d*b^2*c^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^2*(d+-1*d*c^2*x^2)^(1/2)+-2//125*d*b^2*c^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^3*(d+-1*d*c^2*x^2)^(1/2)+-4//15*b*c*d*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//5*b*d*x*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//25*b*d*c^3*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate((a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(3//8*d*x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+15//64*d*x*b^2*(d+-1*d*c^2*x^2)^(1/2)+1//4*d*x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+1//32*d*x*b^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-1//8*d*b^-1*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+9//64*d*b^2*c^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-3//8*b*c*d*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//8*b*d*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(d*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+68//27*d*b^2*(d+-1*d*c^2*x^2)^(1/2)+-2//27*d*b^2*c^2*x^2*(d+-1*d*c^2*x^2)^(1/2)+1//3*d*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-2*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*arctan(exp(arccosh(c*x)))+-2*im*d*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+2*im*d*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+-2*im*b*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-2*a*b*c*d*x*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-2*c*d*x*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+2*im*b*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+-2//3*b*c*d*x*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//9*b*d*c^3*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(-3//2*d*x*c^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//4*d*x*b^2*c^2*(d+-1*d*c^2*x^2)^(1/2)+-1*c*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1*d*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+c*d*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+(1/2)*c*d*b^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+-5//4*c*d*b^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+b*c*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+2*b*c*d*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+3//2*b*d*c^3*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(-2*d*b^2*c^2*(d+-1*d*c^2*x^2)^(1/2)+-3//2*d*c^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1//2*d*x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+d*b^2*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+3*d*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*arctan(exp(arccosh(c*x)))+-1*b*c*d*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1*b*d*x*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-3*im*d*b^2*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+3*im*d*b^2*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+3*a*b*d*x*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+3*d*x*b^2*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-3*im*b*d*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+3*im*b*d*c^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^3//2, x) == :(d*c^2*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//3*d*b^2*c^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)+-1//3*d*x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+4//3*d*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-4//3*d*b^2*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-1//3*d*b^-1*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+-1//3*d*b^2*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-8//3*b*d*c^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+-1//3*b*c*d*x^-2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)*(a+b*arccosh(c*x)))
@test integrate(x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(-37384//694575*b^2*c^-4*d^2*(d+-1*d*c^2*x^2)^(1/2)+-2//63*c^-4*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//21*d^2*x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+484//77175*b^2*d^2*x^4*(d+-1*d*c^2*x^2)^(1/2)+-10//3087*b^2*c^2*d^2*x^6*(d+-1*d*c^2*x^2)^(1/2)+-1//63*c^-2*d^2*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+3358//694575*b^2*c^-2*d^2*x^2*(d+-1*d*c^2*x^2)^(1/2)+1//9*d^2*x^4*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+5//63*d^2*x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-20//3969*b^2*c^-4*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^4*(d+-1*d*c^2*x^2)^(1/2)+2//729*b^2*c^-4*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^5*(d+-1*d*c^2*x^2)^(1/2)+2//4725*b^2*c^-4*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^3*(d+-1*d*c^2*x^2)^(1/2)+8//8505*b^2*c^-4*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^2*(d+-1*d*c^2*x^2)^(1/2)+16//2835*b^2*c^-4*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+-2//21*b*c*d^2*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2//81*b*c^5*d^2*x^9*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//189*b*c^-1*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+4//63*a*b*x*c^-3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+4//63*x*b^2*c^-3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+38//441*b*c^3*d^2*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(5//64*d^2*x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+215//13824*b^2*d^2*x^3*(d+-1*d*c^2*x^2)^(1/2)+-5//128*x*c^-2*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-5//864*b^2*c^2*d^2*x^5*(d+-1*d*c^2*x^2)^(1/2)+35//9216*x*b^2*c^-2*d^2*(d+-1*d*c^2*x^2)^(1/2)+1//8*d^2*x^3*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+5//48*d^2*x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+73*b^2*d^2*x^3*(1+c*x)^-1*(18432+-18432*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+-5//384*b^-1*c^-3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+35//9216*b^2*c^-3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+b^2*c^4*d^2*x^7*(1+c*x)^-1*(256+-256*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+-43*b^2*c^2*d^2*x^5*(1+c*x)^-1*(4608+-4608*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+-73//12288*b^2*c^-3*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(-1+c^2*x^2)^(1/2)*(d+-1*d*c^2*x^2)^(1/2)*arctanh(c*x*(-1+c^2*x^2)^-1//2)+-59//384*b*c*d^2*x^4*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//32*b*c^5*d^2*x^8*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+5//128*b*c^-1*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+17//144*b*c^3*d^2*x^6*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+73//12288*x*b^2*c^-2*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2))
@test integrate(x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(-1//7*c^-2*d^2*(1+c*x)^3*(1+-1*c*x)^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-32//245*b^2*c^-2*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+-16//735*b^2*c^-2*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^2*(d+-1*d*c^2*x^2)^(1/2)+-12//1225*b^2*c^-2*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^3*(d+-1*d*c^2*x^2)^(1/2)+-2//343*b^2*c^-2*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(1+-1*c^2*x^2)^4*(d+-1*d*c^2*x^2)^(1/2)+-2//7*b*c*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2//49*b*c^5*d^2*x^7*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+2//7*b*x*c^-1*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+6//35*b*c^3*d^2*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate((a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(5//16*x*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+245//1152*x*b^2*d^2*(d+-1*d*c^2*x^2)^(1/2)+1//6*x*d^2*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+1//108*x*b^2*d^2*(1+c*x)^2*(1+-1*c*x)^2*(d+-1*d*c^2*x^2)^(1/2)+5//24*x*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+65//1728*x*b^2*d^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-5//48*b^-1*c^-1*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+115//1152*b^2*c^-1*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-5//16*b*c*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+1//18*b*c^-1*d^2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^3*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+5//48*b*c^-1*d^2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+68//27*b^2*d^2*(d+-1*d*c^2*x^2)^(1/2)+-2//27*b^2*c^2*d^2*x^2*(d+-1*d*c^2*x^2)^(1/2)+1//3*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+1//5*d^2*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*arctan(exp(arccosh(c*x)))+2*b^2*d^2*(1+c*x)^-1*(1+-1*c^2*x^2)^3*(125+-125*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)+8*b^2*d^2*(1+c*x)^-1*(1+-1*c^2*x^2)^2*(225+-225*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)+16*b^2*d^2*(1+c*x)^-1*(75+-75*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+-2*im*b^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+2*im*b^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+-2*im*b*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-2*a*b*c*x*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+-2*c*x*b^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+2*im*b*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+-16//15*b*c*x*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-2//25*b*c^5*d^2*x^5*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+22//45*b*c^3*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(-31//64*x*b^2*c^2*d^2*(d+-1*d*c^2*x^2)^(1/2)+-15//8*x*c^2*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1*c*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-1*d^2*x^-1*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+c*b^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-89//64*c*b^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-5//4*x*c^2*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-1//32*x*b^2*c^2*d^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+5//8*c*b^-1*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+b*c*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+2*b*c*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+-1//8*b*c*d^2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+15//8*b*c^3*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate(x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(-170//27*b^2*c^2*d^2*(d+-1*d*c^2*x^2)^(1/2)+-5//2*c^2*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+5//27*b^2*c^4*d^2*x^2*(d+-1*d*c^2*x^2)^(1/2)+-5//6*c^2*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+-1//2*d^2*x^-2*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+b^2*c^2*d^2*(1+c*x)^-1*(1+-1*c^2*x^2)^2*(9+-9*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)+5*b^2*c^2*d^2*(1+c*x)^-1*(3+-3*c*x)^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)+5*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*arctan(exp(arccosh(c*x)))+-1*b*c*d^2*x^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1*b^2*c^2*d^2*(1+c*x)^-1*(1+-1*c*x)^-1*(-1+c^2*x^2)^(1/2)*(d+-1*d*c^2*x^2)^(1/2)*arctan((-1+c^2*x^2)^(1/2))+-5*im*b^2*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+5*im*b^2*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+5*a*b*x*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)+5*x*b^2*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-2//9*b*c^5*d^2*x^3*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//3*b*x*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-5*im*b*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+5*im*b*c^2*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^5//2, x) == :(5//2*x*c^4*d^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+7//12*x*b^2*c^4*d^2*(d+-1*d*c^2*x^2)^(1/2)+-1//3*d^2*x^-3*(1+c*x)^2*(1+-1*c*x)^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+7//3*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)+-7//3*b^2*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-5//6*b^-1*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^(1/2)+1//3*b^2*c^2*d^2*x^-1*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+5//3*c^2*d^2*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^(1/2)*(1+c*x)*(1+-1*c*x)+23//12*b^2*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*arccosh(c*x)+-14//3*b*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+-7//3*b*c^3*d^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(1+-1*c^2*x^2)*(a+b*arccosh(c*x))+-5//2*b*c^5*d^2*x^2*(1+c*x)^-1//2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))+-1//3*b*c*d^2*x^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^2*(-1+c*x)^-1//2*(d+-1*d*c^2*x^2)^(1/2)*(a+b*arccosh(c*x)))
@test integrate((c+-1*c*a^2*x^2)^5//2*arccosh(a*x)^2, x) == :(245//1152*x*c^2*(c+-1*c*a^2*x^2)^(1/2)+5//16*x*c^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+1//108*x*c^2*(1+a*x)^2*(1+-1*a*x)^2*(c+-1*c*a^2*x^2)^(1/2)+65//1728*x*c^2*(c+-1*c*a^2*x^2)^(1/2)*(1+a*x)*(1+-1*a*x)+-5//48*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3+1//6*x*c^2*(1+a*x)^2*(1+-1*a*x)^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+5//24*x*c^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+115//1152*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+-5//16*a*c^2*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+1//18*a^-1*c^2*(1+a*x)^-1//2*(1+-1*a^2*x^2)^3*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+5//48*a^-1*c^2*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^2, x) == :(15//64*c*x*(c+-1*c*a^2*x^2)^(1/2)+3//8*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+1//32*c*x*(c+-1*c*a^2*x^2)^(1/2)*(1+a*x)*(1+-1*a*x)+-1//8*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3+1//4*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+9//64*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+-3//8*a*c*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+1//8*c*a^-1*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2, x) == :(1//4*x*(c+-1*c*a^2*x^2)^(1/2)+(1/2)*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+-1//6*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3+1//4*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+-1//2*a*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x))
@test integrate(x^5*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(-4144//3375*b^2*c^-6*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//15*c^-6*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(8+-8*c*x)+-272//3375*b^2*c^-4*x^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-4//15*c^-4*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-2//125*b^2*c^-2*x^4*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//5*c^-2*x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-16//15*a*b*x*c^-5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-16//15*x*b^2*c^-5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+-8//45*b*c^-3*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-2//25*b*c^-1*x^5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(-15//64*x*b^2*c^-4*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-3//8*x*c^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//4*c^-2*x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//32*b^2*c^-2*x^3*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+1//8*b^-1*c^-5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^-1//2+15//64*b^2*c^-5*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+-3//8*b*c^-3*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1//8*b*c^-1*x^4*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(-40//27*b^2*c^-4*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//3*c^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(2+-2*c*x)+-2//27*b^2*c^-2*x^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//3*c^-2*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-4//3*a*b*x*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-4//3*x*b^2*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+-2//9*b*c^-1*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(-1//2*x*c^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//4*x*b^2*c^-2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+1//4*b^2*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+1//6*b^-1*c^-3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^-1//2+-1//2*b*c^-1*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(-1*c^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-2*b^2*c^-2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-2*a*b*x*c^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-2*x*b^2*c^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x))
@test integrate((a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(1//3*b^-1*c^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^-1//2)
@test integrate(x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*arctan(exp(arccosh(c*x)))+-2*im*b^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+2*im*b^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+-2*im*b*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+2*im*b*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(c*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1*c*b^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-2*b*c*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x))))
@test integrate(x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(-1//2*x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*arctan(exp(arccosh(c*x)))+-1*b^2*c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+im*b^2*c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+b*c*x^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-1*im*b^2*c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+im*b*c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-1*im*b*c^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x))))
@test integrate(x^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2, x) == :(-1//3*x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+2//3*c^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-2//3*b^2*c^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-2//3*c^2*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+1//3*b^2*c^2*x^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-4//3*b*c^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+exp(2*arccosh(c*x)))+1//3*b*c*x^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^5*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(c^-2*d^-1*x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+1//3*c^-6*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(8+-8*c*x)+94//27*b^2*c^-6*d^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-2*b^2*c^-6*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+2*b^2*c^-6*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+2//27*b^2*c^-4*d^-1*x^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+4//3*c^-4*d^-1*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-2*b*x*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+4*b*c^-6*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+2//9*b*c^-3*d^-1*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+16//3*a*b*x*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+16//3*x*b^2*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x))
@test integrate(x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(c^-2*d^-1*x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*b^2*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-1//2*b^-1*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^-1//2+-1//4*b^2*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+1//4*x*b^2*c^-4*d^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+3//2*x*c^-4*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+(1/2)*b*c^-3*d^-1*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-2*b*c^-5*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x))))
@test integrate(x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(c^-2*d^-1*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+c^-4*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(2+-2*c*x)+2*b^2*c^-4*d^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-2*b^2*c^-4*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+2*b^2*c^-4*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-2*b*x*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+4*a*b*x*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+4*b*c^-4*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+4*x*b^2*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x))
@test integrate(x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(x*c^-2*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*b^2*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-1//3*b^-1*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^-1//2+-2*b*c^-3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x))))
@test integrate(x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(c^-2*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-2*b^2*c^-2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+2*b^2*c^-2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+4*b*c^-2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x))))
@test integrate((a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(x*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+c^-1*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*b^2*c^-1*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-2*b*c^-1*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x))))
@test integrate(x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-2*b^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+2*b^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*arctan(exp(arccosh(c*x)))+-2*im*b^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+2*im*b^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+4*b*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-2*im*b*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+2*im*b*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(-1*d^-1*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+2*x*c^2*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+2*c*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*c*b^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-1*c*b^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-4*b*c*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+-4*b*c*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x))))
@test integrate(x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(-1//2*d^-1*x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+3//2*c^2*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*b^2*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+-2*b^2*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+2*b^2*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+3*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*arctan(exp(arccosh(c*x)))+b*c*d^-1*x^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-3*im*b^2*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+3*im*b^2*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+4*b*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-3*im*b*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+3*im*b*c^2*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x))))
@test integrate(x^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-3//2, x) == :(-1//3*d^-1*x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-4//3*c^2*d^-1*x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+8//3*x*c^4*d^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+8//3*c^3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*b^2*c^3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-5//3*b^2*c^3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+1//3*b^2*c^2*d^-1*x^-1*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-20//3*b*c^3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+-16//3*b*c^3*d^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+1//3*b*c*d^-1*x^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^5*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-4//3*c^-4*d^-2*x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1//3*b^2*c^-4*d^-2*x^2*(d+-1*d*c^2*x^2)^-1//2+-7//3*b^2*c^-6*d^-2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(1+-1*c*x)+-1//3*c^-6*d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*(1+c*x)*(8+-8*c*x)+-11//3*b^2*c^-6*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+1//3*c^-2*d^-2*x^4*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+11//3*b^2*c^-6*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-22//3*b*c^-6*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-16//3*a*b*x*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2+-16//3*x*b^2*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+11//3*b*x*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+1//3*b*c^-3*d^-2*x^3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-1//3*b^2*c^-5*d^-2*(d+-1*d*c^2*x^2)^-1//2+-1*x*c^-4*d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+1//3*b^2*c^-5*d^-2*(d+-1*d*c^2*x^2)^-1//2*(1+-1*c*x)+-4//3*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+1//3*b^-1*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^3*(d+-1*d*c^2*x^2)^-1//2+1//3*b^2*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+1//3*c^-2*d^-2*x^3*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+4//3*b^2*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+8//3*b*c^-5*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+1//3*b*c^-3*d^-2*x^2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-2//3*c^-4*d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1//3*b^2*c^-4*d^-2*(d+-1*d*c^2*x^2)^-1//2+-5//3*b^2*c^-4*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+1//3*c^-2*d^-2*x^2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+5//3*b^2*c^-4*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+-10//3*b*c^-4*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+1//3*b*x*c^-3*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-1//3*b^2*c^-3*d^-2*(d+-1*d*c^2*x^2)^-1//2+1//3*b^2*c^-3*d^-2*(d+-1*d*c^2*x^2)^-1//2*(1+-1*c*x)+-1//3*c^-3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+1//3*d^-2*x^3*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+1//3*b^2*c^-3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+1//3*b^2*c^-3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arccosh(c*x)+2//3*b*c^-3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+1//3*b*c^-1*d^-2*x^2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-1//3*b^2*c^-2*d^-2*(d+-1*d*c^2*x^2)^-1//2+1//3*c^-2*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1//3*b^2*c^-2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+1//3*b^2*c^-2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+2//3*b*c^-2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+1//3*b*x*c^-1*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate((a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-1//3*x*b^2*d^-2*(d+-1*d*c^2*x^2)^-1//2+2//3*x*d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+1//3*x*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+2//3*c^-1*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-2//3*b^2*c^-1*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+-4//3*b*c^-1*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+1//3*b*c^-1*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1//3*b^2*d^-2*(d+-1*d*c^2*x^2)^-1//2+1//3*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*arctan(exp(arccosh(c*x)))+-7//3*b^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+7//3*b^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-2*im*b^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+2*im*b^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+14//3*b*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+-2*im*b*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+2*im*b*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+1//3*b*c*x*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-1//3*x*b^2*c^2*d^-2*(d+-1*d*c^2*x^2)^-1//2+8//3*x*c^2*d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*d^-2*x^-1*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+8//3*c*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*c*b^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-5//3*c*b^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+4//3*x*c^2*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-4*b*c*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+-16//3*b*c*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+1//3*b*c*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^-3*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-1//3*b^2*c^2*d^-2*(d+-1*d*c^2*x^2)^-1//2+5//2*c^2*d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1//2*d^-2*x^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+5//6*c^2*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1*b^2*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*arctan((1+c*x)^(1/2)*(-1+c*x)^(1/2))+5*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2*arctan(exp(arccosh(c*x)))+-13//3*b^2*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(arccosh(c*x)))+13//3*b^2*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(arccosh(c*x)))+-5*im*b^2*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,im*exp(arccosh(c*x)))+5*im*b^2*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(3,-1*im*exp(arccosh(c*x)))+26//3*b*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))+b*c*d^-2*x^-1*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))+-5*im*b*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,-1*im*exp(arccosh(c*x)))+5*im*b*c^2*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*Polylogarithms.polylog(2,im*exp(arccosh(c*x)))+-2//3*b*x*c^3*d^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^-4*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-5//2, x) == :(-2//3*x*b^2*c^4*d^-2*(d+-1*d*c^2*x^2)^-1//2+1//3*b^2*c^2*d^-2*x^-1*(d+-1*d*c^2*x^2)^-1//2+16//3*x*c^4*d^-2*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-1//3*d^-2*x^-3*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+16//3*c^3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-2*c^2*d^-2*x^-1*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-8//3*b^2*c^3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,-1*exp(2*arccosh(c*x)))+-8//3*b^2*c^3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(c*x)))+8//3*x*c^4*d^-2*(1+c*x)^-1*(1+-1*c*x)^-1*(a+b*arccosh(c*x))^2*(d+-1*d*c^2*x^2)^-1//2+-32//3*b*c^3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))+-32//3*b*c^3*d^-2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x))*log(1+-1*exp(2*arccosh(c*x)))+1//3*b*c*d^-2*x^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1*(-1+c*x)^(1/2)*(d+-1*d*c^2*x^2)^-1//2*(a+b*arccosh(c*x)))
@test integrate(x^4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(-15//64*x*a^-4*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)+-1//32*a^-2*x^3*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)+1//8*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^3+15//64*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)+-3//8*x*a^-4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+-3//8*a^-3*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)+-1//4*a^-2*x^3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+-1//8*a^-1*x^4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x))
@test integrate(x^3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(1//27*a^-4*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(-40+40*a*x)+-2//27*a^-2*x^2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)+-1//3*a^-4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(2+-2*a*x)+-4//3*x*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)+-2//9*a^-1*x^3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)+-1//3*a^-2*x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x))
@test integrate(x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(-1//4*x*a^-2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)+1//4*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)+1//6*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^3+-1//2*x*a^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+-1//2*a^-1*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x))
@test integrate(x*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(a^-2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(-2+2*a*x)+-1*a^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+-2*x*a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x))
@test integrate((1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(1//3*a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^3)
@test integrate(x^-1*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(-2*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(a*x)))+2*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(a*x)))+2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2*arctan(exp(arccosh(a*x)))+-2*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(a*x)))*arccosh(a*x)+2*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(a*x)))*arccosh(a*x))
@test integrate(x^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-1*a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(a*x)))+-1*x^-1*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+-2*a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)*log(1+exp(2*arccosh(a*x))))
@test integrate(x^-3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(-1*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arctan((1+a*x)^(1/2)*(-1+a*x)^(1/2))+-1//2*x^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^2*(1+a*x)*(1+-1*a*x)+im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(a*x)))+a*x^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)+a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2*arctan(exp(arccosh(a*x)))+-1*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(a*x)))+im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(a*x)))*arccosh(a*x)+-1*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(a*x)))*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2, x) == :(1//3*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3)
@test integrate((c+-1*c*a^2*x^2)^-3//2*arccosh(a*x)^2, x) == :(x*c^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+a^-1*c^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+-1*a^-1*c^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(a*x)))+-2*a^-1*c^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)*log(1+-1*exp(2*arccosh(a*x))))
@test integrate((c+-1*c*a^2*x^2)^-5//2*arccosh(a*x)^2, x) == :(-1//3*x*c^-2*(c+-1*c*a^2*x^2)^-1//2+2//3*x*c^-2*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+-2//3*a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(a*x)))+1//3*x*c^-2*(1+a*x)^-1*(1+-1*a*x)^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+2//3*a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+-4//3*a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)*log(1+-1*exp(2*arccosh(a*x)))+1//3*a^-1*c^-2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-7//2*arccosh(a*x)^2, x) == :(-1//3*x*c^-3*(c+-1*c*a^2*x^2)^-1//2+8//15*x*c^-3*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+-1//30*x*c^-3*(1+a*x)^-1*(1+-1*a*x)^-1*(c+-1*c*a^2*x^2)^-1//2+-8//15*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(a*x)))+1//5*x*c^-3*(1+a*x)^-2*(1+-1*a*x)^-2*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+4//15*x*c^-3*(1+a*x)^-1*(1+-1*a*x)^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+8//15*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+-16//15*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)*log(1+-1*exp(2*arccosh(a*x)))+1//10*a^-1*c^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-2*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)+4//15*a^-1*c^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^3*arccosh(a*x)^3, x) == :(16//35*x*c^3*arccosh(a*x)^3+4322//1225*x*c^3*arccosh(a*x)+-1514//3675*a^2*c^3*x^3*arccosh(a*x)+-976//315*a^-1*c^3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)+-6//343*a^6*c^3*x^7*arccosh(a*x)+1//7*x*c^3*(1+-1*a^2*x^2)^3*arccosh(a*x)^3+6//35*x*c^3*(1+-1*a^2*x^2)^2*arccosh(a*x)^3+8//35*x*c^3*arccosh(a*x)^3*(1+-1*a^2*x^2)+702//6125*a^4*c^3*x^5*arccosh(a*x)+-48//35*a^-1*c^3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*arccosh(a*x)^2+-18//175*a^-1*c^3*(1+a*x)^5//2*(-1+a*x)^5//2*arccosh(a*x)^2+3//49*a^-1*c^3*(1+a*x)^7//2*(-1+a*x)^7//2*arccosh(a*x)^2+6//2401*a^-1*c^3*(1+a*x)^-1//2*(1+-1*a^2*x^2)^4*(-1+a*x)^-1//2+8//35*a^-1*c^3*(1+a*x)^3//2*(-1+a*x)^3//2*arccosh(a*x)^2+16//315*a*c^3*x^2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)+1184//42875*a^-1*c^3*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2+2664//214375*a^-1*c^3*(1+a*x)^-1//2*(1+-1*a^2*x^2)^3*(-1+a*x)^-1//2+7104//42875*a^-1*c^3*(1+a*x)^-1//2*(-1+a*x)^-1//2*(1+-1*a^2*x^2))
@test integrate((c+-1*c*a^2*x^2)^2*arccosh(a*x)^3, x) == :(8//15*x*c^2*arccosh(a*x)^3+298//75*x*c^2*arccosh(a*x)+-488//135*a^-1*c^2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)+-76//225*a^2*c^2*x^3*arccosh(a*x)+1//5*x*c^2*(1+-1*a^2*x^2)^2*arccosh(a*x)^3+4//15*x*c^2*arccosh(a*x)^3*(1+-1*a^2*x^2)+6//125*a^4*c^2*x^5*arccosh(a*x)+-8//5*a^-1*c^2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*arccosh(a*x)^2+-3//25*a^-1*c^2*(1+a*x)^5//2*(-1+a*x)^5//2*arccosh(a*x)^2+4//15*a^-1*c^2*(1+a*x)^3//2*(-1+a*x)^3//2*arccosh(a*x)^2+6//625*a^-1*c^2*(1+a*x)^-1//2*(1+-1*a^2*x^2)^3*(-1+a*x)^-1//2+8//135*a*c^2*x^2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)+8//375*a^-1*c^2*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2+16//125*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(1+-1*a^2*x^2))
@test integrate(arccosh(a*x)^3*(c+-1*c*a^2*x^2), x) == :(2//3*c*x*arccosh(a*x)^3+14//3*c*x*arccosh(a*x)+-122//27*c*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)+-2//9*c*a^2*x^3*arccosh(a*x)+1//3*c*x*arccosh(a*x)^3*(1+-1*a^2*x^2)+-2*c*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*arccosh(a*x)^2+1//3*c*a^-1*(1+a*x)^3//2*(-1+a*x)^3//2*arccosh(a*x)^2+2//27*a*c*x^2*(1+a*x)^(1/2)*(-1+a*x)^(1/2))
@test integrate((c+-1*c*a^2*x^2)^-1*arccosh(a*x)^3, x) == :(-6*a^-1*c^-1*Polylogarithms.polylog(4,exp(arccosh(a*x)))+6*a^-1*c^-1*Polylogarithms.polylog(4,-1*exp(arccosh(a*x)))+-6*a^-1*c^-1*Polylogarithms.polylog(3,-1*exp(arccosh(a*x)))*arccosh(a*x)+-3*a^-1*c^-1*arccosh(a*x)^2*Polylogarithms.polylog(2,exp(arccosh(a*x)))+2*a^-1*c^-1*arccosh(a*x)^3*arctanh(exp(arccosh(a*x)))+3*a^-1*c^-1*arccosh(a*x)^2*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+6*a^-1*c^-1*Polylogarithms.polylog(3,exp(arccosh(a*x)))*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-2*arccosh(a*x)^3, x) == :(-3*a^-1*c^-2*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+-3*a^-1*c^-2*Polylogarithms.polylog(4,exp(arccosh(a*x)))+3*a^-1*c^-2*Polylogarithms.polylog(2,exp(arccosh(a*x)))+3*a^-1*c^-2*Polylogarithms.polylog(4,-1*exp(arccosh(a*x)))+a^-1*c^-2*arccosh(a*x)^3*arctanh(exp(arccosh(a*x)))+(1/2)*x*c^-2*(1+-1*a^2*x^2)^-1*arccosh(a*x)^3+-6*a^-1*c^-2*arccosh(a*x)*arctanh(exp(arccosh(a*x)))+-3*a^-1*c^-2*Polylogarithms.polylog(3,-1*exp(arccosh(a*x)))*arccosh(a*x)+3*a^-1*c^-2*Polylogarithms.polylog(3,exp(arccosh(a*x)))*arccosh(a*x)+-3//2*a^-1*c^-2*arccosh(a*x)^2*Polylogarithms.polylog(2,exp(arccosh(a*x)))+3//2*a^-1*c^-2*arccosh(a*x)^2*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+-3//2*a^-1*c^-2*(1+a*x)^-1//2*(-1+a*x)^-1//2*arccosh(a*x)^2)
@test integrate((c+-1*c*a^2*x^2)^-3*arccosh(a*x)^3, x) == :(-9//4*a^-1*c^-3*Polylogarithms.polylog(4,exp(arccosh(a*x)))+-5//2*a^-1*c^-3*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+5//2*a^-1*c^-3*Polylogarithms.polylog(2,exp(arccosh(a*x)))+9//4*a^-1*c^-3*Polylogarithms.polylog(4,-1*exp(arccosh(a*x)))+-5*a^-1*c^-3*arccosh(a*x)*arctanh(exp(arccosh(a*x)))+-9//4*a^-1*c^-3*Polylogarithms.polylog(3,-1*exp(arccosh(a*x)))*arccosh(a*x)+-9//8*a^-1*c^-3*arccosh(a*x)^2*Polylogarithms.polylog(2,exp(arccosh(a*x)))+-1//4*x*c^-3*(1+-1*a^2*x^2)^-1*arccosh(a*x)+1//4*x*c^-3*(1+-1*a^2*x^2)^-2*arccosh(a*x)^3+1//4*a^-1*c^-3*(1+a*x)^-1//2*(-1+a*x)^-1//2+3//4*a^-1*c^-3*arccosh(a*x)^3*arctanh(exp(arccosh(a*x)))+3//8*x*c^-3*(1+-1*a^2*x^2)^-1*arccosh(a*x)^3+9//4*a^-1*c^-3*Polylogarithms.polylog(3,exp(arccosh(a*x)))*arccosh(a*x)+9//8*a^-1*c^-3*arccosh(a*x)^2*Polylogarithms.polylog(2,-1*exp(arccosh(a*x)))+-9//8*a^-1*c^-3*(1+a*x)^-1//2*(-1+a*x)^-1//2*arccosh(a*x)^2+1//4*a^-1*c^-3*(1+a*x)^-3//2*(-1+a*x)^-3//2*arccosh(a*x)^2)
@test integrate((c+-1*c*a^2*x^2)^5//2*arccosh(a*x)^3, x) == :(5//16*x*c^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3+245//384*x*c^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+-865//2304*a*c^2*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)+-5//64*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^4+1//6*x*c^2*(1+a*x)^2*(1+-1*a*x)^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3+1//36*x*c^2*(1+a*x)^2*(1+-1*a*x)^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+1//216*a^-1*c^2*(1+a*x)^-1//2*(1+-1*a^2*x^2)^3*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)+5//24*x*c^2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x)+65//576*x*c^2*(c+-1*c*a^2*x^2)^(1/2)*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+65//2304*a^3*c^2*x^4*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)+115//768*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+-15//32*a*c^2*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+1//12*a^-1*c^2*(1+a*x)^-1//2*(1+-1*a^2*x^2)^3*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+5//32*a^-1*c^2*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2)
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^3, x) == :(3//8*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3+45//64*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+-51//128*a*c*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)+-3//32*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^4+1//4*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x)+3//32*c*x*(c+-1*c*a^2*x^2)^(1/2)*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+3//128*c*a^3*x^4*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)+27//128*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+-9//16*a*c*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+3//16*c*a^-1*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2)
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3, x) == :((1/2)*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3+3//4*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)+-3//8*a*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)+-1//8*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^4+3//8*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2+-3//4*a*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^2)
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(1//4*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^4)
@test integrate((c+-1*c*a^2*x^2)^-3//2*arccosh(a*x)^3, x) == :(x*c^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+a^-1*c^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+3//2*a^-1*c^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(3,exp(2*arccosh(a*x)))+-3*a^-1*c^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2*log(1+-1*exp(2*arccosh(a*x)))+-3*a^-1*c^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(a*x)))*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-5//2*arccosh(a*x)^3, x) == :(-1*x*c^-2*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)+2//3*x*c^-2*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(3,exp(2*arccosh(a*x)))+(1/2)*a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*log(1+-1*a^2*x^2)+1//3*x*c^-2*(1+a*x)^-1*(1+-1*a*x)^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+2//3*a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+(1/2)*a^-1*c^-2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+-2*a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2*log(1+-1*exp(2*arccosh(a*x)))+-2*a^-1*c^-2*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(a*x)))*arccosh(a*x))
@test integrate((c+-1*c*a^2*x^2)^-7//2*arccosh(a*x)^3, x) == :(-1*x*c^-3*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)+8//15*x*c^-3*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+(1/2)*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*log(1+-1*a^2*x^2)+-1//10*x*c^-3*(1+a*x)^-1*(1+-1*a*x)^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)+-1//20*a^-1*c^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2+1//5*x*c^-3*(1+a*x)^-2*(1+-1*a*x)^-2*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+4//5*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(3,exp(2*arccosh(a*x)))+4//15*x*c^-3*(1+a*x)^-1*(1+-1*a*x)^-1*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+8//15*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3+-8//5*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2*log(1+-1*exp(2*arccosh(a*x)))+-8//5*a^-1*c^-3*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*Polylogarithms.polylog(2,exp(2*arccosh(a*x)))*arccosh(a*x)+2//5*a^-1*c^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2+3//20*a^-1*c^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-2*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^2)
@test integrate(x^4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(-45//128*a^-3*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-3//128*a^-1*x^4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+3//32*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^4+45//128*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-45//64*x*a^-4*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+-9//16*a^-3*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-3//8*x*a^-4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x)+-3//16*a^-1*x^4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-3//32*a^-2*x^3*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+-1//4*a^-2*x^3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x))
@test integrate(x^3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(-40//9*x*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-2//27*a^-1*x^3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-1//3*a^-4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(2+-2*a*x)+-1//9*a^-4*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(40+-40*a*x)*arccosh(a*x)+-2*x*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-2//9*a^-2*x^2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+-1//3*a^-1*x^3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-1//3*a^-2*x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x))
@test integrate(x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(-3//8*a^-1*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+1//8*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^4+3//8*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-3//4*x*a^-2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(1+-1*a*x)*arccosh(a*x)+-3//4*a^-1*x^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-1//2*x*a^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x))
@test integrate(x*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(-1*a^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x)+-1*a^-2*(1+-1*a^2*x^2)^-1//2*(1+a*x)*(6+-6*a*x)*arccosh(a*x)+-6*x*a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)+-3*x*a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2)
@test integrate((1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(1//4*a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^4)
@test integrate(x^-1*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(-6*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(4,-1*im*exp(arccosh(a*x)))+2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^3*arctan(exp(arccosh(a*x)))+6*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(4,im*exp(arccosh(a*x)))+-6*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(a*x)))*arccosh(a*x)+-3*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2*Polylogarithms.polylog(2,-1*im*exp(arccosh(a*x)))+3*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2*Polylogarithms.polylog(2,im*exp(arccosh(a*x)))+6*im*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(a*x)))*arccosh(a*x))
@test integrate(x^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^3+-1*x^-1*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x)+3//2*a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,-1*exp(2*arccosh(a*x)))+-3*a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2*log(1+exp(2*arccosh(a*x)))+-3*a*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,-1*exp(2*arccosh(a*x)))*arccosh(a*x))
@test integrate(x^-3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3, x) == :(-1//2*x^-2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^3*(1+a*x)*(1+-1*a*x)+a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^3*arctan(exp(arccosh(a*x)))+-6*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)*arctan(exp(arccosh(a*x)))+-3*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,im*exp(arccosh(a*x)))+-3*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(4,-1*im*exp(arccosh(a*x)))+3*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(2,-1*im*exp(arccosh(a*x)))+3*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(4,im*exp(arccosh(a*x)))+3//2*a*x^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2+-3*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,im*exp(arccosh(a*x)))*arccosh(a*x)+3*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*Polylogarithms.polylog(3,-1*im*exp(arccosh(a*x)))*arccosh(a*x)+-3//2*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2*Polylogarithms.polylog(2,-1*im*exp(arccosh(a*x)))+3//2*im*a^2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^2*Polylogarithms.polylog(2,im*exp(arccosh(a*x))))
@test integrate((c+-1*c*a^2*x^2)^3*arccosh(a*x)^-1, x) == :(-21//64*a^-1*c^3*sinhintegral(3*arccosh(a*x))+-1//64*a^-1*c^3*sinhintegral(7*arccosh(a*x))+7//64*a^-1*c^3*sinhintegral(5*arccosh(a*x))+35//64*a^-1*c^3*sinhintegral(arccosh(a*x)))
@test integrate((c+-1*c*a^2*x^2)^2*arccosh(a*x)^-1, x) == :(-5//16*a^-1*c^2*sinhintegral(3*arccosh(a*x))+1//16*a^-1*c^2*sinhintegral(5*arccosh(a*x))+5//8*a^-1*c^2*sinhintegral(arccosh(a*x)))
@test integrate(arccosh(a*x)^-1*(c+-1*c*a^2*x^2), x) == :(-1//4*c*a^-1*sinhintegral(3*arccosh(a*x))+3//4*c*a^-1*sinhintegral(arccosh(a*x)))
@test integrate(x^4*(1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-1, x) == :(-1//16*b^-1*c^-5*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*log(a+b*arccosh(c*x))+-1//16*b^-1*c^-5*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+-1//32*b^-1*c^-5*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1)+-1//32*b^-1*c^-5*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(6*a*b^-1)*sinhintegral(6*arccosh(c*x)+6*a*b^-1)+1//16*b^-1*c^-5*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*coshintegral(4*arccosh(c*x)+4*a*b^-1)+1//32*b^-1*c^-5*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(6*a*b^-1)*coshintegral(6*arccosh(c*x)+6*a*b^-1)+1//32*b^-1*c^-5*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1))
@test integrate(x^3*(1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-1, x) == :(-1//8*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+-1//16*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+-1//16*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+1//8*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+1//16*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1)+1//16*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*coshintegral(5*arccosh(c*x)+5*a*b^-1))
@test integrate(x^2*(1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-1, x) == :(-1//8*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*log(a+b*arccosh(c*x))+-1//8*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+1//8*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*coshintegral(4*arccosh(c*x)+4*a*b^-1))
@test integrate(x*(1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-1, x) == :(-1//4*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+-1//4*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+1//4*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1)+1//4*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x)))
@test integrate((1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-1, x) == :(-1//2*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*log(a+b*arccosh(c*x))+(1/2)*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1)+-1//2*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1))
@test integrate(x^3*(1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-1, x) == :(-3//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+-3//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+-1//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(7*a*b^-1)*coshintegral(7*arccosh(c*x)+7*a*b^-1)+-1//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+1//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*coshintegral(5*arccosh(c*x)+5*a*b^-1)+1//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(7*a*b^-1)*sinhintegral(7*arccosh(c*x)+7*a*b^-1)+3//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1)+3//64*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x)))
@test integrate(x^2*(1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-1, x) == :(-1//16*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*log(a+b*arccosh(c*x))+-1//16*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+-1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(6*a*b^-1)*coshintegral(6*arccosh(c*x)+6*a*b^-1)+-1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+1//16*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*coshintegral(4*arccosh(c*x)+4*a*b^-1)+1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1)+1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(6*a*b^-1)*sinhintegral(6*arccosh(c*x)+6*a*b^-1))
@test integrate(x*(1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-1, x) == :(-3//16*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+-1//8*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+-1//16*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*coshintegral(5*arccosh(c*x)+5*a*b^-1)+1//8*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+1//16*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+3//16*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1))
@test integrate((1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-1, x) == :(-3//8*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*log(a+b*arccosh(c*x))+(1/2)*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1)+-1//2*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+-1//8*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*coshintegral(4*arccosh(c*x)+4*a*b^-1)+1//8*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1))
@test integrate(x^3*(1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-1, x) == :(-3//128*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+-3//256*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(7*a*b^-1)*coshintegral(7*arccosh(c*x)+7*a*b^-1)+-1//32*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+-1//256*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(9*a*b^-1)*sinhintegral(9*arccosh(c*x)+9*a*b^-1)+1//32*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1)+1//256*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(9*a*b^-1)*coshintegral(9*arccosh(c*x)+9*a*b^-1)+3//128*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+3//256*b^-1*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(7*a*b^-1)*sinhintegral(7*arccosh(c*x)+7*a*b^-1))
@test integrate(x^2*(1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-1, x) == :(-5//128*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*log(a+b*arccosh(c*x))+-1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(6*a*b^-1)*coshintegral(6*arccosh(c*x)+6*a*b^-1)+-1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+-1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+-1//128*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(8*a*b^-1)*sinhintegral(8*arccosh(c*x)+8*a*b^-1)+1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1)+1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*coshintegral(4*arccosh(c*x)+4*a*b^-1)+1//32*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(6*a*b^-1)*sinhintegral(6*arccosh(c*x)+6*a*b^-1)+1//128*b^-1*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(8*a*b^-1)*coshintegral(8*arccosh(c*x)+8*a*b^-1))
@test integrate(x*(1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-1, x) == :(-9//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+-5//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+-5//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*coshintegral(5*arccosh(c*x)+5*a*b^-1)+-1//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(7*a*b^-1)*sinhintegral(7*arccosh(c*x)+7*a*b^-1)+1//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(7*a*b^-1)*coshintegral(7*arccosh(c*x)+7*a*b^-1)+5//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+5//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+9//64*b^-1*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1))
@test integrate((1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-1, x) == :(-5//16*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*log(a+b*arccosh(c*x))+-15//32*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+-3//16*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*coshintegral(4*arccosh(c*x)+4*a*b^-1)+-1//32*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(6*a*b^-1)*sinhintegral(6*arccosh(c*x)+6*a*b^-1)+1//32*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(6*a*b^-1)*coshintegral(6*arccosh(c*x)+6*a*b^-1)+3//16*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*sinh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+15//32*b^-1*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1))
@test integrate(x^4*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^-1, x) == :((1/2)*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*coshintegral(2*arccosh(a*x))+1//8*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*coshintegral(4*arccosh(a*x))+3//8*a^-5*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*log(arccosh(a*x)))
@test integrate(x^3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^-1, x) == :(1//4*a^-4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*coshintegral(3*arccosh(a*x))+3//4*a^-4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*coshintegral(arccosh(a*x)))
@test integrate(x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^-1, x) == :((1/2)*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*coshintegral(2*arccosh(a*x))+(1/2)*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*log(arccosh(a*x)))
@test integrate(x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^-1, x) == :((1/2)*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*coshintegral(2*arccosh(a*x))+(1/2)*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*log(arccosh(a*x)))
@test integrate(x*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^-1, x) == :(a^-2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*coshintegral(arccosh(a*x)))
@test integrate((1+-1*a^2*x^2)^-1//2*arccosh(a*x)^-1, x) == :(a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*log(arccosh(a*x)))
@test integrate(x^5*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-1, x) == :(-5//8*b^-1*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+-5//16*b^-1*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+-1//16*b^-1*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+1//16*b^-1*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(5*a*b^-1)*coshintegral(5*arccosh(c*x)+5*a*b^-1)+5//8*b^-1*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+5//16*b^-1*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1))
@test integrate(x^4*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-1, x) == :(3//8*b^-1*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*log(a+b*arccosh(c*x))+(1/2)*b^-1*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1)+-1//2*b^-1*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+-1//8*b^-1*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+1//8*b^-1*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(4*a*b^-1)*coshintegral(4*arccosh(c*x)+4*a*b^-1))
@test integrate(x^3*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-1, x) == :(-3//4*b^-1*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+-1//4*b^-1*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+1//4*b^-1*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(3*a*b^-1)*coshintegral(3*arccosh(c*x)+3*a*b^-1)+3//4*b^-1*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x)))
@test integrate(x^2*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-1, x) == :((1/2)*b^-1*c^-3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*log(a+b*arccosh(c*x))+(1/2)*b^-1*c^-3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(2*a*b^-1)*coshintegral(2*arccosh(c*x)+2*a*b^-1)+-1//2*b^-1*c^-3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1))
@test integrate(x*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-1, x) == :(b^-1*c^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(a*b^-1)*coshintegral(a*b^-1+arccosh(c*x))+-1*b^-1*c^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*sinh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x)))
@test integrate((1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-1, x) == :(b^-1*c^-1*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*log(a+b*arccosh(c*x)))
@test integrate((c+-1*c*a^2*x^2)^3*arccosh(a*x)^-2, x) == :(-63//64*a^-1*c^3*coshintegral(3*arccosh(a*x))+-7//64*a^-1*c^3*coshintegral(7*arccosh(a*x))+35//64*a^-1*c^3*coshintegral(5*arccosh(a*x))+35//64*a^-1*c^3*coshintegral(arccosh(a*x))+a^-1*c^3*(1+a*x)^7//2*(-1+a*x)^7//2*arccosh(a*x)^-1)
@test integrate((c+-1*c*a^2*x^2)^2*arccosh(a*x)^-2, x) == :(-15//16*a^-1*c^2*coshintegral(3*arccosh(a*x))+5//8*a^-1*c^2*coshintegral(arccosh(a*x))+5//16*a^-1*c^2*coshintegral(5*arccosh(a*x))+-1*a^-1*c^2*(1+a*x)^5//2*(-1+a*x)^5//2*arccosh(a*x)^-1)
@test integrate(arccosh(a*x)^-2*(c+-1*c*a^2*x^2), x) == :(-3//4*c*a^-1*coshintegral(3*arccosh(a*x))+3//4*c*a^-1*coshintegral(arccosh(a*x))+c*a^-1*(1+a*x)^3//2*(-1+a*x)^3//2*arccosh(a*x)^-1)
@test integrate(x^3*(1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-2, x) == :(-5//16*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(5*arccosh(c*x)+5*a*b^-1)*sinh(5*a*b^-1)+-3//16*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-1//8*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+1//8*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+3//16*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+5//16*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+b^-1*c^-1*x^3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1*(1+-1*c*x))
@test integrate(x^2*(1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-2, x) == :((1/2)*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+-1//2*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(4*arccosh(c*x)+4*a*b^-1)*sinh(4*a*b^-1)+b^-1*c^-1*x^2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1*(1+-1*c*x))
@test integrate(x*(1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-2, x) == :(b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(b^-1*(a+b*arccosh(c*x)))*sinh(a*b^-1)+-1*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*sinhintegral(b^-1*(a+b*arccosh(c*x)))+-3//4*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-3//4*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+3//4*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+3//4*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+x*b^-1*c^-1*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1*(1+-1*c*x))
@test integrate((1+-1*c^2*x^2)^(1/2)*(a+b*arccosh(c*x))^-2, x) == :(b^-1*c^-1*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1*(1+-1*c*x)+b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+-1*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(2*arccosh(c*x)+2*a*b^-1)*sinh(2*a*b^-1))
@test integrate(x^3*(1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-2, x) == :(-9//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-7//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(7*a*b^-1)*sinhintegral(7*arccosh(c*x)+7*a*b^-1)+-5//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(5*arccosh(c*x)+5*a*b^-1)*sinh(5*a*b^-1)+-3//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+3//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+5//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+7//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(7*arccosh(c*x)+7*a*b^-1)*sinh(7*a*b^-1)+9//64*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+b^-1*c^-1*x^3*(1+c*x)^3//2*(1+-1*c*x)^2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1)
@test integrate(x^2*(1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-2, x) == :(-3//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(6*a*b^-1)*sinhintegral(6*arccosh(c*x)+6*a*b^-1)+-1//4*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(4*arccosh(c*x)+4*a*b^-1)*sinh(4*a*b^-1)+-1//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(2*arccosh(c*x)+2*a*b^-1)*sinh(2*a*b^-1)+1//4*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+1//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+3//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(6*arccosh(c*x)+6*a*b^-1)*sinh(6*a*b^-1)+b^-1*c^-1*x^2*(1+c*x)^3//2*(1+-1*c*x)^2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1)
@test integrate(x*(1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-2, x) == :(-9//16*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-5//16*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+-1//8*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+1//8*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+5//16*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(5*arccosh(c*x)+5*a*b^-1)*sinh(5*a*b^-1)+9//16*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+x*b^-1*c^-1*(1+c*x)^3//2*(1+-1*c*x)^2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1)
@test integrate((1+-1*c^2*x^2)^3//2*(a+b*arccosh(c*x))^-2, x) == :(b^-1*c^-1*(1+c*x)^3//2*(1+-1*c*x)^2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1+b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+(1/2)*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(4*arccosh(c*x)+4*a*b^-1)*sinh(4*a*b^-1)+-1*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(2*arccosh(c*x)+2*a*b^-1)*sinh(2*a*b^-1)+-1//2*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1))
@test integrate(x^3*(1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-2, x) == :(-21//256*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(7*a*b^-1)*sinhintegral(7*arccosh(c*x)+7*a*b^-1)+-9//256*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(9*arccosh(c*x)+9*a*b^-1)*sinh(9*a*b^-1)+-3//32*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-3//128*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+3//32*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+3//128*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+9//256*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(9*a*b^-1)*sinhintegral(9*arccosh(c*x)+9*a*b^-1)+21//256*b^-2*c^-4*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(7*arccosh(c*x)+7*a*b^-1)*sinh(7*a*b^-1)+b^-1*c^-1*x^3*(1+c*x)^5//2*(1+-1*c*x)^3*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1)
@test integrate(x^2*(1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-2, x) == :(-3//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(6*a*b^-1)*sinhintegral(6*arccosh(c*x)+6*a*b^-1)+-1//8*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(4*arccosh(c*x)+4*a*b^-1)*sinh(4*a*b^-1)+-1//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(2*arccosh(c*x)+2*a*b^-1)*sinh(2*a*b^-1)+-1//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(8*arccosh(c*x)+8*a*b^-1)*sinh(8*a*b^-1)+1//8*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+1//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+1//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(8*a*b^-1)*sinhintegral(8*arccosh(c*x)+8*a*b^-1)+3//16*b^-2*c^-3*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(6*arccosh(c*x)+6*a*b^-1)*sinh(6*a*b^-1)+b^-1*c^-1*x^2*(1+c*x)^5//2*(1+-1*c*x)^3*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1)
@test integrate(x*(1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-2, x) == :(-27//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-25//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+-7//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(7*arccosh(c*x)+7*a*b^-1)*sinh(7*a*b^-1)+-5//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+5//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+7//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(7*a*b^-1)*sinhintegral(7*arccosh(c*x)+7*a*b^-1)+25//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(5*arccosh(c*x)+5*a*b^-1)*sinh(5*a*b^-1)+27//64*b^-2*c^-2*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1)+x*b^-1*c^-1*(1+c*x)^5//2*(1+-1*c*x)^3*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1)
@test integrate((1+-1*c^2*x^2)^5//2*(a+b*arccosh(c*x))^-2, x) == :(b^-1*c^-1*(1+c*x)^5//2*(1+-1*c*x)^3*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^-1+-15//16*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(2*arccosh(c*x)+2*a*b^-1)*sinh(2*a*b^-1)+-3//4*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+-3//16*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(6*arccosh(c*x)+6*a*b^-1)*sinh(6*a*b^-1)+3//4*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*coshintegral(4*arccosh(c*x)+4*a*b^-1)*sinh(4*a*b^-1)+3//16*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(6*a*b^-1)*sinhintegral(6*arccosh(c*x)+6*a*b^-1)+15//16*b^-2*c^-1*(1+c*x)^-1//2*(1+-1*c^2*x^2)^(1/2)*(-1+c*x)^-1//2*cosh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1))
@test integrate(x^5*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-2, x) == :(-1*b^-1*c^-1*x^5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1+-15//16*b^-2*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-5//8*b^-2*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+-5//16*b^-2*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(5*arccosh(c*x)+5*a*b^-1)*sinh(5*a*b^-1)+5//8*b^-2*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+5//16*b^-2*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(5*a*b^-1)*sinhintegral(5*arccosh(c*x)+5*a*b^-1)+15//16*b^-2*c^-6*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1))
@test integrate(x^4*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-2, x) == :(b^-2*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+(1/2)*b^-2*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(4*a*b^-1)*sinhintegral(4*arccosh(c*x)+4*a*b^-1)+-1*b^-1*c^-1*x^4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1+-1*b^-2*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(2*arccosh(c*x)+2*a*b^-1)*sinh(2*a*b^-1)+-1//2*b^-2*c^-5*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(4*arccosh(c*x)+4*a*b^-1)*sinh(4*a*b^-1))
@test integrate(x^3*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-2, x) == :(-1*b^-1*c^-1*x^3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1+-3//4*b^-2*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(3*arccosh(c*x)+3*a*b^-1)*sinh(3*a*b^-1)+-3//4*b^-2*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(a*b^-1+arccosh(c*x))*sinh(a*b^-1)+3//4*b^-2*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(a*b^-1)*sinhintegral(a*b^-1+arccosh(c*x))+3//4*b^-2*c^-4*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(3*a*b^-1)*sinhintegral(3*arccosh(c*x)+3*a*b^-1))
@test integrate(x^2*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-2, x) == :(b^-2*c^-3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(2*a*b^-1)*sinhintegral(2*arccosh(c*x)+2*a*b^-1)+-1*b^-1*c^-1*x^2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1+-1*b^-2*c^-3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(2*arccosh(c*x)+2*a*b^-1)*sinh(2*a*b^-1))
@test integrate(x*(1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-2, x) == :(b^-2*c^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*cosh(a*b^-1)*sinhintegral(b^-1*(a+b*arccosh(c*x)))+-1*x*b^-1*c^-1*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1+-1*b^-2*c^-2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*coshintegral(b^-1*(a+b*arccosh(c*x)))*sinh(a*b^-1))
@test integrate((1+-1*c^2*x^2)^-1//2*(a+b*arccosh(c*x))^-2, x) == :(-1*b^-1*c^-1*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^-1//2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1)
@test integrate((1+-1*a^2*x^2)^-1//2*arccosh(a*x)^-3, x) == :(-1//2*a^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^-2)
@test integrate(x^2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2), x) == :(-1//8*b^-1*c^-3*(1+n)^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^(1+n)*(d+-1*d*c^2*x^2)^(1/2)+2^(-6+-2n)*c^-3*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-4a+-4*b*arccosh(c*x)))*exp(-4*a*b^-1)+-1*2^(-6+-2n)*c^-3*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(4a+4*b*arccosh(c*x)))*exp(4*a*b^-1))
@test integrate(x*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2), x) == :(-1//8*c^-2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,-1*b^-1*(a+b*arccosh(c*x)))*exp(-1*a*b^-1)+1//8*c^-2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(a+b*arccosh(c*x)))*exp(a*b^-1)+-1//8*3^(-1+-1n)*c^-2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(3a+3*b*arccosh(c*x)))*exp(3*a*b^-1)+1//8*3^(-1+-1n)*c^-2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-3a+-3*b*arccosh(c*x)))*exp(-3*a*b^-1))
@test integrate((a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2), x) == :(-1//2*b^-1*c^-1*(1+n)^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^(1+n)*(d+-1*d*c^2*x^2)^(1/2)+2^(-3+-1n)*c^-1*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-2a+-2*b*arccosh(c*x)))*exp(-2*a*b^-1)+-1*2^(-3+-1n)*c^-1*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(2a+2*b*arccosh(c*x)))*exp(2*a*b^-1))
@test integrate(x^2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^3//2, x) == :(-1//16*d*b^-1*c^-3*(1+n)^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^(1+n)*(d+-1*d*c^2*x^2)^(1/2)+d*2^(-7+-1n)*c^-3*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-2a+-2*b*arccosh(c*x)))*exp(-2*a*b^-1)+d*2^(-7+-2n)*c^-3*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-4a+-4*b*arccosh(c*x)))*exp(-4*a*b^-1)+-1*d*2^(-7+-1n)*c^-3*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(2a+2*b*arccosh(c*x)))*exp(2*a*b^-1)+-1*d*2^(-7+-2n)*c^-3*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(4a+4*b*arccosh(c*x)))*exp(4*a*b^-1)+d*2^(-7+-1n)*3^(-1+-1n)*c^-3*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(6a+6*b*arccosh(c*x)))*exp(6*a*b^-1)+-1*d*2^(-7+-1n)*3^(-1+-1n)*c^-3*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-6a+-6*b*arccosh(c*x)))*exp(-6*a*b^-1))
@test integrate(x*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^3//2, x) == :(-1//16*d*c^-2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,-1*b^-1*(a+b*arccosh(c*x)))*exp(-1*a*b^-1)+1//16*d*c^-2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(a+b*arccosh(c*x)))*exp(a*b^-1)+-1//32*d*3^(-1n)*c^-2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(3a+3*b*arccosh(c*x)))*exp(3*a*b^-1)+-1//32*d*5^(-1+-1n)*c^-2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-5a+-5*b*arccosh(c*x)))*exp(-5*a*b^-1)+1//32*d*3^(-1n)*c^-2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-3a+-3*b*arccosh(c*x)))*exp(-3*a*b^-1)+1//32*d*5^(-1+-1n)*c^-2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(5a+5*b*arccosh(c*x)))*exp(5*a*b^-1))
@test integrate((a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^3//2, x) == :(-3//8*d*b^-1*c^-1*(1+n)^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^(1+n)*(d+-1*d*c^2*x^2)^(1/2)+d*2^(-6+-2n)*c^-1*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(4a+4*b*arccosh(c*x)))*exp(4*a*b^-1)+d*2^(-3+-1n)*c^-1*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-2a+-2*b*arccosh(c*x)))*exp(-2*a*b^-1)+-1*d*2^(-6+-2n)*c^-1*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-4a+-4*b*arccosh(c*x)))*exp(-4*a*b^-1)+-1*d*2^(-3+-1n)*c^-1*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(2a+2*b*arccosh(c*x)))*exp(2*a*b^-1))
@test integrate(x^2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^5//2, x) == :(-5//128*b^-1*c^-3*d^2*(1+n)^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^(1+n)*(d+-1*d*c^2*x^2)^(1/2)+2^(-11+-3n)*c^-3*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-8a+-8*b*arccosh(c*x)))*exp(-8*a*b^-1)+2^(-8+-2n)*c^-3*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-4a+-4*b*arccosh(c*x)))*exp(-4*a*b^-1)+2^(-7+-1n)*c^-3*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-2a+-2*b*arccosh(c*x)))*exp(-2*a*b^-1)+-1*2^(-11+-3n)*c^-3*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(8a+8*b*arccosh(c*x)))*exp(8*a*b^-1)+-1*2^(-8+-2n)*c^-3*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(4a+4*b*arccosh(c*x)))*exp(4*a*b^-1)+-1*2^(-7+-1n)*c^-3*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(2a+2*b*arccosh(c*x)))*exp(2*a*b^-1)+2^(-7+-1n)*3^(-1+-1n)*c^-3*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(6a+6*b*arccosh(c*x)))*exp(6*a*b^-1)+-1*2^(-7+-1n)*3^(-1+-1n)*c^-3*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-6a+-6*b*arccosh(c*x)))*exp(-6*a*b^-1))
@test integrate(x*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^5//2, x) == :(-5//128*c^-2*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,-1*b^-1*(a+b*arccosh(c*x)))*exp(-1*a*b^-1)+5//128*c^-2*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(a+b*arccosh(c*x)))*exp(a*b^-1)+-1//128*3^(1+-1n)*c^-2*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(3a+3*b*arccosh(c*x)))*exp(3*a*b^-1)+-1//128*5^(-1n)*c^-2*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-5a+-5*b*arccosh(c*x)))*exp(-5*a*b^-1)+-1//128*7^(-1+-1n)*c^-2*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(7a+7*b*arccosh(c*x)))*exp(7*a*b^-1)+1//128*3^(1+-1n)*c^-2*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-3a+-3*b*arccosh(c*x)))*exp(-3*a*b^-1)+1//128*5^(-1n)*c^-2*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(5a+5*b*arccosh(c*x)))*exp(5*a*b^-1)+1//128*7^(-1+-1n)*c^-2*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-7a+-7*b*arccosh(c*x)))*exp(-7*a*b^-1))
@test integrate((a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^5//2, x) == :(-5//16*b^-1*c^-1*d^2*(1+n)^-1*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^(1+n)*(d+-1*d*c^2*x^2)^(1/2)+-15*2^(-7+-1n)*c^-1*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(2a+2*b*arccosh(c*x)))*exp(2*a*b^-1)+-3*2^(-7+-2n)*c^-1*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-4a+-4*b*arccosh(c*x)))*exp(-4*a*b^-1)+3*2^(-7+-2n)*c^-1*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(4a+4*b*arccosh(c*x)))*exp(4*a*b^-1)+15*2^(-7+-1n)*c^-1*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-2a+-2*b*arccosh(c*x)))*exp(-2*a*b^-1)+2^(-7+-1n)*3^(-1+-1n)*c^-1*d^2*(-1*b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(-6a+-6*b*arccosh(c*x)))*exp(-6*a*b^-1)+-1*2^(-7+-1n)*3^(-1+-1n)*c^-1*d^2*(b^-1*(a+b*arccosh(c*x)))^(-1n)*(1+c*x)^-1//2*(-1+c*x)^-1//2*(a+b*arccosh(c*x))^n*(d+-1*d*c^2*x^2)^(1/2)*SpecialFunctions.gamma(1+n,b^-1*(6a+6*b*arccosh(c*x)))*exp(6*a*b^-1))
@test integrate(x^3*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^n, x) == :(-3//8*a^-4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*SpecialFunctions.gamma(1+n,arccosh(a*x))+-1//8*3^(-1+-1n)*a^-4*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*SpecialFunctions.gamma(1+n,3*arccosh(a*x))+3//8*a^-4*(-1*arccosh(a*x))^(-1n)*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^n*SpecialFunctions.gamma(1+n,-1*arccosh(a*x))+1//8*3^(-1+-1n)*a^-4*(-1*arccosh(a*x))^(-1n)*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^n*SpecialFunctions.gamma(1+n,-3*arccosh(a*x)))
@test integrate(x^2*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^n, x) == :((1/2)*a^-3*(1+n)^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^(1+n)+-1*2^(-3+-1n)*a^-3*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*SpecialFunctions.gamma(1+n,2*arccosh(a*x))+2^(-3+-1n)*a^-3*(-1*arccosh(a*x))^(-1n)*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^n*SpecialFunctions.gamma(1+n,-2*arccosh(a*x)))
@test integrate(x*(1+-1*a^2*x^2)^-1//2*arccosh(a*x)^n, x) == :(-1//2*a^-2*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*SpecialFunctions.gamma(1+n,arccosh(a*x))+(1/2)*a^-2*(-1*arccosh(a*x))^(-1n)*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^n*SpecialFunctions.gamma(1+n,-1*arccosh(a*x)))
@test integrate((1+-1*a^2*x^2)^-1//2*arccosh(a*x)^n, x) == :(a^-1*(1+n)^-1*(1+a*x)^(1/2)*(1+-1*a^2*x^2)^-1//2*(-1+a*x)^(1/2)*arccosh(a*x)^(1+n))
@test integrate(x^3*(a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2), x) == :(-1//32*d*6^(1/2)*pi^(1/2)*b^-3//2*c^-4*erf(6^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(6*a*b^-1)+-1//32*d*6^(1/2)*pi^(1/2)*b^-3//2*c^-4*erfi(6^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-6*a*b^-1)+3//32*d*2^(1/2)*pi^(1/2)*b^-3//2*c^-4*erf(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(2*a*b^-1)+3//32*d*2^(1/2)*pi^(1/2)*b^-3//2*c^-4*erfi(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-2*a*b^-1)+-2*d*b^-1*c^-1*x^3*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1//2*(1+-1*c^2*x^2))
@test integrate(x^2*(a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2), x) == :(1//8*d*pi^(1/2)*b^-3//2*c^-3*erf(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(a*b^-1)+1//8*d*pi^(1/2)*b^-3//2*c^-3*erfi(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-1*a*b^-1)+-1//16*d*5^(1/2)*pi^(1/2)*b^-3//2*c^-3*erf(5^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(5*a*b^-1)+-1//16*d*5^(1/2)*pi^(1/2)*b^-3//2*c^-3*erfi(5^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-5*a*b^-1)+1//16*d*3^(1/2)*pi^(1/2)*b^-3//2*c^-3*erf(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(3*a*b^-1)+1//16*d*3^(1/2)*pi^(1/2)*b^-3//2*c^-3*erfi(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-3*a*b^-1)+-2*d*b^-1*c^-1*x^2*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1//2*(1+-1*c^2*x^2))
@test integrate(x*(a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2), x) == :(-1//4*d*pi^(1/2)*b^-3//2*c^-2*erf(2*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(4*a*b^-1)+-1//4*d*pi^(1/2)*b^-3//2*c^-2*erfi(2*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-4*a*b^-1)+1//4*d*2^(1/2)*pi^(1/2)*b^-3//2*c^-2*erf(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(2*a*b^-1)+1//4*d*2^(1/2)*pi^(1/2)*b^-3//2*c^-2*erfi(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-2*a*b^-1)+-2*d*x*b^-1*c^-1*(1+c*x)^(1/2)*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1//2*(1+-1*c^2*x^2))
@test integrate((a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2), x) == :(2*d*b^-1*c^-1*(1+c*x)^3//2*(-1+c*x)^3//2*(a+b*arccosh(c*x))^-1//2+3//4*d*pi^(1/2)*b^-3//2*c^-1*erf(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(a*b^-1)+3//4*d*pi^(1/2)*b^-3//2*c^-1*erfi(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-1*a*b^-1)+-1//4*d*3^(1/2)*pi^(1/2)*b^-3//2*c^-1*erf(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(3*a*b^-1)+-1//4*d*3^(1/2)*pi^(1/2)*b^-3//2*c^-1*erfi(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-3*a*b^-1))
@test integrate(x^3*(a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2)^2, x) == :(-1//32*pi^(1/2)*b^-3//2*c^-4*d^2*erf(2*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(4*a*b^-1)+-1//32*pi^(1/2)*b^-3//2*c^-4*d^2*erfi(2*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-4*a*b^-1)+-1//64*6^(1/2)*pi^(1/2)*b^-3//2*c^-4*d^2*erf(6^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(6*a*b^-1)+-1//64*6^(1/2)*pi^(1/2)*b^-3//2*c^-4*d^2*erfi(6^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-6*a*b^-1)+1//64*2^(1/2)*pi^(1/2)*b^-3//2*c^-4*d^2*erf(2*2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(8*a*b^-1)+1//64*2^(1/2)*pi^(1/2)*b^-3//2*c^-4*d^2*erfi(2*2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-8*a*b^-1)+3//64*2^(1/2)*pi^(1/2)*b^-3//2*c^-4*d^2*erf(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(2*a*b^-1)+3//64*2^(1/2)*pi^(1/2)*b^-3//2*c^-4*d^2*erfi(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-2*a*b^-1)+-2*b^-1*c^-1*d^2*x^3*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1//2)
@test integrate(x^2*(a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2)^2, x) == :(5//64*pi^(1/2)*b^-3//2*c^-3*d^2*erf(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(a*b^-1)+5//64*pi^(1/2)*b^-3//2*c^-3*d^2*erfi(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-1*a*b^-1)+-3//64*5^(1/2)*pi^(1/2)*b^-3//2*c^-3*d^2*erf(5^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(5*a*b^-1)+-3//64*5^(1/2)*pi^(1/2)*b^-3//2*c^-3*d^2*erfi(5^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-5*a*b^-1)+1//64*3^(1/2)*pi^(1/2)*b^-3//2*c^-3*d^2*erf(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(3*a*b^-1)+1//64*3^(1/2)*pi^(1/2)*b^-3//2*c^-3*d^2*erfi(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-3*a*b^-1)+1//64*7^(1/2)*pi^(1/2)*b^-3//2*c^-3*d^2*erf(7^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(7*a*b^-1)+1//64*7^(1/2)*pi^(1/2)*b^-3//2*c^-3*d^2*erfi(7^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-7*a*b^-1)+-2*b^-1*c^-1*d^2*x^2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1//2)
@test integrate(x*(a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2)^2, x) == :(-1//4*pi^(1/2)*b^-3//2*c^-2*d^2*erf(2*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(4*a*b^-1)+-1//4*pi^(1/2)*b^-3//2*c^-2*d^2*erfi(2*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-4*a*b^-1)+1//32*6^(1/2)*pi^(1/2)*b^-3//2*c^-2*d^2*erf(6^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(6*a*b^-1)+1//32*6^(1/2)*pi^(1/2)*b^-3//2*c^-2*d^2*erfi(6^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-6*a*b^-1)+5//32*2^(1/2)*pi^(1/2)*b^-3//2*c^-2*d^2*erf(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(2*a*b^-1)+5//32*2^(1/2)*pi^(1/2)*b^-3//2*c^-2*d^2*erfi(2^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-2*a*b^-1)+-2*x*b^-1*c^-1*d^2*(1+c*x)^(1/2)*(1+-1*c^2*x^2)^2*(-1+c*x)^(1/2)*(a+b*arccosh(c*x))^-1//2)
@test integrate((a+b*arccosh(c*x))^-3//2*(d+-1*d*c^2*x^2)^2, x) == :(-2*b^-1*c^-1*d^2*(1+c*x)^5//2*(-1+c*x)^5//2*(a+b*arccosh(c*x))^-1//2+5//8*pi^(1/2)*b^-3//2*c^-1*d^2*erf(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(a*b^-1)+5//8*pi^(1/2)*b^-3//2*c^-1*d^2*erfi(b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-1*a*b^-1)+-5//16*3^(1/2)*pi^(1/2)*b^-3//2*c^-1*d^2*erf(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(3*a*b^-1)+-5//16*3^(1/2)*pi^(1/2)*b^-3//2*c^-1*d^2*erfi(3^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-3*a*b^-1)+1//16*5^(1/2)*pi^(1/2)*b^-3//2*c^-1*d^2*erf(5^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(5*a*b^-1)+1//16*5^(1/2)*pi^(1/2)*b^-3//2*c^-1*d^2*erfi(5^(1/2)*b^-1//2*(a+b*arccosh(c*x))^(1/2))*exp(-5*a*b^-1))
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^(1/2), x) == :(3//8*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-1//4*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+1//4*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)*(1+a*x)*(1+-1*a*x)+-1//256*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+1//256*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+-1//32*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2))+1//32*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2), x) == :((1/2)*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-1//3*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+-1//32*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2))+1//32*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^(1/2), x) == :(2//3*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3//2)
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^3//2, x) == :(3//8*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+-3//20*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^5//2+1//4*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2*(1+a*x)*(1+-1*a*x)+27//256*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-9//32*a*c*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-3//2048*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+-3//2048*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+3//32*c*a^-1*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+3//128*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+3//128*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2, x) == :((1/2)*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+-1//5*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^5//2+3//16*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-3//8*a*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+3//128*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+3//128*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^3//2, x) == :(2//5*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^5//2)
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^5//2, x) == :(3//8*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^5//2+225//512*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-3//28*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^7//2+1//4*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^5//2*(1+a*x)*(1+-1*a*x)+15//256*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)*(1+a*x)*(1+-1*a*x)+45//256*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+-15//32*a*c*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+-15//16384*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+5//32*c*a^-1*(1+a*x)^-1//2*(1+-1*a^2*x^2)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+15//16384*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+-15//512*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2))+15//512*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^5//2, x) == :((1/2)*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^5//2+15//32*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-1//7*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^7//2+5//16*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+-5//8*a*x^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^3//2+-15//512*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2))+15//512*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^5//2, x) == :(2//7*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^7//2)
@test integrate((a^2+-1*x^2)^3//2*arccosh(x*a^-1)^(1/2), x) == :(3//8*x*a^2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2)+x*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2)*(a+x)*(-1//4*x+1//4*a)+-1//4*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^3//2+-1//256*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erf(2*arccosh(x*a^-1)^(1/2))+1//256*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erfi(2*arccosh(x*a^-1)^(1/2))+-1//32*2^(1/2)*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erfi(2^(1/2)*arccosh(x*a^-1)^(1/2))+1//32*2^(1/2)*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erf(2^(1/2)*arccosh(x*a^-1)^(1/2)))
@test integrate((a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2), x) == :((1/2)*x*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2)+-1//3*a*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^3//2+-1//32*a*2^(1/2)*pi^(1/2)*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erfi(2^(1/2)*arccosh(x*a^-1)^(1/2))+1//32*a*2^(1/2)*pi^(1/2)*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erf(2^(1/2)*arccosh(x*a^-1)^(1/2)))
@test integrate((a^2+-1*x^2)^-1//2*arccosh(x*a^-1)^(1/2), x) == :(2//3*a*(1+x*a^-1)^(1/2)*(-1+x*a^-1)^(1/2)*(a^2+-1*x^2)^-1//2*arccosh(x*a^-1)^3//2)
@test integrate((a^2+-1*x^2)^3//2*arccosh(x*a^-1)^3//2, x) == :(3//8*x*a^2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^3//2+x*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^3//2*(a+x)*(-1//4*x+1//4*a)+-3//20*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^5//2+3//32*a^-1*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^5//2*arccosh(x*a^-1)^(1/2)+27//256*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2)+-9//32*a*x^2*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2)+-3//2048*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erf(2*arccosh(x*a^-1)^(1/2))+-3//2048*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erfi(2*arccosh(x*a^-1)^(1/2))+3//128*2^(1/2)*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erf(2^(1/2)*arccosh(x*a^-1)^(1/2))+3//128*2^(1/2)*pi^(1/2)*a^3*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erfi(2^(1/2)*arccosh(x*a^-1)^(1/2)))
@test integrate((a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^3//2, x) == :((1/2)*x*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^3//2+-1//5*a*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^5//2+3//16*a*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2)+-3//8*a^-1*x^2*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*arccosh(x*a^-1)^(1/2)+3//128*a*2^(1/2)*pi^(1/2)*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erf(2^(1/2)*arccosh(x*a^-1)^(1/2))+3//128*a*2^(1/2)*pi^(1/2)*(1+x*a^-1)^-1//2*(-1+x*a^-1)^-1//2*(a^2+-1*x^2)^(1/2)*erfi(2^(1/2)*arccosh(x*a^-1)^(1/2)))
@test integrate((a^2+-1*x^2)^-1//2*arccosh(x*a^-1)^3//2, x) == :(2//5*a*(1+x*a^-1)^(1/2)*(-1+x*a^-1)^(1/2)*(a^2+-1*x^2)^-1//2*arccosh(x*a^-1)^5//2)
@test integrate(x*(1+-1*x^2)^-1//2*arccosh(x)^-1//2, x) == :((1/2)*pi^(1/2)*(1+x)^(1/2)*(1+-1*x^2)^-1//2*(-1+x)^(1/2)*erf(arccosh(x)^(1/2))+(1/2)*pi^(1/2)*(1+x)^(1/2)*(1+-1*x^2)^-1//2*(-1+x)^(1/2)*erfi(arccosh(x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^5//2*arccosh(a*x)^-1//2, x) == :(-5//8*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-3//64*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+-3//64*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+1//384*6^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(6^(1/2)*arccosh(a*x)^(1/2))+1//384*6^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(6^(1/2)*arccosh(a*x)^(1/2))+15//128*2^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+15//128*2^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^-1//2, x) == :(-3//4*c*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+-1//32*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+-1//32*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+1//8*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+1//8*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-1//2, x) == :(-1*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^(1/2)+1//8*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+1//8*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^-1//2, x) == :(2*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^(1/2))
@test integrate((c+-1*c*a^2*x^2)^5//2*arccosh(a*x)^-3//2, x) == :(2*a^-1*c^2*(1+a*x)^5//2*(1+-1*a*x)^3*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-1//2+-3//8*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+3//8*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+-15//32*2^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+-1//32*6^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(6^(1/2)*arccosh(a*x)^(1/2))+1//32*6^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(6^(1/2)*arccosh(a*x)^(1/2))+15//32*2^(1/2)*pi^(1/2)*a^-1*c^2*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^-3//2, x) == :(2*c*a^-1*(1+a*x)^3//2*(1+-1*a*x)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-1//2+-1//4*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+1//4*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+(1/2)*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2))+-1//2*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-3//2, x) == :(a^-1*(1+a*x)^(1/2)*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-1//2*(2+-2*a*x)+(1/2)*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2))+-1//2*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^-3//2, x) == :(-2*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^-1//2)
@test integrate((c+-1*c*a^2*x^2)^3//2*arccosh(a*x)^-5//2, x) == :(-16//3*c*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-1//2*(1+-1*a^2*x^2)+-2//3*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2*arccosh(a*x)^(1/2))+-2//3*c*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2*arccosh(a*x)^(1/2))+2//3*c*a^-1*(1+a*x)^3//2*(1+-1*a*x)^2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-3//2+2//3*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+2//3*c*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-5//2, x) == :(-8//3*x*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-1//2+1//3*a^-1*(1+a*x)^(1/2)*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*arccosh(a*x)^-3//2*(2+-2*a*x)+2//3*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erf(2^(1/2)*arccosh(a*x)^(1/2))+2//3*2^(1/2)*pi^(1/2)*a^-1*(1+a*x)^-1//2*(-1+a*x)^-1//2*(c+-1*c*a^2*x^2)^(1/2)*erfi(2^(1/2)*arccosh(a*x)^(1/2)))
@test integrate((c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^-5//2, x) == :(-2//3*a^-1*(1+a*x)^(1/2)*(-1+a*x)^(1/2)*(c+-1*c*a^2*x^2)^-1//2*arccosh(a*x)^-3//2)

max_stars_repo_path: test/7 Inverse hyperbolic functions/7.2 Inverse hyperbolic cosine/7.2.4a (f x)^m (d-c^2 d x^2)^p (a+b arccosh(c x))^n.jl