# Maple integration test file: "6 Hyperbolic functions\6.1 Hyperbolic sine\6.1.1 (c+d x)^m (a+b sinh)^n.txt"

lst:=[

# Integrands of the form (e+f x)^m (b Sinh[c+d x])^p

# Integrands of the form (c+d x)^m (b Sinh[e+f x])^n

# Integrands of the form (c+d x)^m Sinh[e+f x]^n

# n>0
[(c+d*x)^4*sinh(a+b*x),x,5,24*d^4*cosh(a+b*x)/b^5+12*d^2*(c+d*x)^2*cosh(a+b*x)/b^3+(c+d*x)^4*cosh(a+b*x)/b-24*d^3*(c+d*x)*sinh(a+b*x)/b^4-4*d*(c+d*x)^3*sinh(a+b*x)/b^2],
[(c+d*x)^3*sinh(a+b*x),x,4,6*d^2*(c+d*x)*cosh(a+b*x)/b^3+(c+d*x)^3*cosh(a+b*x)/b-6*d^3*sinh(a+b*x)/b^4-3*d*(c+d*x)^2*sinh(a+b*x)/b^2],
[(c+d*x)^2*sinh(a+b*x),x,3,2*d^2*cosh(a+b*x)/b^3+(c+d*x)^2*cosh(a+b*x)/b-2*d*(c+d*x)*sinh(a+b*x)/b^2],
[(c+d*x)*sinh(a+b*x),x,2,(c+d*x)*cosh(a+b*x)/b-d*sinh(a+b*x)/b^2],
[sinh(a+b*x)/(c+d*x),x,3,cosh(a-b*c/d)*Shi(b*c/d+b*x)/d+Chi(b*c/d+b*x)*sinh(a-b*c/d)/d],
[sinh(a+b*x)/(c+d*x)^2,x,4,b*Chi(b*c/d+b*x)*cosh(a-b*c/d)/d^2+b*Shi(b*c/d+b*x)*sinh(a-b*c/d)/d^2-sinh(a+b*x)/(d*(c+d*x))],
[sinh(a+b*x)/(c+d*x)^3,x,5,-1/2*b*cosh(a+b*x)/(d^2*(c+d*x))+1/2*b^2*cosh(a-b*c/d)*Shi(b*c/d+b*x)/d^3+1/2*b^2*Chi(b*c/d+b*x)*sinh(a-b*c/d)/d^3-1/2*sinh(a+b*x)/(d*(c+d*x)^2)],
[(c+d*x)^4*sinh(a+b*x)^2,x,6,-3/4*d^4*x/b^4-1/2*d*(c+d*x)^3/b^2-1/10*(c+d*x)^5/d+3/4*d^4*cosh(a+b*x)*sinh(a+b*x)/b^5+3/2*d^2*(c+d*x)^2*cosh(a+b*x)*sinh(a+b*x)/b^3+1/2*(c+d*x)^4*cosh(a+b*x)*sinh(a+b*x)/b-3/2*d^3*(c+d*x)*sinh(a+b*x)^2/b^4-d*(c+d*x)^3*sinh(a+b*x)^2/b^2],
[(c+d*x)^3*sinh(a+b*x)^2,x,4,-3/4*c*d^2*x/b^2-3/8*d^3*x^2/b^2-1/8*(c+d*x)^4/d+3/4*d^2*(c+d*x)*cosh(a+b*x)*sinh(a+b*x)/b^3+1/2*(c+d*x)^3*cosh(a+b*x)*sinh(a+b*x)/b-3/8*d^3*sinh(a+b*x)^2/b^4-3/4*d*(c+d*x)^2*sinh(a+b*x)^2/b^2],
[(c+d*x)^2*sinh(a+b*x)^2,x,4,-1/4*d^2*x/b^2-1/6*(c+d*x)^3/d+1/4*d^2*cosh(a+b*x)*sinh(a+b*x)/b^3+1/2*(c+d*x)^2*cosh(a+b*x)*sinh(a+b*x)/b-1/2*d*(c+d*x)*sinh(a+b*x)^2/b^2],
[(c+d*x)*sinh(a+b*x)^2,x,2,-1/2*c*x-1/4*d*x^2+1/2*(c+d*x)*cosh(a+b*x)*sinh(a+b*x)/b-1/4*d*sinh(a+b*x)^2/b^2],
[sinh(a+b*x)^2/(c+d*x),x,5,1/2*Chi(2*b*c/d+2*b*x)*cosh(2*a-2*b*c/d)/d-1/2*log(c+d*x)/d+1/2*Shi(2*b*c/d+2*b*x)*sinh(2*a-2*b*c/d)/d],
[sinh(a+b*x)^2/(c+d*x)^2,x,5,b*cosh(2*a-2*b*c/d)*Shi(2*b*c/d+2*b*x)/d^2+b*Chi(2*b*c/d+2*b*x)*sinh(2*a-2*b*c/d)/d^2-sinh(a+b*x)^2/(d*(c+d*x))],
[sinh(a+b*x)^2/(c+d*x)^3,x,7,b^2*Chi(2*b*c/d+2*b*x)*cosh(2*a-2*b*c/d)/d^3+b^2*Shi(2*b*c/d+2*b*x)*sinh(2*a-2*b*c/d)/d^3-b*cosh(a+b*x)*sinh(a+b*x)/(d^2*(c+d*x))-1/2*sinh(a+b*x)^2/(d*(c+d*x)^2)],
[sinh(a+b*x)^2/(c+d*x)^4,x,7,-1/3*b^2/(d^3*(c+d*x))+2/3*b^3*cosh(2*a-2*b*c/d)*Shi(2*b*c/d+2*b*x)/d^4+2/3*b^3*Chi(2*b*c/d+2*b*x)*sinh(2*a-2*b*c/d)/d^4-1/3*b*cosh(a+b*x)*sinh(a+b*x)/(d^2*(c+d*x)^2)-1/3*sinh(a+b*x)^2/(d*(c+d*x)^3)-2/3*b^2*sinh(a+b*x)^2/(d^3*(c+d*x))],
[(c+d*x)^4*sinh(a+b*x)^3,x,12,-488/27*d^4*cosh(a+b*x)/b^5-80/9*d^2*(c+d*x)^2*cosh(a+b*x)/b^3-2/3*(c+d*x)^4*cosh(a+b*x)/b+8/81*d^4*cosh(a+b*x)^3/b^5+160/9*d^3*(c+d*x)*sinh(a+b*x)/b^4+8/3*d*(c+d*x)^3*sinh(a+b*x)/b^2+4/9*d^2*(c+d*x)^2*cosh(a+b*x)*sinh(a+b*x)^2/b^3+1/3*(c+d*x)^4*cosh(a+b*x)*sinh(a+b*x)^2/b-8/27*d^3*(c+d*x)*sinh(a+b*x)^3/b^4-4/9*d*(c+d*x)^3*sinh(a+b*x)^3/b^2],
[(c+d*x)^3*sinh(a+b*x)^3,x,8,-40/9*d^2*(c+d*x)*cosh(a+b*x)/b^3-2/3*(c+d*x)^3*cosh(a+b*x)/b+40/9*d^3*sinh(a+b*x)/b^4+2*d*(c+d*x)^2*sinh(a+b*x)/b^2+2/9*d^2*(c+d*x)*cosh(a+b*x)*sinh(a+b*x)^2/b^3+1/3*(c+d*x)^3*cosh(a+b*x)*sinh(a+b*x)^2/b-2/27*d^3*sinh(a+b*x)^3/b^4-1/3*d*(c+d*x)^2*sinh(a+b*x)^3/b^2],
[(c+d*x)^2*sinh(a+b*x)^3,x,6,-14/9*d^2*cosh(a+b*x)/b^3-2/3*(c+d*x)^2*cosh(a+b*x)/b+2/27*d^2*cosh(a+b*x)^3/b^3+4/3*d*(c+d*x)*sinh(a+b*x)/b^2+1/3*(c+d*x)^2*cosh(a+b*x)*sinh(a+b*x)^2/b-2/9*d*(c+d*x)*sinh(a+b*x)^3/b^2],
[(c+d*x)*sinh(a+b*x)^3,x,3,-2/3*(c+d*x)*cosh(a+b*x)/b+2/3*d*sinh(a+b*x)/b^2+1/3*(c+d*x)*cosh(a+b*x)*sinh(a+b*x)^2/b-1/9*d*sinh(a+b*x)^3/b^2],
[sinh(a+b*x)^3/(c+d*x),x,8,-3/4*cosh(a-b*c/d)*Shi(b*c/d+b*x)/d+1/4*cosh(3*a-3*b*c/d)*Shi(3*b*c/d+3*b*x)/d+1/4*Chi(3*b*c/d+3*b*x)*sinh(3*a-3*b*c/d)/d-3/4*Chi(b*c/d+b*x)*sinh(a-b*c/d)/d],
[sinh(a+b*x)^3/(c+d*x)^2,x,8,3/4*b*Chi(3*b*c/d+3*b*x)*cosh(3*a-3*b*c/d)/d^2-3/4*b*Chi(b*c/d+b*x)*cosh(a-b*c/d)/d^2+3/4*b*Shi(3*b*c/d+3*b*x)*sinh(3*a-3*b*c/d)/d^2-3/4*b*Shi(b*c/d+b*x)*sinh(a-b*c/d)/d^2-sinh(a+b*x)^3/(d*(c+d*x))],
[sinh(a+b*x)^3/(c+d*x)^3,x,12,-3/8*b^2*cosh(a-b*c/d)*Shi(b*c/d+b*x)/d^3+9/8*b^2*cosh(3*a-3*b*c/d)*Shi(3*b*c/d+3*b*x)/d^3+9/8*b^2*Chi(3*b*c/d+3*b*x)*sinh(3*a-3*b*c/d)/d^3-3/8*b^2*Chi(b*c/d+b*x)*sinh(a-b*c/d)/d^3-3/2*b*cosh(a+b*x)*sinh(a+b*x)^2/(d^2*(c+d*x))-1/2*sinh(a+b*x)^3/(d*(c+d*x)^2)],

# n<0
[(c+d*x)^3*csch(a+b*x),x,9,-2*(c+d*x)^3*arctanh(exp(a+b*x))/b-3*d*(c+d*x)^2*polylog(2,-exp(a+b*x))/b^2+3*d*(c+d*x)^2*polylog(2,exp(a+b*x))/b^2+6*d^2*(c+d*x)*polylog(3,-exp(a+b*x))/b^3-6*d^2*(c+d*x)*polylog(3,exp(a+b*x))/b^3-6*d^3*polylog(4,-exp(a+b*x))/b^4+6*d^3*polylog(4,exp(a+b*x))/b^4],
[(c+d*x)^2*csch(a+b*x),x,7,-2*(c+d*x)^2*arctanh(exp(a+b*x))/b-2*d*(c+d*x)*polylog(2,-exp(a+b*x))/b^2+2*d*(c+d*x)*polylog(2,exp(a+b*x))/b^2+2*d^2*polylog(3,-exp(a+b*x))/b^3-2*d^2*polylog(3,exp(a+b*x))/b^3],
[(c+d*x)*csch(a+b*x),x,5,-2*(c+d*x)*arctanh(exp(a+b*x))/b-d*polylog(2,-exp(a+b*x))/b^2+d*polylog(2,exp(a+b*x))/b^2],
[csch(a+b*x)/(c+d*x),x,0,Unintegrable(csch(a+b*x)/(c+d*x),x)],
[csch(a+b*x)/(c+d*x)^2,x,0,Unintegrable(csch(a+b*x)/(c+d*x)^2,x)],
[(c+d*x)^3*csch(a+b*x)^2,x,6,-(c+d*x)^3/b-(c+d*x)^3*coth(a+b*x)/b+3*d*(c+d*x)^2*log(1-exp(2*(a+b*x)))/b^2+3*d^2*(c+d*x)*polylog(2,exp(2*(a+b*x)))/b^3-3/2*d^3*polylog(3,exp(2*(a+b*x)))/b^4],
[(c+d*x)^2*csch(a+b*x)^2,x,5,-(c+d*x)^2/b-(c+d*x)^2*coth(a+b*x)/b+2*d*(c+d*x)*log(1-exp(2*(a+b*x)))/b^2+d^2*polylog(2,exp(2*(a+b*x)))/b^3],
[(c+d*x)*csch(a+b*x)^2,x,2,-(c+d*x)*coth(a+b*x)/b+d*log(sinh(a+b*x))/b^2],
[csch(a+b*x)^2/(c+d*x),x,0,Unintegrable(csch(a+b*x)^2/(c+d*x),x)],
[csch(a+b*x)^2/(c+d*x)^2,x,0,Unintegrable(csch(a+b*x)^2/(c+d*x)^2,x)],
[(c+d*x)^3*csch(a+b*x)^3,x,15,-6*d^2*(c+d*x)*arctanh(exp(a+b*x))/b^3+(c+d*x)^3*arctanh(exp(a+b*x))/b-3/2*d*(c+d*x)^2*csch(a+b*x)/b^2-1/2*(c+d*x)^3*coth(a+b*x)*csch(a+b*x)/b-3*d^3*polylog(2,-exp(a+b*x))/b^4+3/2*d*(c+d*x)^2*polylog(2,-exp(a+b*x))/b^2+3*d^3*polylog(2,exp(a+b*x))/b^4-3/2*d*(c+d*x)^2*polylog(2,exp(a+b*x))/b^2-3*d^2*(c+d*x)*polylog(3,-exp(a+b*x))/b^3+3*d^2*(c+d*x)*polylog(3,exp(a+b*x))/b^3+3*d^3*polylog(4,-exp(a+b*x))/b^4-3*d^3*polylog(4,exp(a+b*x))/b^4],
[(c+d*x)^2*csch(a+b*x)^3,x,9,(c+d*x)^2*arctanh(exp(a+b*x))/b-d^2*arctanh(cosh(a+b*x))/b^3-d*(c+d*x)*csch(a+b*x)/b^2-1/2*(c+d*x)^2*coth(a+b*x)*csch(a+b*x)/b+d*(c+d*x)*polylog(2,-exp(a+b*x))/b^2-d*(c+d*x)*polylog(2,exp(a+b*x))/b^2-d^2*polylog(3,-exp(a+b*x))/b^3+d^2*polylog(3,exp(a+b*x))/b^3],
[(c+d*x)*csch(a+b*x)^3,x,6,(c+d*x)*arctanh(exp(a+b*x))/b-1/2*d*csch(a+b*x)/b^2-1/2*(c+d*x)*coth(a+b*x)*csch(a+b*x)/b+1/2*d*polylog(2,-exp(a+b*x))/b^2-1/2*d*polylog(2,exp(a+b*x))/b^2],
[csch(a+b*x)^3/(c+d*x),x,0,Unintegrable(csch(a+b*x)^3/(c+d*x),x)],
[csch(a+b*x)^3/(c+d*x)^2,x,0,Unintegrable(csch(a+b*x)^3/(c+d*x)^2,x)],

# Integrands of the form (c+d x)^(m/2) Sinh[e+f x]^n

# n>0
[(c+d*x)^(5/2)*sinh(a+b*x),x,8,(c+d*x)^(5/2)*cosh(a+b*x)/b-5/2*d*(c+d*x)^(3/2)*sinh(a+b*x)/b^2-15/16*d^(5/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(7/2)-15/16*d^(5/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(7/2)+15/4*d^2*cosh(a+b*x)*sqrt(c+d*x)/b^3],
[(c+d*x)^(3/2)*sinh(a+b*x),x,7,(c+d*x)^(3/2)*cosh(a+b*x)/b-3/8*d^(3/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(5/2)+3/8*d^(3/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(5/2)-3/2*d*sinh(a+b*x)*sqrt(c+d*x)/b^2],
[sinh(a+b*x)*sqrt(c+d*x),x,6,-1/4*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(Pi)/b^(3/2)-1/4*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(Pi)/b^(3/2)+cosh(a+b*x)*sqrt(c+d*x)/b],
[sinh(a+b*x)/sqrt(c+d*x),x,5,-1/2*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/(sqrt(b)*sqrt(d))+1/2*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/(sqrt(b)*sqrt(d))],
[sinh(a+b*x)/(c+d*x)^(3/2),x,6,exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(Pi)/d^(3/2)+exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(Pi)/d^(3/2)-2*sinh(a+b*x)/(d*sqrt(c+d*x))],
[sinh(a+b*x)/(c+d*x)^(5/2),x,7,-2/3*sinh(a+b*x)/(d*(c+d*x)^(3/2))-2/3*b^(3/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(5/2)+2/3*b^(3/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(5/2)-4/3*b*cosh(a+b*x)/(d^2*sqrt(c+d*x))],
[sinh(a+b*x)/(c+d*x)^(7/2),x,8,-4/15*b*cosh(a+b*x)/(d^2*(c+d*x)^(3/2))-2/5*sinh(a+b*x)/(d*(c+d*x)^(5/2))+4/15*b^(5/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(7/2)+4/15*b^(5/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(7/2)-8/15*b^2*sinh(a+b*x)/(d^3*sqrt(c+d*x))],
[(c+d*x)^(5/2)*sinh(a+b*x)^2,x,10,-5/16*d*(c+d*x)^(3/2)/b^2-1/7*(c+d*x)^(7/2)/d+1/2*(c+d*x)^(5/2)*cosh(a+b*x)*sinh(a+b*x)/b-5/8*d*(c+d*x)^(3/2)*sinh(a+b*x)^2/b^2+15/256*d^(5/2)*exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/2*Pi)/b^(7/2)-15/256*d^(5/2)*exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/2*Pi)/b^(7/2)+15/64*d^2*sinh(2*a+2*b*x)*sqrt(c+d*x)/b^3],
[(c+d*x)^(3/2)*sinh(a+b*x)^2,x,9,-1/5*(c+d*x)^(5/2)/d+1/2*(c+d*x)^(3/2)*cosh(a+b*x)*sinh(a+b*x)/b+3/64*d^(3/2)*exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/2*Pi)/b^(5/2)+3/64*d^(3/2)*exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/2*Pi)/b^(5/2)-3/16*d*sqrt(c+d*x)/b^2-3/8*d*sinh(a+b*x)^2*sqrt(c+d*x)/b^2],
[sinh(a+b*x)^2*sqrt(c+d*x),x,8,-1/3*(c+d*x)^(3/2)/d+1/16*exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(1/2*Pi)/b^(3/2)-1/16*exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(1/2*Pi)/b^(3/2)+1/4*sinh(2*a+2*b*x)*sqrt(c+d*x)/b],
[sinh(a+b*x)^2/sqrt(c+d*x),x,7,1/4*exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/2*Pi)/(sqrt(b)*sqrt(d))+1/4*exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/2*Pi)/(sqrt(b)*sqrt(d))-sqrt(c+d*x)/d],
[sinh(a+b*x)^2/(c+d*x)^(3/2),x,7,-exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(1/2*Pi)/d^(3/2)+exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(1/2*Pi)/d^(3/2)-2*sinh(a+b*x)^2/(d*sqrt(c+d*x))],
[sinh(a+b*x)^2/(c+d*x)^(5/2),x,9,-2/3*sinh(a+b*x)^2/(d*(c+d*x)^(3/2))+2/3*b^(3/2)*exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(2*Pi)/d^(5/2)+2/3*b^(3/2)*exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(2*Pi)/d^(5/2)-8/3*b*cosh(a+b*x)*sinh(a+b*x)/(d^2*sqrt(c+d*x))],
[sinh(a+b*x)^2/(c+d*x)^(7/2),x,9,-8/15*b*cosh(a+b*x)*sinh(a+b*x)/(d^2*(c+d*x)^(3/2))-2/5*sinh(a+b*x)^2/(d*(c+d*x)^(5/2))-8/15*b^(5/2)*exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(2*Pi)/d^(7/2)+8/15*b^(5/2)*exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(2*Pi)/d^(7/2)-16/15*b^2/(d^3*sqrt(c+d*x))-32/15*b^2*sinh(a+b*x)^2/(d^3*sqrt(c+d*x))],
[sinh(a+b*x)^2/(c+d*x)^(9/2),x,11,-16/105*b^2/(d^3*(c+d*x)^(3/2))-8/35*b*cosh(a+b*x)*sinh(a+b*x)/(d^2*(c+d*x)^(5/2))-2/7*sinh(a+b*x)^2/(d*(c+d*x)^(7/2))-32/105*b^2*sinh(a+b*x)^2/(d^3*(c+d*x)^(3/2))+32/105*b^(7/2)*exp(-2*a+2*b*c/d)*erf(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(2*Pi)/d^(9/2)+32/105*b^(7/2)*exp(2*a-2*b*c/d)*erfi(sqrt(2)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(2*Pi)/d^(9/2)-128/105*b^3*cosh(a+b*x)*sinh(a+b*x)/(d^4*sqrt(c+d*x))],
[(c+d*x)^(5/2)*sinh(a+b*x)^3,x,23,-2/3*(c+d*x)^(5/2)*cosh(a+b*x)/b+5/3*d*(c+d*x)^(3/2)*sinh(a+b*x)/b^2+1/3*(c+d*x)^(5/2)*cosh(a+b*x)*sinh(a+b*x)^2/b-5/18*d*(c+d*x)^(3/2)*sinh(a+b*x)^3/b^2-5/576*d^(5/2)*exp(-3*a+3*b*c/d)*erf(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/3*Pi)/b^(7/2)-5/576*d^(5/2)*exp(3*a-3*b*c/d)*erfi(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/3*Pi)/b^(7/2)+45/64*d^(5/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(7/2)+45/64*d^(5/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(7/2)-45/16*d^2*cosh(a+b*x)*sqrt(c+d*x)/b^3+5/144*d^2*cosh(3*a+3*b*x)*sqrt(c+d*x)/b^3],
[(c+d*x)^(3/2)*sinh(a+b*x)^3,x,20,-2/3*(c+d*x)^(3/2)*cosh(a+b*x)/b+1/3*(c+d*x)^(3/2)*cosh(a+b*x)*sinh(a+b*x)^2/b-1/96*d^(3/2)*exp(-3*a+3*b*c/d)*erf(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/3*Pi)/b^(5/2)+1/96*d^(3/2)*exp(3*a-3*b*c/d)*erfi(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/3*Pi)/b^(5/2)+9/32*d^(3/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(5/2)-9/32*d^(3/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/b^(5/2)+d*sinh(a+b*x)*sqrt(c+d*x)/b^2-1/6*d*sinh(a+b*x)^3*sqrt(c+d*x)/b^2],
[sinh(a+b*x)^3*sqrt(c+d*x),x,14,-1/48*exp(-3*a+3*b*c/d)*erf(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(1/3*Pi)/b^(3/2)-1/48*exp(3*a-3*b*c/d)*erfi(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(1/3*Pi)/b^(3/2)+3/16*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(Pi)/b^(3/2)+3/16*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(d)*sqrt(Pi)/b^(3/2)-3/4*cosh(a+b*x)*sqrt(c+d*x)/b+1/12*cosh(3*a+3*b*x)*sqrt(c+d*x)/b],
[sinh(a+b*x)^3/sqrt(c+d*x),x,12,-1/8*exp(-3*a+3*b*c/d)*erf(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/3*Pi)/(sqrt(b)*sqrt(d))+1/8*exp(3*a-3*b*c/d)*erfi(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(1/3*Pi)/(sqrt(b)*sqrt(d))+3/8*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/(sqrt(b)*sqrt(d))-3/8*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/(sqrt(b)*sqrt(d))],
[sinh(a+b*x)^3/(c+d*x)^(3/2),x,12,-3/4*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(Pi)/d^(3/2)-3/4*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(Pi)/d^(3/2)+1/4*exp(-3*a+3*b*c/d)*erf(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(3*Pi)/d^(3/2)+1/4*exp(3*a-3*b*c/d)*erfi(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(b)*sqrt(3*Pi)/d^(3/2)-2*sinh(a+b*x)^3/(d*sqrt(c+d*x))],
[sinh(a+b*x)^3/(c+d*x)^(5/2),x,18,-2/3*sinh(a+b*x)^3/(d*(c+d*x)^(3/2))+1/2*b^(3/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(5/2)-1/2*b^(3/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(5/2)-1/2*b^(3/2)*exp(-3*a+3*b*c/d)*erf(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(3*Pi)/d^(5/2)+1/2*b^(3/2)*exp(3*a-3*b*c/d)*erfi(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(3*Pi)/d^(5/2)-4*b*cosh(a+b*x)*sinh(a+b*x)^2/(d^2*sqrt(c+d*x))],
[sinh(a+b*x)^3/(c+d*x)^(7/2),x,19,-4/5*b*cosh(a+b*x)*sinh(a+b*x)^2/(d^2*(c+d*x)^(3/2))-2/5*sinh(a+b*x)^3/(d*(c+d*x)^(5/2))-1/5*b^(5/2)*exp(-a+b*c/d)*erf(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(7/2)-1/5*b^(5/2)*exp(a-b*c/d)*erfi(sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(Pi)/d^(7/2)+3/5*b^(5/2)*exp(-3*a+3*b*c/d)*erf(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(3*Pi)/d^(7/2)+3/5*b^(5/2)*exp(3*a-3*b*c/d)*erfi(sqrt(3)*sqrt(b)*sqrt(c+d*x)/sqrt(d))*sqrt(3*Pi)/d^(7/2)-16/5*b^2*sinh(a+b*x)/(d^3*sqrt(c+d*x))-24/5*b^2*sinh(a+b*x)^3/(d^3*sqrt(c+d*x))],
[(d*x)^(3/2)*sinh(f*x),x,7,(d*x)^(3/2)*cosh(f*x)/f-3/8*d^(3/2)*erf(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(Pi)/f^(5/2)+3/8*d^(3/2)*erfi(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(Pi)/f^(5/2)-3/2*d*sinh(f*x)*sqrt(d*x)/f^2],
[sinh(f*x)*sqrt(d*x),x,6,-1/4*erf(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(d)*sqrt(Pi)/f^(3/2)-1/4*erfi(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(d)*sqrt(Pi)/f^(3/2)+cosh(f*x)*sqrt(d*x)/f],
[sinh(f*x)/sqrt(d*x),x,5,-1/2*erf(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(Pi)/(sqrt(d)*sqrt(f))+1/2*erfi(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(Pi)/(sqrt(d)*sqrt(f))],
[sinh(f*x)/(d*x)^(3/2),x,6,erf(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(f)*sqrt(Pi)/d^(3/2)+erfi(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(f)*sqrt(Pi)/d^(3/2)-2*sinh(f*x)/(d*sqrt(d*x))],
[sinh(f*x)/(d*x)^(5/2),x,7,-2/3*sinh(f*x)/(d*(d*x)^(3/2))-2/3*f^(3/2)*erf(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(Pi)/d^(5/2)+2/3*f^(3/2)*erfi(sqrt(f)*sqrt(d*x)/sqrt(d))*sqrt(Pi)/d^(5/2)-4/3*f*cosh(f*x)/(d^2*sqrt(d*x))],

# n<0
[csch(a+b*x)*sqrt(c+d*x),x,0,Unintegrable(csch(a+b*x)*sqrt(c+d*x),x)],
[csch(a+b*x)/sqrt(c+d*x),x,0,Unintegrable(csch(a+b*x)/sqrt(c+d*x),x)],

# Integrands of the form (c+d x)^m (b Sinh[e+f x])^(n/2)

# n>0
[sinh(x)^(3/2)/x^3,x,1,-1/2*sinh(x)^(3/2)/x^2-3/4*cosh(x)*sqrt(sinh(x))/x+9/8*Unintegrable(sinh(x)^(3/2)/x,x)+3/8*Unintegrable(1/(x*sqrt(sinh(x))),x)],

# n<0
[x/sinh(x)^(3/2)-x*sqrt(sinh(x)),x,2,-2*x*cosh(x)/sqrt(sinh(x))+4*sqrt(sinh(x))],
[x/sinh(x)^(5/2)+1/3*x/sqrt(sinh(x)),x,2,-2/3*x*cosh(x)/sinh(x)^(3/2)+(-4/3)/sqrt(sinh(x))],
[x/sinh(x)^(7/2)+3/5*x*sqrt(sinh(x)),x,3,-2/5*x*cosh(x)/sinh(x)^(5/2)+(-4/15)/sinh(x)^(3/2)+6/5*x*cosh(x)/sqrt(sinh(x))-12/5*sqrt(sinh(x))],
[x^2/sinh(x)^(3/2)-x^2*sqrt(sinh(x)),x,4,-2*x^2*cosh(x)/sqrt(sinh(x))+8*x*sqrt(sinh(x))-16*I*sqrt(cos(1/4*Pi-1/2*I*x)^2)/cos(1/4*Pi-1/2*I*x)*EllipticE(sin(1/4*Pi-1/2*I*x),sqrt(2))*sqrt(sinh(x))/sqrt(I*sinh(x))],

# Integrands of the form (c+d x)^m (b Sinh[e+f x])^n with m symbolic
[(c+d*x)^m*(b*sinh(e+f*x))^n,x,0,Unintegrable((c+d*x)^m*(b*sinh(e+f*x))^n,x)],
[(c+d*x)^m*sinh(a+b*x)^3,x,8,1/8*3^(-1-m)*exp(3*a-3*b*c/d)*(c+d*x)^m*GAMMA(1+m,-3*b*(c+d*x)/d)/(b*(-b*(c+d*x)/d)^m)-3/8*exp(a-b*c/d)*(c+d*x)^m*GAMMA(1+m,-b*(c+d*x)/d)/(b*(-b*(c+d*x)/d)^m)-3/8*exp(-a+b*c/d)*(c+d*x)^m*GAMMA(1+m,b*(c+d*x)/d)/(b*(b*(c+d*x)/d)^m)+1/8*3^(-1-m)*exp(-3*a+3*b*c/d)*(c+d*x)^m*GAMMA(1+m,3*b*(c+d*x)/d)/(b*(b*(c+d*x)/d)^m)],
[(c+d*x)^m*sinh(a+b*x)^2,x,5,-1/2*(c+d*x)^(1+m)/(d*(1+m))+2^(-3-m)*exp(2*a-2*b*c/d)*(c+d*x)^m*GAMMA(1+m,-2*b*(c+d*x)/d)/(b*(-b*(c+d*x)/d)^m)-2^(-3-m)*exp(-2*a+2*b*c/d)*(c+d*x)^m*GAMMA(1+m,2*b*(c+d*x)/d)/(b*(b*(c+d*x)/d)^m)],
[(c+d*x)^m*sinh(a+b*x),x,3,1/2*exp(a-b*c/d)*(c+d*x)^m*GAMMA(1+m,-b*(c+d*x)/d)/(b*(-b*(c+d*x)/d)^m)+1/2*exp(-a+b*c/d)*(c+d*x)^m*GAMMA(1+m,b*(c+d*x)/d)/(b*(b*(c+d*x)/d)^m)],
[(c+d*x)^m*csch(a+b*x),x,0,Unintegrable((c+d*x)^m*csch(a+b*x),x)],
[(c+d*x)^m*csch(a+b*x)^2,x,0,Unintegrable((c+d*x)^m*csch(a+b*x)^2,x)],
[x^(3+m)*sinh(a+b*x),x,3,-1/2*exp(a)*x^m*GAMMA(4+m,-b*x)/(b^4*(-b*x)^m)+1/2*x^m*GAMMA(4+m,b*x)/(b^4*exp(a)*(b*x)^m)],
[x^(2+m)*sinh(a+b*x),x,3,1/2*exp(a)*x^m*GAMMA(3+m,-b*x)/(b^3*(-b*x)^m)+1/2*x^m*GAMMA(3+m,b*x)/(b^3*exp(a)*(b*x)^m)],
[x^(1+m)*sinh(a+b*x),x,3,-1/2*exp(a)*x^m*GAMMA(2+m,-b*x)/(b^2*(-b*x)^m)+1/2*x^m*GAMMA(2+m,b*x)/(b^2*exp(a)*(b*x)^m)],
[x^m*sinh(a+b*x),x,3,1/2*exp(a)*x^m*GAMMA(1+m,-b*x)/(b*(-b*x)^m)+1/2*x^m*GAMMA(1+m,b*x)/(b*exp(a)*(b*x)^m)],
[x^(-1+m)*sinh(a+b*x),x,3,-1/2*exp(a)*x^m*GAMMA(m,-b*x)/(-b*x)^m+1/2*x^m*GAMMA(m,b*x)/(exp(a)*(b*x)^m)],
[x^(-2+m)*sinh(a+b*x),x,3,1/2*b*exp(a)*x^m*GAMMA(-1+m,-b*x)/(-b*x)^m+1/2*b*x^m*GAMMA(-1+m,b*x)/(exp(a)*(b*x)^m)],
[x^(-3+m)*sinh(a+b*x),x,3,-1/2*b^2*exp(a)*x^m*GAMMA(-2+m,-b*x)/(-b*x)^m+1/2*b^2*x^m*GAMMA(-2+m,b*x)/(exp(a)*(b*x)^m)],
[x^(3+m)*sinh(a+b*x)^2,x,5,-1/2*x^(4+m)/(4+m)-2^(-6-m)*exp(2*a)*x^m*GAMMA(4+m,-2*b*x)/(b^4*(-b*x)^m)-2^(-6-m)*x^m*GAMMA(4+m,2*b*x)/(b^4*exp(2*a)*(b*x)^m)],
[x^(2+m)*sinh(a+b*x)^2,x,5,-1/2*x^(3+m)/(3+m)+2^(-5-m)*exp(2*a)*x^m*GAMMA(3+m,-2*b*x)/(b^3*(-b*x)^m)-2^(-5-m)*x^m*GAMMA(3+m,2*b*x)/(b^3*exp(2*a)*(b*x)^m)],
[x^(1+m)*sinh(a+b*x)^2,x,5,-1/2*x^(2+m)/(2+m)-2^(-4-m)*exp(2*a)*x^m*GAMMA(2+m,-2*b*x)/(b^2*(-b*x)^m)-2^(-4-m)*x^m*GAMMA(2+m,2*b*x)/(b^2*exp(2*a)*(b*x)^m)],
[x^m*sinh(a+b*x)^2,x,5,-1/2*x^(1+m)/(1+m)+2^(-3-m)*exp(2*a)*x^m*GAMMA(1+m,-2*b*x)/(b*(-b*x)^m)-2^(-3-m)*x^m*GAMMA(1+m,2*b*x)/(b*exp(2*a)*(b*x)^m)],
[x^(-1+m)*sinh(a+b*x)^2,x,5,-1/2*x^m/m-2^(-2-m)*exp(2*a)*x^m*GAMMA(m,-2*b*x)/(-b*x)^m-2^(-2-m)*x^m*GAMMA(m,2*b*x)/(exp(2*a)*(b*x)^m)],
[x^(-2+m)*sinh(a+b*x)^2,x,5,1/2*x^(-1+m)/(1-m)+2^(-1-m)*b*exp(2*a)*x^m*GAMMA(-1+m,-2*b*x)/(-b*x)^m-2^(-1-m)*b*x^m*GAMMA(-1+m,2*b*x)/(exp(2*a)*(b*x)^m)],
[x^(-3+m)*sinh(a+b*x)^2,x,5,1/2*x^(-2+m)/(2-m)-b^2*exp(2*a)*x^m*GAMMA(-2+m,-2*b*x)/(2^m*(-b*x)^m)-b^2*x^m*GAMMA(-2+m,2*b*x)/(2^m*exp(2*a)*(b*x)^m)],

# Integrands of the form (c+d x)^m (b Csch[e+f x])^n

# Integrands of the form (c+d x)^m (b Csch[e+f x])^(n/2)
[x/csch(x)^(3/2)+1/3*x*sqrt(csch(x)),x,4,(-4/9)/csch(x)^(3/2)+2/3*x*cosh(x)/sqrt(csch(x))],
[x/csch(x)^(5/2)+3/5*x/sqrt(csch(x)),x,4,(-4/25)/csch(x)^(5/2)+2/5*x*cosh(x)/csch(x)^(3/2)],
[x/csch(x)^(7/2)-5/21*x*sqrt(csch(x)),x,5,(-4/49)/csch(x)^(7/2)+2/7*x*cosh(x)/csch(x)^(5/2)+20/63/csch(x)^(3/2)-10/21*x*cosh(x)/sqrt(csch(x))],
[x^2/csch(x)^(3/2)+1/3*x^2*sqrt(csch(x)),x,7,-8/9*x/csch(x)^(3/2)+16/27*cosh(x)/sqrt(csch(x))+2/3*x^2*cosh(x)/sqrt(csch(x))-16/27*I*sqrt(cos(1/4*Pi-1/2*I*x)^2)/cos(1/4*Pi-1/2*I*x)*EllipticF(sin(1/4*Pi-1/2*I*x),sqrt(2))*sqrt(csch(x))*sqrt(I*sinh(x))],

# Integrands of the form (e+f x)^m (a+b Sinh[c+d x])^p

# Integrands of the form (c+d x)^m (a+b Sinh[e+f x])^n with a^2+b^2=0

# Integrands of the form (c+d x)^m (a+I a Sinh[e+f x])^n

# n>0
[(c+d*x)^3*(a+I*a*sinh(e+f*x)),x,6,1/4*a*(c+d*x)^4/d+6*I*a*d^2*(c+d*x)*cosh(e+f*x)/f^3+I*a*(c+d*x)^3*cosh(e+f*x)/f-6*I*a*d^3*sinh(e+f*x)/f^4-3*I*a*d*(c+d*x)^2*sinh(e+f*x)/f^2],
[(c+d*x)^2*(a+I*a*sinh(e+f*x)),x,5,1/3*a*(c+d*x)^3/d+2*I*a*d^2*cosh(e+f*x)/f^3+I*a*(c+d*x)^2*cosh(e+f*x)/f-2*I*a*d*(c+d*x)*sinh(e+f*x)/f^2],
[(c+d*x)*(a+I*a*sinh(e+f*x)),x,4,1/2*a*(c+d*x)^2/d+I*a*(c+d*x)*cosh(e+f*x)/f-I*a*d*sinh(e+f*x)/f^2],
[(a+I*a*sinh(e+f*x))/(c+d*x),x,5,a*log(c+d*x)/d+I*a*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d+I*a*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d],
[(a+I*a*sinh(e+f*x))/(c+d*x)^2,x,6,-a/(d*(c+d*x))+I*a*f*Chi(c*f/d+f*x)*cosh(e-c*f/d)/d^2+I*a*f*Shi(c*f/d+f*x)*sinh(e-c*f/d)/d^2-I*a*sinh(e+f*x)/(d*(c+d*x))],
[(a+I*a*sinh(e+f*x))/(c+d*x)^3,x,7,-1/2*a/(d*(c+d*x)^2)-1/2*I*a*f*cosh(e+f*x)/(d^2*(c+d*x))+1/2*I*a*f^2*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d^3+1/2*I*a*f^2*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d^3-1/2*I*a*sinh(e+f*x)/(d*(c+d*x)^2)],
[(c+d*x)^3*(a+I*a*sinh(e+f*x))^2,x,10,3/4*a^2*c*d^2*x/f^2+3/8*a^2*d^3*x^2/f^2+3/8*a^2*(c+d*x)^4/d+12*I*a^2*d^2*(c+d*x)*cosh(e+f*x)/f^3+2*I*a^2*(c+d*x)^3*cosh(e+f*x)/f-12*I*a^2*d^3*sinh(e+f*x)/f^4-6*I*a^2*d*(c+d*x)^2*sinh(e+f*x)/f^2-3/4*a^2*d^2*(c+d*x)*cosh(e+f*x)*sinh(e+f*x)/f^3-1/2*a^2*(c+d*x)^3*cosh(e+f*x)*sinh(e+f*x)/f+3/8*a^2*d^3*sinh(e+f*x)^2/f^4+3/4*a^2*d*(c+d*x)^2*sinh(e+f*x)^2/f^2],
[(c+d*x)^2*(a+I*a*sinh(e+f*x))^2,x,9,1/4*a^2*d^2*x/f^2+1/2*a^2*(c+d*x)^3/d+4*I*a^2*d^2*cosh(e+f*x)/f^3+2*I*a^2*(c+d*x)^2*cosh(e+f*x)/f-4*I*a^2*d*(c+d*x)*sinh(e+f*x)/f^2-1/4*a^2*d^2*cosh(e+f*x)*sinh(e+f*x)/f^3-1/2*a^2*(c+d*x)^2*cosh(e+f*x)*sinh(e+f*x)/f+1/2*a^2*d*(c+d*x)*sinh(e+f*x)^2/f^2],
[(c+d*x)*(a+I*a*sinh(e+f*x))^2,x,6,1/2*a^2*c*x+1/4*a^2*d*x^2+1/2*a^2*(c+d*x)^2/d+2*I*a^2*(c+d*x)*cosh(e+f*x)/f-2*I*a^2*d*sinh(e+f*x)/f^2-1/2*a^2*(c+d*x)*cosh(e+f*x)*sinh(e+f*x)/f+1/4*a^2*d*sinh(e+f*x)^2/f^2],
[(a+I*a*sinh(e+f*x))^2/(c+d*x),x,9,-1/2*a^2*Chi(2*c*f/d+2*f*x)*cosh(2*e-2*c*f/d)/d+3/2*a^2*log(c+d*x)/d+2*I*a^2*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d-1/2*a^2*Shi(2*c*f/d+2*f*x)*sinh(2*e-2*c*f/d)/d+2*I*a^2*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d],
[(a+I*a*sinh(e+f*x))^2/(c+d*x)^2,x,9,2*I*a^2*f*Chi(c*f/d+f*x)*cosh(e-c*f/d)/d^2-4*a^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^4/(d*(c+d*x))-a^2*f*cosh(2*e-2*c*f/d)*Shi(2*c*f/d+2*f*x)/d^2-a^2*f*Chi(2*c*f/d+2*f*x)*sinh(2*e-2*c*f/d)/d^2+2*I*a^2*f*Shi(c*f/d+f*x)*sinh(e-c*f/d)/d^2],
[(a+I*a*sinh(e+f*x))^2/(c+d*x)^3,x,15,-a^2*f^2*Chi(2*c*f/d+2*f*x)*cosh(2*e-2*c*f/d)/d^3-2*a^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^4/(d*(c+d*x)^2)+I*a^2*f^2*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d^3-a^2*f^2*Shi(2*c*f/d+2*f*x)*sinh(2*e-2*c*f/d)/d^3+I*a^2*f^2*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d^3-4*a^2*f*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^3*sinh(1/2*e+1/4*I*Pi+1/2*f*x)/(d^2*(c+d*x))],

# n<0
[(c+d*x)^3/(a+I*a*sinh(e+f*x)),x,7,(c+d*x)^3/(a*f)-6*d*(c+d*x)^2*log(1+I*exp(e+f*x))/(a*f^2)-12*d^2*(c+d*x)*polylog(2,-I*exp(e+f*x))/(a*f^3)+12*d^3*polylog(3,-I*exp(e+f*x))/(a*f^4)+(c+d*x)^3*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f)],
[(c+d*x)^2/(a+I*a*sinh(e+f*x)),x,6,(c+d*x)^2/(a*f)-4*d*(c+d*x)*log(1+I*exp(e+f*x))/(a*f^2)-4*d^2*polylog(2,-I*exp(e+f*x))/(a*f^3)+(c+d*x)^2*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f)],
[(c+d*x)/(a+I*a*sinh(e+f*x)),x,3,-2*d*log(cosh(1/2*e+1/4*I*Pi+1/2*f*x))/(a*f^2)+(c+d*x)*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f)],
[1/((c+d*x)*(a+I*a*sinh(e+f*x))),x,0,Unintegrable(1/((c+d*x)*(a+I*a*sinh(e+f*x))),x)],
[1/((c+d*x)^2*(a+I*a*sinh(e+f*x))),x,0,Unintegrable(1/((c+d*x)^2*(a+I*a*sinh(e+f*x))),x)],
[(c+d*x)^3/(a+I*a*sinh(e+f*x))^2,x,10,1/3*(c+d*x)^3/(a^2*f)-2*d*(c+d*x)^2*log(1+I*exp(e+f*x))/(a^2*f^2)+4*d^3*log(cosh(1/2*e+1/4*I*Pi+1/2*f*x))/(a^2*f^4)-4*d^2*(c+d*x)*polylog(2,-I*exp(e+f*x))/(a^2*f^3)+4*d^3*polylog(3,-I*exp(e+f*x))/(a^2*f^4)+1/2*d*(c+d*x)^2*sech(1/2*e+1/4*I*Pi+1/2*f*x)^2/(a^2*f^2)-2*d^2*(c+d*x)*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f^3)+1/3*(c+d*x)^3*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f)+1/6*(c+d*x)^3*sech(1/2*e+1/4*I*Pi+1/2*f*x)^2*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f)],
[(c+d*x)^2/(a+I*a*sinh(e+f*x))^2,x,9,1/3*(c+d*x)^2/(a^2*f)-4/3*d*(c+d*x)*log(1+I*exp(e+f*x))/(a^2*f^2)-4/3*d^2*polylog(2,-I*exp(e+f*x))/(a^2*f^3)+1/3*d*(c+d*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)^2/(a^2*f^2)-2/3*d^2*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f^3)+1/3*(c+d*x)^2*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f)+1/6*(c+d*x)^2*sech(1/2*e+1/4*I*Pi+1/2*f*x)^2*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f)],
[(c+d*x)/(a+I*a*sinh(e+f*x))^2,x,4,-2/3*d*log(cosh(1/2*e+1/4*I*Pi+1/2*f*x))/(a^2*f^2)+1/6*d*sech(1/2*e+1/4*I*Pi+1/2*f*x)^2/(a^2*f^2)+1/3*(c+d*x)*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f)+1/6*(c+d*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)^2*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a^2*f)],
[1/((c+d*x)*(a+I*a*sinh(e+f*x))^2),x,0,Unintegrable(1/((c+d*x)*(a+I*a*sinh(e+f*x))^2),x)],
[1/((c+d*x)^2*(a+I*a*sinh(e+f*x))^2),x,0,Unintegrable(1/((c+d*x)^2*(a+I*a*sinh(e+f*x))^2),x)],

# Integrands of the form (c+d x)^m (a+I a Sinh[e+f x])^(n/2)

# n>0
[x^4*sqrt(a+I*a*sinh(e+f*x)),x,6,-384*x*sqrt(a+I*a*sinh(e+f*x))/f^4-16*x^3*sqrt(a+I*a*sinh(e+f*x))/f^2+768*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f^5+96*x^2*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f^3+2*x^4*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f],
[x^3*sqrt(a+I*a*sinh(e+f*x)),x,5,-96*sqrt(a+I*a*sinh(e+f*x))/f^4-12*x^2*sqrt(a+I*a*sinh(e+f*x))/f^2+48*x*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f^3+2*x^3*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f],
[x^2*sqrt(a+I*a*sinh(e+f*x)),x,4,-8*x*sqrt(a+I*a*sinh(e+f*x))/f^2+16*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f^3+2*x^2*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f],
[x*sqrt(a+I*a*sinh(e+f*x)),x,3,-4*sqrt(a+I*a*sinh(e+f*x))/f^2+2*x*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f],
[sqrt(a+I*a*sinh(e+f*x))/x,x,4,I*cosh(1/4*(2*e-I*Pi))*sech(1/2*e+1/4*I*Pi+1/2*f*x)*Shi(1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))+I*Chi(1/2*f*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/4*(2*e-I*Pi))*sqrt(a+I*a*sinh(e+f*x))],
[sqrt(a+I*a*sinh(e+f*x))/x^2,x,5,-sqrt(a+I*a*sinh(e+f*x))/x+1/2*f*cosh(1/4*(2*e+I*Pi))*sech(1/2*e+1/4*I*Pi+1/2*f*x)*Shi(1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))+1/2*f*Chi(1/2*f*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/4*(2*e+I*Pi))*sqrt(a+I*a*sinh(e+f*x))],
[sqrt(a+I*a*sinh(e+f*x))/x^3,x,6,-1/2*sqrt(a+I*a*sinh(e+f*x))/x^2+1/8*I*f^2*cosh(1/4*(2*e-I*Pi))*sech(1/2*e+1/4*I*Pi+1/2*f*x)*Shi(1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))+1/8*I*f^2*Chi(1/2*f*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/4*(2*e-I*Pi))*sqrt(a+I*a*sinh(e+f*x))-1/4*f*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/x],
[x^3*(a+I*a*sinh(e+f*x))^(3/2),x,9,-1280/9*a*sqrt(a+I*a*sinh(e+f*x))/f^4-16*a*x^2*sqrt(a+I*a*sinh(e+f*x))/f^2-64/27*a*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^2*sqrt(a+I*a*sinh(e+f*x))/f^4-8/3*a*x^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^2*sqrt(a+I*a*sinh(e+f*x))/f^2+32/9*a*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/2*e+1/4*I*Pi+1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))/f^3+4/3*a*x^3*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/2*e+1/4*I*Pi+1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))/f+640/9*a*x*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f^3+8/3*a*x^3*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f],
[x^2*(a+I*a*sinh(e+f*x))^(3/2),x,7,-32/3*a*x*sqrt(a+I*a*sinh(e+f*x))/f^2-16/9*a*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^2*sqrt(a+I*a*sinh(e+f*x))/f^2+4/3*a*x^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/2*e+1/4*I*Pi+1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))/f+224/9*a*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f^3+8/3*a*x^2*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f+32/27*a*sinh(1/2*e+1/4*I*Pi+1/2*f*x)^2*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f^3],
[x*(a+I*a*sinh(e+f*x))^(3/2),x,4,-16/3*a*sqrt(a+I*a*sinh(e+f*x))/f^2-8/9*a*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^2*sqrt(a+I*a*sinh(e+f*x))/f^2+4/3*a*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/2*e+1/4*I*Pi+1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))/f+8/3*a*x*sqrt(a+I*a*sinh(e+f*x))*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/f],
[(a+I*a*sinh(e+f*x))^(3/2)/x,x,9,3/2*I*a*cosh(1/4*(2*e-I*Pi))*sech(1/2*e+1/4*I*Pi+1/2*f*x)*Shi(1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))+1/2*I*a*cosh(1/4*(6*e+I*Pi))*sech(1/2*e+1/4*I*Pi+1/2*f*x)*Shi(3/2*f*x)*sqrt(a+I*a*sinh(e+f*x))+3/2*I*a*Chi(1/2*f*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/4*(2*e-I*Pi))*sqrt(a+I*a*sinh(e+f*x))+1/2*I*a*Chi(3/2*f*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/4*(6*e+I*Pi))*sqrt(a+I*a*sinh(e+f*x))],
[(a+I*a*sinh(e+f*x))^(3/2)/x^2,x,9,-2*a*cosh(1/2*e+1/4*I*Pi+1/2*f*x)^2*sqrt(a+I*a*sinh(e+f*x))/x+3/4*a*f*cosh(1/4*(2*e+I*Pi))*sech(1/2*e+1/4*I*Pi+1/2*f*x)*Shi(1/2*f*x)*sqrt(a+I*a*sinh(e+f*x))-3/4*a*f*cosh(1/4*(6*e-I*Pi))*sech(1/2*e+1/4*I*Pi+1/2*f*x)*Shi(3/2*f*x)*sqrt(a+I*a*sinh(e+f*x))-3/4*a*f*Chi(3/2*f*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/4*(6*e-I*Pi))*sqrt(a+I*a*sinh(e+f*x))+3/4*a*f*Chi(1/2*f*x)*sech(1/2*e+1/4*I*Pi+1/2*f*x)*sinh(1/4*(2*e+I*Pi))*sqrt(a+I*a*sinh(e+f*x))],
[x^3*(a+I*a*sinh(c+d*x))^(5/2),x,14,-265216/1125*a^2*sqrt(a+I*a*sinh(c+d*x))/d^4-128/5*a^2*x^2*sqrt(a+I*a*sinh(c+d*x))/d^2-17408/3375*a^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^2*sqrt(a+I*a*sinh(c+d*x))/d^4-64/15*a^2*x^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^2*sqrt(a+I*a*sinh(c+d*x))/d^2-384/625*a^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^4*sqrt(a+I*a*sinh(c+d*x))/d^4-48/25*a^2*x^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^4*sqrt(a+I*a*sinh(c+d*x))/d^2+8704/1125*a^2*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d^3+32/15*a^2*x^3*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d+192/125*a^2*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^3*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d^3+8/5*a^2*x^3*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^3*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d+132608/1125*a^2*x*sqrt(a+I*a*sinh(c+d*x))*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/d^3+64/15*a^2*x^3*sqrt(a+I*a*sinh(c+d*x))*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/d],
[x^2*(a+I*a*sinh(c+d*x))^(5/2),x,10,-256/15*a^2*x*sqrt(a+I*a*sinh(c+d*x))/d^2-128/45*a^2*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^2*sqrt(a+I*a*sinh(c+d*x))/d^2-32/25*a^2*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^4*sqrt(a+I*a*sinh(c+d*x))/d^2+32/15*a^2*x^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d+8/5*a^2*x^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^3*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d+9536/225*a^2*sqrt(a+I*a*sinh(c+d*x))*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/d^3+64/15*a^2*x^2*sqrt(a+I*a*sinh(c+d*x))*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/d+2432/675*a^2*sinh(1/2*c+1/4*I*Pi+1/2*d*x)^2*sqrt(a+I*a*sinh(c+d*x))*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/d^3+64/125*a^2*sinh(1/2*c+1/4*I*Pi+1/2*d*x)^4*sqrt(a+I*a*sinh(c+d*x))*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/d^3],
[x*(a+I*a*sinh(c+d*x))^(5/2),x,5,-128/15*a^2*sqrt(a+I*a*sinh(c+d*x))/d^2-64/45*a^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^2*sqrt(a+I*a*sinh(c+d*x))/d^2-16/25*a^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^4*sqrt(a+I*a*sinh(c+d*x))/d^2+32/15*a^2*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d+8/5*a^2*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^3*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/d+64/15*a^2*x*sqrt(a+I*a*sinh(c+d*x))*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/d],
[(a+I*a*sinh(c+d*x))^(5/2)/x,x,12,5/2*I*a^2*cosh(1/4*(2*c-I*Pi))*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))+5/4*I*a^2*cosh(1/4*(6*c+I*Pi))*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(3/2*d*x)*sqrt(a+I*a*sinh(c+d*x))-1/4*I*a^2*cosh(5/2*c-1/4*I*Pi)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(5/2*d*x)*sqrt(a+I*a*sinh(c+d*x))-1/4*I*a^2*Chi(5/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(5/2*c-1/4*I*Pi)*sqrt(a+I*a*sinh(c+d*x))+5/2*I*a^2*Chi(1/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/4*(2*c-I*Pi))*sqrt(a+I*a*sinh(c+d*x))+5/4*I*a^2*Chi(3/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/4*(6*c+I*Pi))*sqrt(a+I*a*sinh(c+d*x))],
[(a+I*a*sinh(c+d*x))^(5/2)/x^2,x,12,-4*a^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^4*sqrt(a+I*a*sinh(c+d*x))/x+5/4*a^2*d*cosh(1/4*(2*c+I*Pi))*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))-15/8*a^2*d*cosh(1/4*(6*c-I*Pi))*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(3/2*d*x)*sqrt(a+I*a*sinh(c+d*x))-5/8*a^2*d*cosh(5/2*c+1/4*I*Pi)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(5/2*d*x)*sqrt(a+I*a*sinh(c+d*x))-5/8*a^2*d*Chi(5/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(5/2*c+1/4*I*Pi)*sqrt(a+I*a*sinh(c+d*x))-15/8*a^2*d*Chi(3/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/4*(6*c-I*Pi))*sqrt(a+I*a*sinh(c+d*x))+5/4*a^2*d*Chi(1/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/4*(2*c+I*Pi))*sqrt(a+I*a*sinh(c+d*x))],
[(a+I*a*sinh(c+d*x))^(5/2)/x^3,x,21,-2*a^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^4*sqrt(a+I*a*sinh(c+d*x))/x^2+5/16*I*a^2*d^2*cosh(1/4*(2*c-I*Pi))*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))+45/32*I*a^2*d^2*cosh(1/4*(6*c+I*Pi))*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(3/2*d*x)*sqrt(a+I*a*sinh(c+d*x))-25/32*I*a^2*d^2*cosh(5/2*c-1/4*I*Pi)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*Shi(5/2*d*x)*sqrt(a+I*a*sinh(c+d*x))-25/32*I*a^2*d^2*Chi(5/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(5/2*c-1/4*I*Pi)*sqrt(a+I*a*sinh(c+d*x))+5/16*I*a^2*d^2*Chi(1/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/4*(2*c-I*Pi))*sqrt(a+I*a*sinh(c+d*x))+45/32*I*a^2*d^2*Chi(3/2*d*x)*sech(1/2*c+1/4*I*Pi+1/2*d*x)*sinh(1/4*(6*c+I*Pi))*sqrt(a+I*a*sinh(c+d*x))-5*a^2*d*cosh(1/2*c+1/4*I*Pi+1/2*d*x)^3*sinh(1/2*c+1/4*I*Pi+1/2*d*x)*sqrt(a+I*a*sinh(c+d*x))/x],

# n<0
[x^3/sqrt(a+I*a*sinh(e+f*x)),x,10,4*I*x^3*arctanh(exp(1/4*(2*e-I*Pi)+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(f*sqrt(a+I*a*sinh(e+f*x)))+12*I*x^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^2*sqrt(a+I*a*sinh(e+f*x)))-12*I*x^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^2*sqrt(a+I*a*sinh(e+f*x)))-48*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^3*sqrt(a+I*a*sinh(e+f*x)))+48*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^3*sqrt(a+I*a*sinh(e+f*x)))+96*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(4,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^4*sqrt(a+I*a*sinh(e+f*x)))-96*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(4,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^4*sqrt(a+I*a*sinh(e+f*x)))],
[x^2/sqrt(a+I*a*sinh(e+f*x)),x,8,4*I*x^2*arctanh(exp(1/4*(2*e-I*Pi)+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(f*sqrt(a+I*a*sinh(e+f*x)))+8*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^2*sqrt(a+I*a*sinh(e+f*x)))-8*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^2*sqrt(a+I*a*sinh(e+f*x)))-16*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^3*sqrt(a+I*a*sinh(e+f*x)))+16*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^3*sqrt(a+I*a*sinh(e+f*x)))],
[x/sqrt(a+I*a*sinh(e+f*x)),x,6,4*I*x*arctanh(exp(1/4*(2*e-I*Pi)+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(f*sqrt(a+I*a*sinh(e+f*x)))+4*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^2*sqrt(a+I*a*sinh(e+f*x)))-4*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(f^2*sqrt(a+I*a*sinh(e+f*x)))],
[1/(x*sqrt(a+I*a*sinh(e+f*x))),x,0,Unintegrable(1/(x*sqrt(a+I*a*sinh(e+f*x))),x)],
[1/(x^2*sqrt(a+I*a*sinh(e+f*x))),x,0,Unintegrable(1/(x^2*sqrt(a+I*a*sinh(e+f*x))),x)],
[x^3/(a+I*a*sinh(e+f*x))^(3/2),x,16,3*x^2/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))-24*I*x*arctanh(exp(1/4*(2*e-I*Pi)+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f^3*sqrt(a+I*a*sinh(e+f*x)))+I*x^3*arctanh(exp(1/4*(2*e-I*Pi)+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f*sqrt(a+I*a*sinh(e+f*x)))-24*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^4*sqrt(a+I*a*sinh(e+f*x)))+3*I*x^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))+24*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^4*sqrt(a+I*a*sinh(e+f*x)))-3*I*x^2*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))-12*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^3*sqrt(a+I*a*sinh(e+f*x)))+12*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^3*sqrt(a+I*a*sinh(e+f*x)))+24*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(4,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^4*sqrt(a+I*a*sinh(e+f*x)))-24*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(4,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^4*sqrt(a+I*a*sinh(e+f*x)))+1/2*x^3*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f*sqrt(a+I*a*sinh(e+f*x)))],
[x^2/(a+I*a*sinh(e+f*x))^(3/2),x,10,2*x/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))-4*arctan(sinh(1/2*e+1/4*I*Pi+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f^3*sqrt(a+I*a*sinh(e+f*x)))+I*x^2*arctanh(exp(1/4*(2*e-I*Pi)+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f*sqrt(a+I*a*sinh(e+f*x)))+2*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))-2*I*x*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))-4*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^3*sqrt(a+I*a*sinh(e+f*x)))+4*I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(3,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^3*sqrt(a+I*a*sinh(e+f*x)))+1/2*x^2*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f*sqrt(a+I*a*sinh(e+f*x)))],
[x/(a+I*a*sinh(e+f*x))^(3/2),x,7,1/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))+I*x*arctanh(exp(1/4*(2*e-I*Pi)+1/2*f*x))*cosh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f*sqrt(a+I*a*sinh(e+f*x)))+I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,-exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))-I*cosh(1/2*e+1/4*I*Pi+1/2*f*x)*polylog(2,exp(1/4*(2*e-I*Pi)+1/2*f*x))/(a*f^2*sqrt(a+I*a*sinh(e+f*x)))+1/2*x*tanh(1/2*e+1/4*I*Pi+1/2*f*x)/(a*f*sqrt(a+I*a*sinh(e+f*x)))],
[1/(x*(a+I*a*sinh(e+f*x))^(3/2)),x,0,Unintegrable(1/(x*(a+I*a*sinh(e+f*x))^(3/2)),x)],
[1/(x^2*(a+I*a*sinh(e+f*x))^(3/2)),x,0,Unintegrable(1/(x^2*(a+I*a*sinh(e+f*x))^(3/2)),x)],
[x^3/(a+I*a*sinh(c+d*x))^(5/2),x,23,(-1)/(a^2*d^4*sqrt(a+I*a*sinh(c+d*x)))+9/8*x^2/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-10*I*x*arctanh(exp(1/4*(2*c-I*Pi)+1/2*d*x))*cosh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+3/8*I*x^3*arctanh(exp(1/4*(2*c-I*Pi)+1/2*d*x))*cosh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))-10*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,-exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^4*sqrt(a+I*a*sinh(c+d*x)))+9/8*I*x^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,-exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))+10*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^4*sqrt(a+I*a*sinh(c+d*x)))-9/8*I*x^2*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-9/2*I*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(3,-exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+9/2*I*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(3,exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+9*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(4,-exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^4*sqrt(a+I*a*sinh(c+d*x)))-9*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(4,exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^4*sqrt(a+I*a*sinh(c+d*x)))+1/4*x^2*sech(1/2*c+1/4*I*Pi+1/2*d*x)^2/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-1/2*x*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+3/16*x^3*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))+1/8*x^3*sech(1/2*c+1/4*I*Pi+1/2*d*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))],
[x^2/(a+I*a*sinh(c+d*x))^(5/2),x,13,3/4*x/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-5/3*arctan(sinh(1/2*c+1/4*I*Pi+1/2*d*x))*cosh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+3/8*I*x^2*arctanh(exp(1/4*(2*c-I*Pi)+1/2*d*x))*cosh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))+3/4*I*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,-exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-3/4*I*x*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-3/2*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(3,-exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+3/2*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(3,exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+1/6*x*sech(1/2*c+1/4*I*Pi+1/2*d*x)^2/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-1/6*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d^3*sqrt(a+I*a*sinh(c+d*x)))+3/16*x^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))+1/8*x^2*sech(1/2*c+1/4*I*Pi+1/2*d*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))],
[x/(a+I*a*sinh(c+d*x))^(5/2),x,8,3/8/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))+3/8*I*x*arctanh(exp(1/4*(2*c-I*Pi)+1/2*d*x))*cosh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))+3/8*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,-exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))-3/8*I*cosh(1/2*c+1/4*I*Pi+1/2*d*x)*polylog(2,exp(1/4*(2*c-I*Pi)+1/2*d*x))/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))+1/12*sech(1/2*c+1/4*I*Pi+1/2*d*x)^2/(a^2*d^2*sqrt(a+I*a*sinh(c+d*x)))+3/16*x*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))+1/8*x*sech(1/2*c+1/4*I*Pi+1/2*d*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a^2*d*sqrt(a+I*a*sinh(c+d*x)))],
[1/(x*(a+I*a*sinh(c+d*x))^(5/2)),x,0,Unintegrable(1/(x*(a+I*a*sinh(c+d*x))^(5/2)),x)],

# Integrands of the form (c+d x)^m (a+I a Sinh[e+f x])^(n/3)

#  Used to hang Rubi 
[(a+I*a*sinh(e+f*x))^(1/3)/x,x,0,Unintegrable((a+I*a*sinh(e+f*x))^(1/3)/x,x)],

# Integrands of the form (c+d x)^m (a+I a Sinh[e+f x])^n with m symbolic
[(c+d*x)^m*(a+I*a*sinh(e+f*x))^n,x,0,Unintegrable((c+d*x)^m*(a+I*a*sinh(e+f*x))^n,x)],
[(c+d*x)^m*(a+I*a*sinh(e+f*x))^3,x,12,5/2*a^3*(c+d*x)^(1+m)/(d*(1+m))-1/8*I*3^(-1-m)*a^3*exp(3*e-3*c*f/d)*(c+d*x)^m*GAMMA(1+m,-3*f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)-3*2^(-3-m)*a^3*exp(2*e-2*c*f/d)*(c+d*x)^m*GAMMA(1+m,-2*f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+15/8*I*a^3*exp(e-c*f/d)*(c+d*x)^m*GAMMA(1+m,-f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+15/8*I*a^3*exp(-e+c*f/d)*(c+d*x)^m*GAMMA(1+m,f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)+3*2^(-3-m)*a^3*exp(-2*e+2*c*f/d)*(c+d*x)^m*GAMMA(1+m,2*f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)-1/8*I*3^(-1-m)*a^3*exp(-3*e+3*c*f/d)*(c+d*x)^m*GAMMA(1+m,3*f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)],
[(c+d*x)^m*(a+I*a*sinh(e+f*x))^2,x,9,3/2*a^2*(c+d*x)^(1+m)/(d*(1+m))-2^(-3-m)*a^2*exp(2*e-2*c*f/d)*(c+d*x)^m*GAMMA(1+m,-2*f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+I*a^2*exp(e-c*f/d)*(c+d*x)^m*GAMMA(1+m,-f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+I*a^2*exp(-e+c*f/d)*(c+d*x)^m*GAMMA(1+m,f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)+2^(-3-m)*a^2*exp(-2*e+2*c*f/d)*(c+d*x)^m*GAMMA(1+m,2*f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)],
[(c+d*x)^m*(a+I*a*sinh(e+f*x)),x,5,a*(c+d*x)^(1+m)/(d*(1+m))+1/2*I*a*exp(e-c*f/d)*(c+d*x)^m*GAMMA(1+m,-f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+1/2*I*a*exp(-e+c*f/d)*(c+d*x)^m*GAMMA(1+m,f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)],
[(c+d*x)^m/(a+I*a*sinh(e+f*x)),x,0,Unintegrable((c+d*x)^m/(a+I*a*sinh(e+f*x)),x)],
[(c+d*x)^m/(a+I*a*sinh(e+f*x))^2,x,0,Unintegrable((c+d*x)^m/(a+I*a*sinh(e+f*x))^2,x)],

# Integrands of the form (c+d x)^m (a+b Sinh[e+f x])^n

# Integrands of the form (c+d x)^m (a+b Sinh[e+f x])^n

# n>0
[(c+d*x)^3*(a+b*sinh(e+f*x)),x,6,1/4*a*(c+d*x)^4/d+6*b*d^2*(c+d*x)*cosh(e+f*x)/f^3+b*(c+d*x)^3*cosh(e+f*x)/f-6*b*d^3*sinh(e+f*x)/f^4-3*b*d*(c+d*x)^2*sinh(e+f*x)/f^2],
[(c+d*x)^2*(a+b*sinh(e+f*x)),x,5,1/3*a*(c+d*x)^3/d+2*b*d^2*cosh(e+f*x)/f^3+b*(c+d*x)^2*cosh(e+f*x)/f-2*b*d*(c+d*x)*sinh(e+f*x)/f^2],
[(c+d*x)*(a+b*sinh(e+f*x)),x,4,1/2*a*(c+d*x)^2/d+b*(c+d*x)*cosh(e+f*x)/f-b*d*sinh(e+f*x)/f^2],
[(a+b*sinh(e+f*x))/(c+d*x),x,5,a*log(c+d*x)/d+b*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d+b*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d],
[(a+b*sinh(e+f*x))/(c+d*x)^2,x,6,-a/(d*(c+d*x))+b*f*Chi(c*f/d+f*x)*cosh(e-c*f/d)/d^2+b*f*Shi(c*f/d+f*x)*sinh(e-c*f/d)/d^2-b*sinh(e+f*x)/(d*(c+d*x))],
[(a+b*sinh(e+f*x))/(c+d*x)^3,x,7,-1/2*a/(d*(c+d*x)^2)-1/2*b*f*cosh(e+f*x)/(d^2*(c+d*x))+1/2*b*f^2*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d^3+1/2*b*f^2*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d^3-1/2*b*sinh(e+f*x)/(d*(c+d*x)^2)],
[(c+d*x)^3*(a+b*sinh(e+f*x))^2,x,10,-3/4*b^2*c*d^2*x/f^2-3/8*b^2*d^3*x^2/f^2+1/4*a^2*(c+d*x)^4/d-1/8*b^2*(c+d*x)^4/d+12*a*b*d^2*(c+d*x)*cosh(e+f*x)/f^3+2*a*b*(c+d*x)^3*cosh(e+f*x)/f-12*a*b*d^3*sinh(e+f*x)/f^4-6*a*b*d*(c+d*x)^2*sinh(e+f*x)/f^2+3/4*b^2*d^2*(c+d*x)*cosh(e+f*x)*sinh(e+f*x)/f^3+1/2*b^2*(c+d*x)^3*cosh(e+f*x)*sinh(e+f*x)/f-3/8*b^2*d^3*sinh(e+f*x)^2/f^4-3/4*b^2*d*(c+d*x)^2*sinh(e+f*x)^2/f^2],
[(c+d*x)^2*(a+b*sinh(e+f*x))^2,x,9,-1/4*b^2*d^2*x/f^2+1/3*a^2*(c+d*x)^3/d-1/6*b^2*(c+d*x)^3/d+4*a*b*d^2*cosh(e+f*x)/f^3+2*a*b*(c+d*x)^2*cosh(e+f*x)/f-4*a*b*d*(c+d*x)*sinh(e+f*x)/f^2+1/4*b^2*d^2*cosh(e+f*x)*sinh(e+f*x)/f^3+1/2*b^2*(c+d*x)^2*cosh(e+f*x)*sinh(e+f*x)/f-1/2*b^2*d*(c+d*x)*sinh(e+f*x)^2/f^2],
[(c+d*x)*(a+b*sinh(e+f*x))^2,x,6,-1/2*b^2*c*x-1/4*b^2*d*x^2+1/2*a^2*(c+d*x)^2/d+2*a*b*(c+d*x)*cosh(e+f*x)/f-2*a*b*d*sinh(e+f*x)/f^2+1/2*b^2*(c+d*x)*cosh(e+f*x)*sinh(e+f*x)/f-1/4*b^2*d*sinh(e+f*x)^2/f^2],
[(a+b*sinh(e+f*x))^2/(c+d*x),x,10,1/2*b^2*Chi(2*c*f/d+2*f*x)*cosh(2*e-2*c*f/d)/d+a^2*log(c+d*x)/d-1/2*b^2*log(c+d*x)/d+2*a*b*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d+1/2*b^2*Shi(2*c*f/d+2*f*x)*sinh(2*e-2*c*f/d)/d+2*a*b*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d],
[(a+b*sinh(e+f*x))^2/(c+d*x)^2,x,11,-a^2/(d*(c+d*x))+2*a*b*f*Chi(c*f/d+f*x)*cosh(e-c*f/d)/d^2+b^2*f*cosh(2*e-2*c*f/d)*Shi(2*c*f/d+2*f*x)/d^2+b^2*f*Chi(2*c*f/d+2*f*x)*sinh(2*e-2*c*f/d)/d^2+2*a*b*f*Shi(c*f/d+f*x)*sinh(e-c*f/d)/d^2-2*a*b*sinh(e+f*x)/(d*(c+d*x))-b^2*sinh(e+f*x)^2/(d*(c+d*x))],
[(a+b*sinh(e+f*x))^2/(c+d*x)^3,x,14,-1/2*a^2/(d*(c+d*x)^2)+b^2*f^2*Chi(2*c*f/d+2*f*x)*cosh(2*e-2*c*f/d)/d^3-a*b*f*cosh(e+f*x)/(d^2*(c+d*x))+a*b*f^2*cosh(e-c*f/d)*Shi(c*f/d+f*x)/d^3+b^2*f^2*Shi(2*c*f/d+2*f*x)*sinh(2*e-2*c*f/d)/d^3+a*b*f^2*Chi(c*f/d+f*x)*sinh(e-c*f/d)/d^3-a*b*sinh(e+f*x)/(d*(c+d*x)^2)-b^2*f*cosh(e+f*x)*sinh(e+f*x)/(d^2*(c+d*x))-1/2*b^2*sinh(e+f*x)^2/(d*(c+d*x)^2)],

# n<0
[(c+d*x)^3/(a+b*sinh(e+f*x)),x,12,(c+d*x)^3*log(1+b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f*sqrt(a^2+b^2))-(c+d*x)^3*log(1+b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f*sqrt(a^2+b^2))+3*d*(c+d*x)^2*polylog(2,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f^2*sqrt(a^2+b^2))-3*d*(c+d*x)^2*polylog(2,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f^2*sqrt(a^2+b^2))-6*d^2*(c+d*x)*polylog(3,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f^3*sqrt(a^2+b^2))+6*d^2*(c+d*x)*polylog(3,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f^3*sqrt(a^2+b^2))+6*d^3*polylog(4,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f^4*sqrt(a^2+b^2))-6*d^3*polylog(4,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f^4*sqrt(a^2+b^2))],
[(c+d*x)^2/(a+b*sinh(e+f*x)),x,10,(c+d*x)^2*log(1+b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f*sqrt(a^2+b^2))-(c+d*x)^2*log(1+b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f*sqrt(a^2+b^2))+2*d*(c+d*x)*polylog(2,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f^2*sqrt(a^2+b^2))-2*d*(c+d*x)*polylog(2,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f^2*sqrt(a^2+b^2))-2*d^2*polylog(3,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f^3*sqrt(a^2+b^2))+2*d^2*polylog(3,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f^3*sqrt(a^2+b^2))],
[(c+d*x)/(a+b*sinh(e+f*x)),x,8,(c+d*x)*log(1+b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f*sqrt(a^2+b^2))-(c+d*x)*log(1+b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f*sqrt(a^2+b^2))+d*polylog(2,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/(f^2*sqrt(a^2+b^2))-d*polylog(2,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/(f^2*sqrt(a^2+b^2))],
[1/((c+d*x)*(a+b*sinh(e+f*x))),x,0,Unintegrable(1/((c+d*x)*(a+b*sinh(e+f*x))),x)],
[1/((c+d*x)^2*(a+b*sinh(e+f*x))),x,0,Unintegrable(1/((c+d*x)^2*(a+b*sinh(e+f*x))),x)],
[(c+d*x)^2/(a+b*sinh(e+f*x))^2,x,18,-(c+d*x)^2/((a^2+b^2)*f)+2*d*(c+d*x)*log(1+b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*f^2)+a*(c+d*x)^2*log(1+b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f)+2*d*(c+d*x)*log(1+b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*f^2)-a*(c+d*x)^2*log(1+b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f)+2*d^2*polylog(2,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*f^3)+2*a*d*(c+d*x)*polylog(2,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f^2)+2*d^2*polylog(2,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*f^3)-2*a*d*(c+d*x)*polylog(2,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f^2)-2*a*d^2*polylog(3,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f^3)+2*a*d^2*polylog(3,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f^3)-b*(c+d*x)^2*cosh(e+f*x)/((a^2+b^2)*f*(a+b*sinh(e+f*x)))],
[(c+d*x)/(a+b*sinh(e+f*x))^2,x,11,d*log(a+b*sinh(e+f*x))/((a^2+b^2)*f^2)+a*(c+d*x)*log(1+b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f)-a*(c+d*x)*log(1+b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f)+a*d*polylog(2,-b*exp(e+f*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f^2)-a*d*polylog(2,-b*exp(e+f*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*f^2)-b*(c+d*x)*cosh(e+f*x)/((a^2+b^2)*f*(a+b*sinh(e+f*x)))],
[1/((c+d*x)*(a+b*sinh(e+f*x))^2),x,0,Unintegrable(1/((c+d*x)*(a+b*sinh(e+f*x))^2),x)],
[1/((c+d*x)^2*(a+b*sinh(e+f*x))^2),x,0,Unintegrable(1/((c+d*x)^2*(a+b*sinh(e+f*x))^2),x)],

#  {(e + f*x)^2/(a + b*Sinh[c + d*x])^3, x, 53, -((3*a*(e + f*x)^2)/(2*(a^2 + b^2)^2*d)) - (2*f^2*ArcTanh[(b - a*Tanh[(1/2)*(c + d*x)])/Sqrt[a^2 + b^2]])/((a^2 + b^2)^(3/2)*d^3) + (3*a*f*(e + f*x)*Log[1 + (b*E^(c + d*x))/(a - Sqrt[a^2 + b^2])])/((a^2 + b^2)^2*d^2) + (3*a^2*(e + f*x)^2*Log[1 + (b*E^(c + d*x))/(a - Sqrt[a^2 + b^2])])/(2*(a^2 + b^2)^(5/2)*d) - ((e + f*x)^2*Log[1 + (b*E^(c + d*x))/(a - Sqrt[a^2 + b^2])])/(2*(a^2 + b^2)^(3/2)*d) + (3*a*f*(e + f*x)*Log[1 + (b*E^(c + d*x))/(a + Sqrt[a^2 + b^2])])/((a^2 + b^2)^2*d^2) - (3*a^2*(e + f*x)^2*Log[1 + (b*E^(c + d*x))/(a + Sqrt[a^2 + b^2])])/(2*(a^2 + b^2)^(5/2)*d) + ((e + f*x)^2*Log[1 + (b*E^(c + d*x))/(a + Sqrt[a^2 + b^2])])/(2*(a^2 + b^2)^(3/2)*d) + (3*a*f^2*PolyLog[2, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/((a^2 + b^2)^2*d^3) + (3*a^2*f*(e + f*x)*PolyLog[2, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(5/2)*d^2) - (f*(e + f*x)*PolyLog[2, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(3/2)*d^2) + (3*a*f^2*PolyLog[2, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/((a^2 + b^2)^2*d^3) - (3*a^2*f*(e + f*x)*PolyLog[2, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(5/2)*d^2) + (f*(e + f*x)*PolyLog[2, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(3/2)*d^2) - (3*a^2*f^2*PolyLog[3, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(5/2)*d^3) + (f^2*PolyLog[3, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(3/2)*d^3) + (3*a^2*f^2*PolyLog[3, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(5/2)*d^3) - (f^2*PolyLog[3, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/((a^2 + b^2)^(3/2)*d^3) - (b*(e + f*x)^2*Cosh[c + d*x])/(2*(a^2 + b^2)*d*(a + b*Sinh[c + d*x])^2) - (f*(e + f*x))/((a^2 + b^2)*d^2*(a + b*Sinh[c + d*x])) - (3*a*b*(e + f*x)^2*Cosh[c + d*x])/(2*(a^2 + b^2)^2*d*(a + b*Sinh[c + d*x]))} 
[(e+f*x)/(a+b*sinh(c+d*x))^3,x,35,3/2*a*f*log(a+b*sinh(c+d*x))/((a^2+b^2)^2*d^2)+3/2*a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(5/2)*d)-1/2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-3/2*a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(5/2)*d)+1/2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+3/2*a^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(5/2)*d^2)-1/2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-3/2*a^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(5/2)*d^2)+1/2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-1/2*b*(e+f*x)*cosh(c+d*x)/((a^2+b^2)*d*(a+b*sinh(c+d*x))^2)-1/2*f/((a^2+b^2)*d^2*(a+b*sinh(c+d*x)))-3/2*a*b*(e+f*x)*cosh(c+d*x)/((a^2+b^2)^2*d*(a+b*sinh(c+d*x)))],
[1/((e+f*x)*(a+b*sinh(c+d*x))^3),x,0,Unintegrable(1/((e+f*x)*(a+b*sinh(c+d*x))^3),x)],
[1/((e+f*x)^2*(a+b*sinh(c+d*x))^3),x,0,Unintegrable(1/((e+f*x)^2*(a+b*sinh(c+d*x))^3),x)],

# Integrands of the form (c+d x)^m (a+b Sinh[e+f x])^n with m symbolic
[(c+d*x)^m*(a+b*sinh(e+f*x))^n,x,0,Unintegrable((c+d*x)^m*(a+b*sinh(e+f*x))^n,x)],
[(c+d*x)^m*(a+b*sinh(e+f*x))^3,x,18,a^3*(c+d*x)^(1+m)/(d*(1+m))-3/2*a*b^2*(c+d*x)^(1+m)/(d*(1+m))+1/8*3^(-1-m)*b^3*exp(3*e-3*c*f/d)*(c+d*x)^m*GAMMA(1+m,-3*f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+3*2^(-3-m)*a*b^2*exp(2*e-2*c*f/d)*(c+d*x)^m*GAMMA(1+m,-2*f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+3/2*a^2*b*exp(e-c*f/d)*(c+d*x)^m*GAMMA(1+m,-f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)-3/8*b^3*exp(e-c*f/d)*(c+d*x)^m*GAMMA(1+m,-f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+3/2*a^2*b*exp(-e+c*f/d)*(c+d*x)^m*GAMMA(1+m,f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)-3/8*b^3*exp(-e+c*f/d)*(c+d*x)^m*GAMMA(1+m,f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)-3*2^(-3-m)*a*b^2*exp(-2*e+2*c*f/d)*(c+d*x)^m*GAMMA(1+m,2*f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)+1/8*3^(-1-m)*b^3*exp(-3*e+3*c*f/d)*(c+d*x)^m*GAMMA(1+m,3*f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)],
[(c+d*x)^m*(a+b*sinh(e+f*x))^2,x,10,a^2*(c+d*x)^(1+m)/(d*(1+m))-1/2*b^2*(c+d*x)^(1+m)/(d*(1+m))+2^(-3-m)*b^2*exp(2*e-2*c*f/d)*(c+d*x)^m*GAMMA(1+m,-2*f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+a*b*exp(e-c*f/d)*(c+d*x)^m*GAMMA(1+m,-f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+a*b*exp(-e+c*f/d)*(c+d*x)^m*GAMMA(1+m,f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)-2^(-3-m)*b^2*exp(-2*e+2*c*f/d)*(c+d*x)^m*GAMMA(1+m,2*f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)],
[(c+d*x)^m*(a+b*sinh(e+f*x)),x,5,a*(c+d*x)^(1+m)/(d*(1+m))+1/2*b*exp(e-c*f/d)*(c+d*x)^m*GAMMA(1+m,-f*(c+d*x)/d)/(f*(-f*(c+d*x)/d)^m)+1/2*b*exp(-e+c*f/d)*(c+d*x)^m*GAMMA(1+m,f*(c+d*x)/d)/(f*(f*(c+d*x)/d)^m)],
[(c+d*x)^m/(a+b*sinh(e+f*x)),x,0,Unintegrable((c+d*x)^m/(a+b*sinh(e+f*x)),x)],
[(c+d*x)^m/(a+b*sinh(e+f*x))^2,x,0,Unintegrable((c+d*x)^m/(a+b*sinh(e+f*x))^2,x)],

# Integrands of the form (e+f x)^m Sinh[c+d x]^n (a+b Sinh[c+d x])^p

# Integrands of the form (e+f x)^m Sinh[c+d x]^n (a+b Sinh[c+d x])^p with a^2+b^2=0

# Integrands of the form (e+f x)^m Sinh[c+d x]^n / (a+a Sinh[c+d x])

# n>0
[(e+f*x)^3*sinh(c+d*x)/(a+I*a*sinh(c+d*x)),x,9,I*(e+f*x)^3/(a*d)-1/4*I*(e+f*x)^4/(a*f)-6*I*f*(e+f*x)^2*log(1+I*exp(c+d*x))/(a*d^2)-12*I*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)+12*I*f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)+I*(e+f*x)^3*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)^2*sinh(c+d*x)/(a+I*a*sinh(c+d*x)),x,8,I*(e+f*x)^2/(a*d)-1/3*I*(e+f*x)^3/(a*f)-4*I*f*(e+f*x)*log(1+I*exp(c+d*x))/(a*d^2)-4*I*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)+I*(e+f*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)*sinh(c+d*x)/(a+I*a*sinh(c+d*x)),x,5,-I*e*x/a-1/2*I*f*x^2/a-2*I*f*log(cosh(1/2*c+1/4*I*Pi+1/2*d*x))/(a*d^2)+I*(e+f*x)*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[sinh(c+d*x)/(a+I*a*sinh(c+d*x)),x,2,-I*x/a-cosh(c+d*x)/(d*(a+I*a*sinh(c+d*x)))],
[sinh(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[sinh(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],
[(e+f*x)^3*sinh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,14,-(e+f*x)^3/(a*d)+1/4*(e+f*x)^4/(a*f)-6*I*f^2*(e+f*x)*cosh(c+d*x)/(a*d^3)-I*(e+f*x)^3*cosh(c+d*x)/(a*d)+6*f*(e+f*x)^2*log(1+I*exp(c+d*x))/(a*d^2)+12*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)-12*f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)+6*I*f^3*sinh(c+d*x)/(a*d^4)+3*I*f*(e+f*x)^2*sinh(c+d*x)/(a*d^2)-(e+f*x)^3*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)^2*sinh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,12,-(e+f*x)^2/(a*d)+1/3*(e+f*x)^3/(a*f)-2*I*f^2*cosh(c+d*x)/(a*d^3)-I*(e+f*x)^2*cosh(c+d*x)/(a*d)+4*f*(e+f*x)*log(1+I*exp(c+d*x))/(a*d^2)+4*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)+2*I*f*(e+f*x)*sinh(c+d*x)/(a*d^2)-(e+f*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)*sinh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,8,e*x/a+1/2*f*x^2/a-I*(e+f*x)*cosh(c+d*x)/(a*d)+2*f*log(cosh(1/2*c+1/4*I*Pi+1/2*d*x))/(a*d^2)+I*f*sinh(c+d*x)/(a*d^2)-(e+f*x)*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[sinh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,4,x/a-I*cosh(c+d*x)/(a*d)-I*cosh(c+d*x)/(a*d*(1+I*sinh(c+d*x)))],
[sinh(c+d*x)^2/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)^2/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[sinh(c+d*x)^2/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)^2/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],
[(e+f*x)^3*sinh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,19,3/4*I*e*f^2*x/(a*d^2)+3/8*I*f^3*x^2/(a*d^2)-I*(e+f*x)^3/(a*d)+3/8*I*(e+f*x)^4/(a*f)+6*f^2*(e+f*x)*cosh(c+d*x)/(a*d^3)+(e+f*x)^3*cosh(c+d*x)/(a*d)+6*I*f*(e+f*x)^2*log(1+I*exp(c+d*x))/(a*d^2)+12*I*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)-12*I*f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)-6*f^3*sinh(c+d*x)/(a*d^4)-3*f*(e+f*x)^2*sinh(c+d*x)/(a*d^2)-3/4*I*f^2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(a*d^3)-1/2*I*(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)/(a*d)+3/8*I*f^3*sinh(c+d*x)^2/(a*d^4)+3/4*I*f*(e+f*x)^2*sinh(c+d*x)^2/(a*d^2)-I*(e+f*x)^3*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)^2*sinh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,17,1/4*I*f^2*x/(a*d^2)-I*(e+f*x)^2/(a*d)+1/2*I*(e+f*x)^3/(a*f)+2*f^2*cosh(c+d*x)/(a*d^3)+(e+f*x)^2*cosh(c+d*x)/(a*d)+4*I*f*(e+f*x)*log(1+I*exp(c+d*x))/(a*d^2)+4*I*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)-2*f*(e+f*x)*sinh(c+d*x)/(a*d^2)-1/4*I*f^2*cosh(c+d*x)*sinh(c+d*x)/(a*d^3)-1/2*I*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(a*d)+1/2*I*f*(e+f*x)*sinh(c+d*x)^2/(a*d^2)-I*(e+f*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)*sinh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,11,3/2*I*e*x/a+3/4*I*f*x^2/a+(e+f*x)*cosh(c+d*x)/(a*d)+2*I*f*log(cosh(1/2*c+1/4*I*Pi+1/2*d*x))/(a*d^2)-f*sinh(c+d*x)/(a*d^2)-1/2*I*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(a*d)+1/4*I*f*sinh(c+d*x)^2/(a*d^2)-I*(e+f*x)*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[sinh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,2,3/2*I*x/a+2*cosh(c+d*x)/(a*d)-3/2*I*cosh(c+d*x)*sinh(c+d*x)/(a*d)-cosh(c+d*x)*sinh(c+d*x)^2/(d*(a+I*a*sinh(c+d*x)))],
[sinh(c+d*x)^3/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)^3/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[sinh(c+d*x)^3/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)^3/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*csch(c+d*x)/(a+I*a*sinh(c+d*x)),x,17,-I*(e+f*x)^3/(a*d)-2*(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)+6*I*f*(e+f*x)^2*log(1+I*exp(c+d*x))/(a*d^2)-3*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)+12*I*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)+3*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)+6*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)-12*I*f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)-6*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)-6*f^3*polylog(4,-exp(c+d*x))/(a*d^4)+6*f^3*polylog(4,exp(c+d*x))/(a*d^4)-I*(e+f*x)^3*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)^2*csch(c+d*x)/(a+I*a*sinh(c+d*x)),x,14,-I*(e+f*x)^2/(a*d)-2*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)+4*I*f*(e+f*x)*log(1+I*exp(c+d*x))/(a*d^2)-2*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)+4*I*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)+2*f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+2*f^2*polylog(3,-exp(c+d*x))/(a*d^3)-2*f^2*polylog(3,exp(c+d*x))/(a*d^3)-I*(e+f*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)*csch(c+d*x)/(a+I*a*sinh(c+d*x)),x,9,-2*(e+f*x)*arctanh(exp(c+d*x))/(a*d)+2*I*f*log(cosh(1/2*c+1/4*I*Pi+1/2*d*x))/(a*d^2)-f*polylog(2,-exp(c+d*x))/(a*d^2)+f*polylog(2,exp(c+d*x))/(a*d^2)-I*(e+f*x)*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[csch(c+d*x)/(a+I*a*sinh(c+d*x)),x,3,-arctanh(cosh(c+d*x))/(a*d)+cosh(c+d*x)/(d*(a+I*a*sinh(c+d*x)))],
[csch(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[csch(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],
[(e+f*x)^3*csch(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,24,-2*(e+f*x)^3/(a*d)+2*I*(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)-(e+f*x)^3*coth(c+d*x)/(a*d)+6*f*(e+f*x)^2*log(1+I*exp(c+d*x))/(a*d^2)+3*f*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a*d^2)+3*I*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)+12*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)-3*I*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)+3*f^2*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a*d^3)-6*I*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)-12*f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)+6*I*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)-3/2*f^3*polylog(3,exp(2*(c+d*x)))/(a*d^4)+6*I*f^3*polylog(4,-exp(c+d*x))/(a*d^4)-6*I*f^3*polylog(4,exp(c+d*x))/(a*d^4)-(e+f*x)^3*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)^2*csch(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,20,-2*(e+f*x)^2/(a*d)+2*I*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)-(e+f*x)^2*coth(c+d*x)/(a*d)+4*f*(e+f*x)*log(1+I*exp(c+d*x))/(a*d^2)+2*f*(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d^2)+2*I*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)+4*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)-2*I*f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+f^2*polylog(2,exp(2*(c+d*x)))/(a*d^3)-2*I*f^2*polylog(3,-exp(c+d*x))/(a*d^3)+2*I*f^2*polylog(3,exp(c+d*x))/(a*d^3)-(e+f*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)*csch(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,12,2*I*(e+f*x)*arctanh(exp(c+d*x))/(a*d)-(e+f*x)*coth(c+d*x)/(a*d)+2*f*log(cosh(1/2*c+1/4*I*Pi+1/2*d*x))/(a*d^2)+f*log(sinh(c+d*x))/(a*d^2)+I*f*polylog(2,-exp(c+d*x))/(a*d^2)-I*f*polylog(2,exp(c+d*x))/(a*d^2)-(e+f*x)*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[csch(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,5,I*arctanh(cosh(c+d*x))/(a*d)-2*coth(c+d*x)/(a*d)+coth(c+d*x)/(d*(a+I*a*sinh(c+d*x)))],
[csch(c+d*x)^2/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^2/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[csch(c+d*x)^2/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^2/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],
[(e+f*x)^3*csch(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,40,2*I*(e+f*x)^3/(a*d)-6*f^2*(e+f*x)*arctanh(exp(c+d*x))/(a*d^3)+3*(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)+I*(e+f*x)^3*coth(c+d*x)/(a*d)-3/2*f*(e+f*x)^2*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)^3*coth(c+d*x)*csch(c+d*x)/(a*d)-6*I*f*(e+f*x)^2*log(1+I*exp(c+d*x))/(a*d^2)-3*I*f*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a*d^2)-3*f^3*polylog(2,-exp(c+d*x))/(a*d^4)+9/2*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)-12*I*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)+3*f^3*polylog(2,exp(c+d*x))/(a*d^4)-9/2*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)-3*I*f^2*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a*d^3)-9*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)+12*I*f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)+9*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)+3/2*I*f^3*polylog(3,exp(2*(c+d*x)))/(a*d^4)+9*f^3*polylog(4,-exp(c+d*x))/(a*d^4)-9*f^3*polylog(4,exp(c+d*x))/(a*d^4)+I*(e+f*x)^3*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)^2*csch(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,30,2*I*(e+f*x)^2/(a*d)+3*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)-f^2*arctanh(cosh(c+d*x))/(a*d^3)+I*(e+f*x)^2*coth(c+d*x)/(a*d)-f*(e+f*x)*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)^2*coth(c+d*x)*csch(c+d*x)/(a*d)-4*I*f*(e+f*x)*log(1+I*exp(c+d*x))/(a*d^2)-2*I*f*(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d^2)+3*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)-4*I*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)-3*f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)-I*f^2*polylog(2,exp(2*(c+d*x)))/(a*d^3)-3*f^2*polylog(3,-exp(c+d*x))/(a*d^3)+3*f^2*polylog(3,exp(c+d*x))/(a*d^3)+I*(e+f*x)^2*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[(e+f*x)*csch(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,19,3*(e+f*x)*arctanh(exp(c+d*x))/(a*d)+I*(e+f*x)*coth(c+d*x)/(a*d)-1/2*f*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)*coth(c+d*x)*csch(c+d*x)/(a*d)-2*I*f*log(cosh(1/2*c+1/4*I*Pi+1/2*d*x))/(a*d^2)-I*f*log(sinh(c+d*x))/(a*d^2)+3/2*f*polylog(2,-exp(c+d*x))/(a*d^2)-3/2*f*polylog(2,exp(c+d*x))/(a*d^2)+I*(e+f*x)*tanh(1/2*c+1/4*I*Pi+1/2*d*x)/(a*d)],
[csch(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,6,3/2*arctanh(cosh(c+d*x))/(a*d)+2*I*coth(c+d*x)/(a*d)-3/2*coth(c+d*x)*csch(c+d*x)/(a*d)+coth(c+d*x)*csch(c+d*x)/(d*(a+I*a*sinh(c+d*x)))],
[csch(c+d*x)^3/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^3/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[csch(c+d*x)^3/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^3/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Sinh[c+d x]^n (a+b Sinh[c+d x])^p

# Integrands of the form (e+f x)^m Sinh[c+d x]^n / (a+b Sinh[c+d x])^1

# n>0
[(e+f*x)^3*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,14,1/4*(e+f*x)^4/(b*f)-a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d*sqrt(a^2+b^2))+a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d*sqrt(a^2+b^2))-3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-6*a*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^4*sqrt(a^2+b^2))+6*a*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^4*sqrt(a^2+b^2))],
[(e+f*x)^2*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,12,1/3*(e+f*x)^3/(b*f)-a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d*sqrt(a^2+b^2))+a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d*sqrt(a^2+b^2))-2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+2*a*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-2*a*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))],
[(e+f*x)*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,10,e*x/b+1/2*f*x^2/b-a*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d*sqrt(a^2+b^2))+a*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d*sqrt(a^2+b^2))-a*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+a*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))],
[sinh(c+d*x)/(a+b*sinh(c+d*x)),x,4,x/b+2*a*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b*d*sqrt(a^2+b^2))],
[sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,19,-1/4*a*(e+f*x)^4/(b^2*f)+6*f^2*(e+f*x)*cosh(c+d*x)/(b*d^3)+(e+f*x)^3*cosh(c+d*x)/(b*d)-6*f^3*sinh(c+d*x)/(b*d^4)-3*f*(e+f*x)^2*sinh(c+d*x)/(b*d^2)+a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d*sqrt(a^2+b^2))-a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d*sqrt(a^2+b^2))+3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^2*sqrt(a^2+b^2))-3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^2*sqrt(a^2+b^2))-6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^3*sqrt(a^2+b^2))+6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^3*sqrt(a^2+b^2))+6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^4*sqrt(a^2+b^2))-6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^4*sqrt(a^2+b^2))],
[(e+f*x)^2*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,16,-1/3*a*(e+f*x)^3/(b^2*f)+2*f^2*cosh(c+d*x)/(b*d^3)+(e+f*x)^2*cosh(c+d*x)/(b*d)-2*f*(e+f*x)*sinh(c+d*x)/(b*d^2)+a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d*sqrt(a^2+b^2))-a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d*sqrt(a^2+b^2))+2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^2*sqrt(a^2+b^2))-2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^2*sqrt(a^2+b^2))-2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^3*sqrt(a^2+b^2))+2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^3*sqrt(a^2+b^2))],
[(e+f*x)*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,13,-a*e*x/b^2-1/2*a*f*x^2/b^2+(e+f*x)*cosh(c+d*x)/(b*d)-f*sinh(c+d*x)/(b*d^2)+a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d*sqrt(a^2+b^2))-a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d*sqrt(a^2+b^2))+a^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^2*sqrt(a^2+b^2))-a^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^2*sqrt(a^2+b^2))],
[sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,6,-a*x/b^2+cosh(c+d*x)/(b*d)-2*a^2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b^2*d*sqrt(a^2+b^2))],
[sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,24,-3/4*e*f^2*x/(b*d^2)-3/8*f^3*x^2/(b*d^2)+1/4*a^2*(e+f*x)^4/(b^3*f)-1/8*(e+f*x)^4/(b*f)-6*a*f^2*(e+f*x)*cosh(c+d*x)/(b^2*d^3)-a*(e+f*x)^3*cosh(c+d*x)/(b^2*d)+6*a*f^3*sinh(c+d*x)/(b^2*d^4)+3*a*f*(e+f*x)^2*sinh(c+d*x)/(b^2*d^2)+3/4*f^2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b*d^3)+1/2*(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)/(b*d)-3/8*f^3*sinh(c+d*x)^2/(b*d^4)-3/4*f*(e+f*x)^2*sinh(c+d*x)^2/(b*d^2)-a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d*sqrt(a^2+b^2))+a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d*sqrt(a^2+b^2))-3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2*sqrt(a^2+b^2))+3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2*sqrt(a^2+b^2))+6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^3*sqrt(a^2+b^2))-6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^3*sqrt(a^2+b^2))-6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^4*sqrt(a^2+b^2))+6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^4*sqrt(a^2+b^2))],
[(e+f*x)^2*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,21,-1/4*f^2*x/(b*d^2)+1/3*a^2*(e+f*x)^3/(b^3*f)-1/6*(e+f*x)^3/(b*f)-2*a*f^2*cosh(c+d*x)/(b^2*d^3)-a*(e+f*x)^2*cosh(c+d*x)/(b^2*d)+2*a*f*(e+f*x)*sinh(c+d*x)/(b^2*d^2)+1/4*f^2*cosh(c+d*x)*sinh(c+d*x)/(b*d^3)+1/2*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b*d)-1/2*f*(e+f*x)*sinh(c+d*x)^2/(b*d^2)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d*sqrt(a^2+b^2))+a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d*sqrt(a^2+b^2))-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2*sqrt(a^2+b^2))+2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2*sqrt(a^2+b^2))+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^3*sqrt(a^2+b^2))-2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^3*sqrt(a^2+b^2))],
[(e+f*x)*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,16,a^2*e*x/b^3-1/2*e*x/b+1/2*a^2*f*x^2/b^3-1/4*f*x^2/b-a*(e+f*x)*cosh(c+d*x)/(b^2*d)+a*f*sinh(c+d*x)/(b^2*d^2)+1/2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b*d)-1/4*f*sinh(c+d*x)^2/(b*d^2)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d*sqrt(a^2+b^2))+a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d*sqrt(a^2+b^2))-a^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2*sqrt(a^2+b^2))+a^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2*sqrt(a^2+b^2))],
[sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,6,1/2*(2*a^2-b^2)*x/b^3-a*cosh(c+d*x)/(b^2*d)+1/2*cosh(c+d*x)*sinh(c+d*x)/(b*d)+2*a^3*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b^3*d*sqrt(a^2+b^2))],
[sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*csch(c+d*x)/(a+b*sinh(c+d*x)),x,22,-2*(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)-3*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)+3*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)+6*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)-6*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)-6*f^3*polylog(4,-exp(c+d*x))/(a*d^4)+6*f^3*polylog(4,exp(c+d*x))/(a*d^4)-b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d*sqrt(a^2+b^2))+b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d*sqrt(a^2+b^2))-3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^2*sqrt(a^2+b^2))+3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^2*sqrt(a^2+b^2))+6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^3*sqrt(a^2+b^2))-6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^3*sqrt(a^2+b^2))-6*b*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^4*sqrt(a^2+b^2))+6*b*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^4*sqrt(a^2+b^2))],
[(e+f*x)^2*csch(c+d*x)/(a+b*sinh(c+d*x)),x,18,-2*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)-2*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)+2*f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+2*f^2*polylog(3,-exp(c+d*x))/(a*d^3)-2*f^2*polylog(3,exp(c+d*x))/(a*d^3)-b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d*sqrt(a^2+b^2))+b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d*sqrt(a^2+b^2))-2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^2*sqrt(a^2+b^2))+2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^2*sqrt(a^2+b^2))+2*b*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^3*sqrt(a^2+b^2))-2*b*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^3*sqrt(a^2+b^2))],
[(e+f*x)*csch(c+d*x)/(a+b*sinh(c+d*x)),x,14,-2*(e+f*x)*arctanh(exp(c+d*x))/(a*d)-f*polylog(2,-exp(c+d*x))/(a*d^2)+f*polylog(2,exp(c+d*x))/(a*d^2)-b*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d*sqrt(a^2+b^2))+b*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d*sqrt(a^2+b^2))-b*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^2*sqrt(a^2+b^2))+b*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^2*sqrt(a^2+b^2))],
[csch(c+d*x)/(a+b*sinh(c+d*x)),x,5,-arctanh(cosh(c+d*x))/(a*d)+2*b*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(a*d*sqrt(a^2+b^2))],
[csch(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,29,-(e+f*x)^3/(a*d)+2*b*(e+f*x)^3*arctanh(exp(c+d*x))/(a^2*d)-(e+f*x)^3*coth(c+d*x)/(a*d)+3*f*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a*d^2)+3*b*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a^2*d^2)-3*b*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a^2*d^2)+3*f^2*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a*d^3)-6*b*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a^2*d^3)+6*b*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a^2*d^3)-3/2*f^3*polylog(3,exp(2*(c+d*x)))/(a*d^4)+6*b*f^3*polylog(4,-exp(c+d*x))/(a^2*d^4)-6*b*f^3*polylog(4,exp(c+d*x))/(a^2*d^4)+b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d*sqrt(a^2+b^2))-b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d*sqrt(a^2+b^2))+3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^2*sqrt(a^2+b^2))-3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^2*sqrt(a^2+b^2))-6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^3*sqrt(a^2+b^2))+6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^3*sqrt(a^2+b^2))+6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^4*sqrt(a^2+b^2))-6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^4*sqrt(a^2+b^2))],
[(e+f*x)^2*csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,24,-(e+f*x)^2/(a*d)+2*b*(e+f*x)^2*arctanh(exp(c+d*x))/(a^2*d)-(e+f*x)^2*coth(c+d*x)/(a*d)+2*f*(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d^2)+2*b*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a^2*d^2)-2*b*f*(e+f*x)*polylog(2,exp(c+d*x))/(a^2*d^2)+f^2*polylog(2,exp(2*(c+d*x)))/(a*d^3)-2*b*f^2*polylog(3,-exp(c+d*x))/(a^2*d^3)+2*b*f^2*polylog(3,exp(c+d*x))/(a^2*d^3)+b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d*sqrt(a^2+b^2))-b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d*sqrt(a^2+b^2))+2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^2*sqrt(a^2+b^2))-2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^2*sqrt(a^2+b^2))-2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^3*sqrt(a^2+b^2))+2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^3*sqrt(a^2+b^2))],
[(e+f*x)*csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,17,2*b*(e+f*x)*arctanh(exp(c+d*x))/(a^2*d)-(e+f*x)*coth(c+d*x)/(a*d)+f*log(sinh(c+d*x))/(a*d^2)+b*f*polylog(2,-exp(c+d*x))/(a^2*d^2)-b*f*polylog(2,exp(c+d*x))/(a^2*d^2)+b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d*sqrt(a^2+b^2))-b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d*sqrt(a^2+b^2))+b^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^2*sqrt(a^2+b^2))-b^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^2*sqrt(a^2+b^2))],
[csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,7,b*arctanh(cosh(c+d*x))/(a^2*d)-coth(c+d*x)/(a*d)-2*b^2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(a^2*d*sqrt(a^2+b^2))],
[csch(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*csch(c+d*x)^3/(a+b*sinh(c+d*x)),x,45,b*(e+f*x)^3/(a^2*d)-6*f^2*(e+f*x)*arctanh(exp(c+d*x))/(a*d^3)+(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)-2*b^2*(e+f*x)^3*arctanh(exp(c+d*x))/(a^3*d)+b*(e+f*x)^3*coth(c+d*x)/(a^2*d)-3/2*f*(e+f*x)^2*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)^3*coth(c+d*x)*csch(c+d*x)/(a*d)-3*b*f*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a^2*d^2)-3*f^3*polylog(2,-exp(c+d*x))/(a*d^4)+3/2*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)-3*b^2*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a^3*d^2)+3*f^3*polylog(2,exp(c+d*x))/(a*d^4)-3/2*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)+3*b^2*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a^3*d^2)-3*b*f^2*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a^2*d^3)-3*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)+6*b^2*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a^3*d^3)+3*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)-6*b^2*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a^3*d^3)+3/2*b*f^3*polylog(3,exp(2*(c+d*x)))/(a^2*d^4)+3*f^3*polylog(4,-exp(c+d*x))/(a*d^4)-6*b^2*f^3*polylog(4,-exp(c+d*x))/(a^3*d^4)-3*f^3*polylog(4,exp(c+d*x))/(a*d^4)+6*b^2*f^3*polylog(4,exp(c+d*x))/(a^3*d^4)-b^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d*sqrt(a^2+b^2))+b^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d*sqrt(a^2+b^2))-3*b^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2*sqrt(a^2+b^2))+3*b^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2*sqrt(a^2+b^2))+6*b^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^3*sqrt(a^2+b^2))-6*b^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^3*sqrt(a^2+b^2))-6*b^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^4*sqrt(a^2+b^2))+6*b^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^4*sqrt(a^2+b^2))],
[(e+f*x)^2*csch(c+d*x)^3/(a+b*sinh(c+d*x)),x,34,b*(e+f*x)^2/(a^2*d)+(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)-2*b^2*(e+f*x)^2*arctanh(exp(c+d*x))/(a^3*d)-f^2*arctanh(cosh(c+d*x))/(a*d^3)+b*(e+f*x)^2*coth(c+d*x)/(a^2*d)-f*(e+f*x)*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)^2*coth(c+d*x)*csch(c+d*x)/(a*d)-2*b*f*(e+f*x)*log(1-exp(2*(c+d*x)))/(a^2*d^2)+f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)-2*b^2*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a^3*d^2)-f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+2*b^2*f*(e+f*x)*polylog(2,exp(c+d*x))/(a^3*d^2)-b*f^2*polylog(2,exp(2*(c+d*x)))/(a^2*d^3)-f^2*polylog(3,-exp(c+d*x))/(a*d^3)+2*b^2*f^2*polylog(3,-exp(c+d*x))/(a^3*d^3)+f^2*polylog(3,exp(c+d*x))/(a*d^3)-2*b^2*f^2*polylog(3,exp(c+d*x))/(a^3*d^3)-b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d*sqrt(a^2+b^2))+b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d*sqrt(a^2+b^2))-2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2*sqrt(a^2+b^2))+2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2*sqrt(a^2+b^2))+2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^3*sqrt(a^2+b^2))-2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^3*sqrt(a^2+b^2))],
[(e+f*x)*csch(c+d*x)^3/(a+b*sinh(c+d*x)),x,24,(e+f*x)*arctanh(exp(c+d*x))/(a*d)-2*b^2*(e+f*x)*arctanh(exp(c+d*x))/(a^3*d)+b*(e+f*x)*coth(c+d*x)/(a^2*d)-1/2*f*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)*coth(c+d*x)*csch(c+d*x)/(a*d)-b*f*log(sinh(c+d*x))/(a^2*d^2)+1/2*f*polylog(2,-exp(c+d*x))/(a*d^2)-b^2*f*polylog(2,-exp(c+d*x))/(a^3*d^2)-1/2*f*polylog(2,exp(c+d*x))/(a*d^2)+b^2*f*polylog(2,exp(c+d*x))/(a^3*d^2)-b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d*sqrt(a^2+b^2))+b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d*sqrt(a^2+b^2))-b^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2*sqrt(a^2+b^2))+b^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2*sqrt(a^2+b^2))],
[csch(c+d*x)^3/(a+b*sinh(c+d*x)),x,7,1/2*(a^2-2*b^2)*arctanh(cosh(c+d*x))/(a^3*d)+b*coth(c+d*x)/(a^2*d)-1/2*coth(c+d*x)*csch(c+d*x)/(a*d)+2*b^3*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(a^3*d*sqrt(a^2+b^2))],
[csch(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Sinh[c+d x]^n / (a+b Sinh[c+d x])^2

# Integrands of the form (e+f x)^m Cosh[c+d x]^n (a+b Sinh[c+d x])^p

# Integrands of the form (e+f x)^m Cosh[c+d x]^n (a+b Sinh[c+d x])^p with a^2+b^2=0

# Integrands of the form (e+f x)^m Cosh[c+d x]^n / (a+a Sinh[c+d x])

# n>0
[(e+f*x)^3*cosh(c+d*x)/(a+I*a*sinh(c+d*x)),x,6,1/4*I*(e+f*x)^4/(a*f)-2*I*(e+f*x)^3*log(1+I*exp(c+d*x))/(a*d)-6*I*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(a*d^2)+12*I*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(a*d^3)-12*I*f^3*polylog(4,-I*exp(c+d*x))/(a*d^4)],
[(e+f*x)^2*cosh(c+d*x)/(a+I*a*sinh(c+d*x)),x,5,1/3*I*(e+f*x)^3/(a*f)-2*I*(e+f*x)^2*log(1+I*exp(c+d*x))/(a*d)-4*I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^2)+4*I*f^2*polylog(3,-I*exp(c+d*x))/(a*d^3)],
[(e+f*x)*cosh(c+d*x)/(a+I*a*sinh(c+d*x)),x,4,1/2*I*(e+f*x)^2/(a*f)-2*I*(e+f*x)*log(1+I*exp(c+d*x))/(a*d)-2*I*f*polylog(2,-I*exp(c+d*x))/(a*d^2)],
[cosh(c+d*x)/(a+I*a*sinh(c+d*x)),x,2,-I*log(I-sinh(c+d*x))/(a*d)],
[cosh(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[cosh(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,6,1/4*(e+f*x)^4/(a*f)-6*I*f^2*(e+f*x)*cosh(c+d*x)/(a*d^3)-I*(e+f*x)^3*cosh(c+d*x)/(a*d)+6*I*f^3*sinh(c+d*x)/(a*d^4)+3*I*f*(e+f*x)^2*sinh(c+d*x)/(a*d^2)],
[(e+f*x)^2*cosh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,5,1/3*(e+f*x)^3/(a*f)-2*I*f^2*cosh(c+d*x)/(a*d^3)-I*(e+f*x)^2*cosh(c+d*x)/(a*d)+2*I*f*(e+f*x)*sinh(c+d*x)/(a*d^2)],
[(e+f*x)*cosh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,4,e*x/a+1/2*f*x^2/a-I*(e+f*x)*cosh(c+d*x)/(a*d)+I*f*sinh(c+d*x)/(a*d^2)],
[cosh(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,2,x/a-I*cosh(c+d*x)/(a*d)],
[cosh(c+d*x)^2/((e+f*x)*(a+I*a*sinh(c+d*x))),x,5,log(e+f*x)/(a*f)-I*cosh(c-d*e/f)*Shi(d*e/f+d*x)/(a*f)-I*Chi(d*e/f+d*x)*sinh(c-d*e/f)/(a*f)],
[cosh(c+d*x)^2/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,6,(-1)/(a*f*(e+f*x))-I*d*Chi(d*e/f+d*x)*cosh(c-d*e/f)/(a*f^2)-I*d*Shi(d*e/f+d*x)*sinh(c-d*e/f)/(a*f^2)+I*sinh(c+d*x)/(a*f*(e+f*x))],
[(e+f*x)^3*cosh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,10,-3/8*I*f^3*x/(a*d^3)-1/4*I*(e+f*x)^3/(a*d)-6*f^3*cosh(c+d*x)/(a*d^4)-3*f*(e+f*x)^2*cosh(c+d*x)/(a*d^2)+6*f^2*(e+f*x)*sinh(c+d*x)/(a*d^3)+(e+f*x)^3*sinh(c+d*x)/(a*d)+3/8*I*f^3*cosh(c+d*x)*sinh(c+d*x)/(a*d^4)+3/4*I*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(a*d^2)-3/4*I*f^2*(e+f*x)*sinh(c+d*x)^2/(a*d^3)-1/2*I*(e+f*x)^3*sinh(c+d*x)^2/(a*d)],
[(e+f*x)^2*cosh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,7,-1/2*I*e*f*x/(a*d)-1/4*I*f^2*x^2/(a*d)-2*f*(e+f*x)*cosh(c+d*x)/(a*d^2)+2*f^2*sinh(c+d*x)/(a*d^3)+(e+f*x)^2*sinh(c+d*x)/(a*d)+1/2*I*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(a*d^2)-1/4*I*f^2*sinh(c+d*x)^2/(a*d^3)-1/2*I*(e+f*x)^2*sinh(c+d*x)^2/(a*d)],
[(e+f*x)*cosh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,6,-1/4*I*f*x/(a*d)-f*cosh(c+d*x)/(a*d^2)+(e+f*x)*sinh(c+d*x)/(a*d)+1/4*I*f*cosh(c+d*x)*sinh(c+d*x)/(a*d^2)-1/2*I*(e+f*x)*sinh(c+d*x)^2/(a*d)],
[cosh(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,2,sinh(c+d*x)/(a*d)-1/2*I*sinh(c+d*x)^2/(a*d)],
[cosh(c+d*x)^3/((e+f*x)*(a+I*a*sinh(c+d*x))),x,9,Chi(d*e/f+d*x)*cosh(c-d*e/f)/(a*f)-1/2*I*cosh(2*c-2*d*e/f)*Shi(2*d*e/f+2*d*x)/(a*f)-1/2*I*Chi(2*d*e/f+2*d*x)*sinh(2*c-2*d*e/f)/(a*f)+Shi(d*e/f+d*x)*sinh(c-d*e/f)/(a*f)],
[cosh(c+d*x)^3/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,11,-I*d*Chi(2*d*e/f+2*d*x)*cosh(2*c-2*d*e/f)/(a*f^2)-cosh(c+d*x)/(a*f*(e+f*x))+d*cosh(c-d*e/f)*Shi(d*e/f+d*x)/(a*f^2)-I*d*Shi(2*d*e/f+2*d*x)*sinh(2*c-2*d*e/f)/(a*f^2)+d*Chi(d*e/f+d*x)*sinh(c-d*e/f)/(a*f^2)+1/2*I*sinh(2*c+2*d*x)/(a*f*(e+f*x))],

# n<0
[(e+f*x)^3*sech(c+d*x)/(a+I*a*sinh(c+d*x)),x,22,-3/2*I*f*(e+f*x)^2/(a*d^2)-6*f^2*(e+f*x)*arctan(exp(c+d*x))/(a*d^3)+(e+f*x)^3*arctan(exp(c+d*x))/(a*d)+3*I*f^2*(e+f*x)*log(1+exp(2*(c+d*x)))/(a*d^3)+3*I*f^3*polylog(2,-I*exp(c+d*x))/(a*d^4)-3/2*I*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(a*d^2)-3*I*f^3*polylog(2,I*exp(c+d*x))/(a*d^4)+3/2*I*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(a*d^2)+3/2*I*f^3*polylog(2,-exp(2*(c+d*x)))/(a*d^4)+3*I*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(a*d^3)-3*I*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(a*d^3)-3*I*f^3*polylog(4,-I*exp(c+d*x))/(a*d^4)+3*I*f^3*polylog(4,I*exp(c+d*x))/(a*d^4)+3/2*f*(e+f*x)^2*sech(c+d*x)/(a*d^2)+1/2*I*(e+f*x)^3*sech(c+d*x)^2/(a*d)-3/2*I*f*(e+f*x)^2*tanh(c+d*x)/(a*d^2)+1/2*(e+f*x)^3*sech(c+d*x)*tanh(c+d*x)/(a*d)],
[(e+f*x)^2*sech(c+d*x)/(a+I*a*sinh(c+d*x)),x,13,(e+f*x)^2*arctan(exp(c+d*x))/(a*d)-f^2*arctan(sinh(c+d*x))/(a*d^3)+I*f^2*log(cosh(c+d*x))/(a*d^3)-I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^2)+I*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(a*d^2)+I*f^2*polylog(3,-I*exp(c+d*x))/(a*d^3)-I*f^2*polylog(3,I*exp(c+d*x))/(a*d^3)+f*(e+f*x)*sech(c+d*x)/(a*d^2)+1/2*I*(e+f*x)^2*sech(c+d*x)^2/(a*d)-I*f*(e+f*x)*tanh(c+d*x)/(a*d^2)+1/2*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(a*d)],
[(e+f*x)*sech(c+d*x)/(a+I*a*sinh(c+d*x)),x,10,(e+f*x)*arctan(exp(c+d*x))/(a*d)-1/2*I*f*polylog(2,-I*exp(c+d*x))/(a*d^2)+1/2*I*f*polylog(2,I*exp(c+d*x))/(a*d^2)+1/2*f*sech(c+d*x)/(a*d^2)+1/2*I*(e+f*x)*sech(c+d*x)^2/(a*d)-1/2*I*f*tanh(c+d*x)/(a*d^2)+1/2*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(a*d)],
[sech(c+d*x)/(a+I*a*sinh(c+d*x)),x,4,1/2*arctan(sinh(c+d*x))/(a*d)+1/2*I/(d*(a+I*a*sinh(c+d*x)))],
[sech(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[sech(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],
[(e+f*x)^3*sech(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,20,2/3*(e+f*x)^3/(a*d)-I*f*(e+f*x)^2*arctan(exp(c+d*x))/(a*d^2)+I*f^3*arctan(sinh(c+d*x))/(a*d^4)-2*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(a*d^2)+f^3*log(cosh(c+d*x))/(a*d^4)-f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)+f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/(a*d^3)-2*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(a*d^3)+f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)-f^3*polylog(3,I*exp(c+d*x))/(a*d^4)+f^3*polylog(3,-exp(2*(c+d*x)))/(a*d^4)-I*f^2*(e+f*x)*sech(c+d*x)/(a*d^3)+1/2*f*(e+f*x)^2*sech(c+d*x)^2/(a*d^2)+1/3*I*(e+f*x)^3*sech(c+d*x)^3/(a*d)-f^2*(e+f*x)*tanh(c+d*x)/(a*d^3)+2/3*(e+f*x)^3*tanh(c+d*x)/(a*d)-1/2*I*f*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(a*d^2)+1/3*(e+f*x)^3*sech(c+d*x)^2*tanh(c+d*x)/(a*d)],
[(e+f*x)^2*sech(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,16,2/3*(e+f*x)^2/(a*d)-2/3*I*f*(e+f*x)*arctan(exp(c+d*x))/(a*d^2)-4/3*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(a*d^2)-1/3*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)+1/3*f^2*polylog(2,I*exp(c+d*x))/(a*d^3)-2/3*f^2*polylog(2,-exp(2*(c+d*x)))/(a*d^3)-1/3*I*f^2*sech(c+d*x)/(a*d^3)+1/3*f*(e+f*x)*sech(c+d*x)^2/(a*d^2)+1/3*I*(e+f*x)^2*sech(c+d*x)^3/(a*d)-1/3*f^2*tanh(c+d*x)/(a*d^3)+2/3*(e+f*x)^2*tanh(c+d*x)/(a*d)-1/3*I*f*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(a*d^2)+1/3*(e+f*x)^2*sech(c+d*x)^2*tanh(c+d*x)/(a*d)],
[(e+f*x)*sech(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,7,-1/6*I*f*arctan(sinh(c+d*x))/(a*d^2)-2/3*f*log(cosh(c+d*x))/(a*d^2)+1/6*f*sech(c+d*x)^2/(a*d^2)+1/3*I*(e+f*x)*sech(c+d*x)^3/(a*d)+2/3*(e+f*x)*tanh(c+d*x)/(a*d)-1/6*I*f*sech(c+d*x)*tanh(c+d*x)/(a*d^2)+1/3*(e+f*x)*sech(c+d*x)^2*tanh(c+d*x)/(a*d)],
[sech(c+d*x)^2/(a+I*a*sinh(c+d*x)),x,3,1/3*I*sech(c+d*x)/(d*(a+I*a*sinh(c+d*x)))+2/3*tanh(c+d*x)/(a*d)],
[sech(c+d*x)^2/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)^2/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[sech(c+d*x)^2/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)^2/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],
[(e+f*x)^3*sech(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,32,-1/2*I*f*(e+f*x)^2/(a*d^2)-5*f^2*(e+f*x)*arctan(exp(c+d*x))/(a*d^3)+3/4*(e+f*x)^3*arctan(exp(c+d*x))/(a*d)+I*f^2*(e+f*x)*log(1+exp(2*(c+d*x)))/(a*d^3)+5/2*I*f^3*polylog(2,-I*exp(c+d*x))/(a*d^4)-9/8*I*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(a*d^2)-5/2*I*f^3*polylog(2,I*exp(c+d*x))/(a*d^4)+9/8*I*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(a*d^2)+1/2*I*f^3*polylog(2,-exp(2*(c+d*x)))/(a*d^4)+9/4*I*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(a*d^3)-9/4*I*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(a*d^3)-9/4*I*f^3*polylog(4,-I*exp(c+d*x))/(a*d^4)+9/4*I*f^3*polylog(4,I*exp(c+d*x))/(a*d^4)-1/4*f^3*sech(c+d*x)/(a*d^4)+9/8*f*(e+f*x)^2*sech(c+d*x)/(a*d^2)-1/4*I*f^2*(e+f*x)*sech(c+d*x)^2/(a*d^3)+1/4*f*(e+f*x)^2*sech(c+d*x)^3/(a*d^2)+1/4*I*(e+f*x)^3*sech(c+d*x)^4/(a*d)+1/4*I*f^3*tanh(c+d*x)/(a*d^4)-1/2*I*f*(e+f*x)^2*tanh(c+d*x)/(a*d^2)-1/4*f^2*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(a*d^3)+3/8*(e+f*x)^3*sech(c+d*x)*tanh(c+d*x)/(a*d)-1/4*I*f*(e+f*x)^2*sech(c+d*x)^2*tanh(c+d*x)/(a*d^2)+1/4*(e+f*x)^3*sech(c+d*x)^3*tanh(c+d*x)/(a*d)],
[(e+f*x)^2*sech(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,17,3/4*(e+f*x)^2*arctan(exp(c+d*x))/(a*d)-5/6*f^2*arctan(sinh(c+d*x))/(a*d^3)+1/3*I*f^2*log(cosh(c+d*x))/(a*d^3)-3/4*I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^2)+3/4*I*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(a*d^2)+3/4*I*f^2*polylog(3,-I*exp(c+d*x))/(a*d^3)-3/4*I*f^2*polylog(3,I*exp(c+d*x))/(a*d^3)+3/4*f*(e+f*x)*sech(c+d*x)/(a*d^2)-1/12*I*f^2*sech(c+d*x)^2/(a*d^3)+1/6*f*(e+f*x)*sech(c+d*x)^3/(a*d^2)+1/4*I*(e+f*x)^2*sech(c+d*x)^4/(a*d)-1/3*I*f*(e+f*x)*tanh(c+d*x)/(a*d^2)-1/12*f^2*sech(c+d*x)*tanh(c+d*x)/(a*d^3)+3/8*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(a*d)-1/6*I*f*(e+f*x)*sech(c+d*x)^2*tanh(c+d*x)/(a*d^2)+1/4*(e+f*x)^2*sech(c+d*x)^3*tanh(c+d*x)/(a*d)],
[(e+f*x)*sech(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,11,3/4*(e+f*x)*arctan(exp(c+d*x))/(a*d)-3/8*I*f*polylog(2,-I*exp(c+d*x))/(a*d^2)+3/8*I*f*polylog(2,I*exp(c+d*x))/(a*d^2)+3/8*f*sech(c+d*x)/(a*d^2)+1/12*f*sech(c+d*x)^3/(a*d^2)+1/4*I*(e+f*x)*sech(c+d*x)^4/(a*d)-1/4*I*f*tanh(c+d*x)/(a*d^2)+3/8*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(a*d)+1/4*(e+f*x)*sech(c+d*x)^3*tanh(c+d*x)/(a*d)+1/12*I*f*tanh(c+d*x)^3/(a*d^2)],
[sech(c+d*x)^3/(a+I*a*sinh(c+d*x)),x,4,3/8*arctan(sinh(c+d*x))/(a*d)+(-1/8*I)/(d*(a-I*a*sinh(c+d*x)))+1/8*I*a/(d*(a+I*a*sinh(c+d*x))^2)+1/4*I/(d*(a+I*a*sinh(c+d*x)))],
[sech(c+d*x)^3/((e+f*x)*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)^3/((e+f*x)*(a+I*a*sinh(c+d*x))),x)],
[sech(c+d*x)^3/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)^3/((e+f*x)^2*(a+I*a*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Cosh[c+d x]^n (a+b Sinh[c+d x])^p

# Integrands of the form (e+f x)^m Cosh[c+d x]^n / (a+b Sinh[c+d x])^1

# n>0
[(e+f*x)^3*cosh(c+d*x)/(a+b*sinh(c+d*x)),x,11,-1/4*(e+f*x)^4/(b*f)+(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d)+(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d)+3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2)+3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2)-6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3)-6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3)+6*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^4)+6*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^4)],
[(e+f*x)^2*cosh(c+d*x)/(a+b*sinh(c+d*x)),x,9,-1/3*(e+f*x)^3/(b*f)+(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d)+(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d)+2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2)+2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2)-2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3)-2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3)],
[(e+f*x)*cosh(c+d*x)/(a+b*sinh(c+d*x)),x,7,-1/2*(e+f*x)^2/(b*f)+(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d)+(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d)+f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2)+f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2)],
[cosh(c+d*x)/(a+b*sinh(c+d*x)),x,2,log(a+b*sinh(c+d*x))/(b*d)],
[cosh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^2/(a+b*sinh(c+d*x)),x,18,-1/4*a*(e+f*x)^4/(b^2*f)+6*f^2*(e+f*x)*cosh(c+d*x)/(b*d^3)+(e+f*x)^3*cosh(c+d*x)/(b*d)-6*f^3*sinh(c+d*x)/(b*d^4)-3*f*(e+f*x)^2*sinh(c+d*x)/(b*d^2)+(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d)-(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d)+3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^2)-3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^2)-6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^3)+6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^3)+6*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^4)-6*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^4)],
[(e+f*x)^2*cosh(c+d*x)^2/(a+b*sinh(c+d*x)),x,15,-1/3*a*(e+f*x)^3/(b^2*f)+2*f^2*cosh(c+d*x)/(b*d^3)+(e+f*x)^2*cosh(c+d*x)/(b*d)-2*f*(e+f*x)*sinh(c+d*x)/(b*d^2)+(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d)-(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d)+2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^2)-2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^2)-2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^3)+2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^3)],
[(e+f*x)*cosh(c+d*x)^2/(a+b*sinh(c+d*x)),x,12,-a*e*x/b^2-1/2*a*f*x^2/b^2+(e+f*x)*cosh(c+d*x)/(b*d)-f*sinh(c+d*x)/(b*d^2)+(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d)-(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d)+f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^2)-f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^2*d^2)],
[cosh(c+d*x)^2/(a+b*sinh(c+d*x)),x,5,-a*x/b^2+cosh(c+d*x)/(b*d)-2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))*sqrt(a^2+b^2)/(b^2*d)],
[cosh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^3/(a+b*sinh(c+d*x)),x,21,3/8*f^3*x/(b*d^3)+1/4*(e+f*x)^3/(b*d)-1/4*(a^2+b^2)*(e+f*x)^4/(b^3*f)+6*a*f^3*cosh(c+d*x)/(b^2*d^4)+3*a*f*(e+f*x)^2*cosh(c+d*x)/(b^2*d^2)+(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d)+(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d)+3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2)+3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2)-6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^3)-6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^3)+6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^4)+6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^4)-6*a*f^2*(e+f*x)*sinh(c+d*x)/(b^2*d^3)-a*(e+f*x)^3*sinh(c+d*x)/(b^2*d)-3/8*f^3*cosh(c+d*x)*sinh(c+d*x)/(b*d^4)-3/4*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)+3/4*f^2*(e+f*x)*sinh(c+d*x)^2/(b*d^3)+1/2*(e+f*x)^3*sinh(c+d*x)^2/(b*d)],
[(e+f*x)^2*cosh(c+d*x)^3/(a+b*sinh(c+d*x)),x,16,1/2*e*f*x/(b*d)+1/4*f^2*x^2/(b*d)-1/3*(a^2+b^2)*(e+f*x)^3/(b^3*f)+2*a*f*(e+f*x)*cosh(c+d*x)/(b^2*d^2)+(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d)+(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d)+2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2)+2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2)-2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^3)-2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^3)-2*a*f^2*sinh(c+d*x)/(b^2*d^3)-a*(e+f*x)^2*sinh(c+d*x)/(b^2*d)-1/2*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)+1/4*f^2*sinh(c+d*x)^2/(b*d^3)+1/2*(e+f*x)^2*sinh(c+d*x)^2/(b*d)],
[(e+f*x)*cosh(c+d*x)^3/(a+b*sinh(c+d*x)),x,13,1/4*f*x/(b*d)-1/2*(a^2+b^2)*(e+f*x)^2/(b^3*f)+a*f*cosh(c+d*x)/(b^2*d^2)+(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d)+(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d)+(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2)+(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2)-a*(e+f*x)*sinh(c+d*x)/(b^2*d)-1/4*f*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)+1/2*(e+f*x)*sinh(c+d*x)^2/(b*d)],
[cosh(c+d*x)^3/(a+b*sinh(c+d*x)),x,3,(a^2+b^2)*log(a+b*sinh(c+d*x))/(b^3*d)-a*sinh(c+d*x)/(b^2*d)+1/2*sinh(c+d*x)^2/(b*d)],
[cosh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*sech(c+d*x)/(a+b*sinh(c+d*x)),x,29,2*a*(e+f*x)^3*arctan(exp(c+d*x))/((a^2+b^2)*d)-b*(e+f*x)^3*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d)+b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d)+b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d)-3*I*a*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)+3*I*a*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)-3/2*b*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^2)+3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^2)+3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^2)+6*I*a*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^3)-6*I*a*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^3)+3/2*b*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)-6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^3)-6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^3)-6*I*a*f^3*polylog(4,-I*exp(c+d*x))/((a^2+b^2)*d^4)+6*I*a*f^3*polylog(4,I*exp(c+d*x))/((a^2+b^2)*d^4)-3/4*b*f^3*polylog(4,-exp(2*(c+d*x)))/((a^2+b^2)*d^4)+6*b*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^4)+6*b*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^4)],
[(e+f*x)^2*sech(c+d*x)/(a+b*sinh(c+d*x)),x,24,2*a*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)*d)-b*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d)+b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d)+b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d)-2*I*a*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)+2*I*a*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)-b*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^2)+2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^2)+2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^2)+2*I*a*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^3)-2*I*a*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^3)+1/2*b*f^2*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)-2*b*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^3)-2*b*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^3)],
[(e+f*x)*sech(c+d*x)/(a+b*sinh(c+d*x)),x,19,2*a*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)*d)-b*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d)+b*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d)+b*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d)-I*a*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)+I*a*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)-1/2*b*f*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^2)+b*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^2)+b*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^2)],
[sech(c+d*x)/(a+b*sinh(c+d*x)),x,6,a*arctan(sinh(c+d*x))/((a^2+b^2)*d)-b*log(cosh(c+d*x))/((a^2+b^2)*d)+b*log(a+b*sinh(c+d*x))/((a^2+b^2)*d)],
[sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,29,a*(e+f*x)^3/((a^2+b^2)*d)-6*b*f*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)*d^2)-3*a*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d^2)+b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+6*I*b*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^3)-6*I*b*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^3)-3*a*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)+3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-6*I*b*f^3*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^4)+6*I*b*f^3*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^4)+3/2*a*f^3*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)*d^4)-6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)+6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)+6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^4)-6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^4)+b*(e+f*x)^3*sech(c+d*x)/((a^2+b^2)*d)+a*(e+f*x)^3*tanh(c+d*x)/((a^2+b^2)*d)],
[(e+f*x)^2*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,24,a*(e+f*x)^2/((a^2+b^2)*d)-4*b*f*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)*d^2)-2*a*f*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d^2)+b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+2*I*b*f^2*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^3)-2*I*b*f^2*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^3)-a*f^2*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)+2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)+2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)+b*(e+f*x)^2*sech(c+d*x)/((a^2+b^2)*d)+a*(e+f*x)^2*tanh(c+d*x)/((a^2+b^2)*d)],
[(e+f*x)*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,15,-b*f*arctan(sinh(c+d*x))/((a^2+b^2)*d^2)-a*f*log(cosh(c+d*x))/((a^2+b^2)*d^2)+b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+b^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-b^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)+b*(e+f*x)*sech(c+d*x)/((a^2+b^2)*d)+a*(e+f*x)*tanh(c+d*x)/((a^2+b^2)*d)],
[sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,5,-2*b^2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/((a^2+b^2)^(3/2)*d)+sech(c+d*x)*(b+a*sinh(c+d*x))/((a^2+b^2)*d)],
[sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^2*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,39,2*a*b^2*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)^2*d)+a*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)*d)-a*f^2*arctan(sinh(c+d*x))/((a^2+b^2)*d^3)-b^3*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)+b*f^2*log(cosh(c+d*x))/((a^2+b^2)*d^3)+b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)+b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-2*I*a*b^2*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)-I*a*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)+2*I*a*b^2*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)+I*a*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)-b^3*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)+2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+2*I*a*b^2*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)^2*d^3)+I*a*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^3)-2*I*a*b^2*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)^2*d^3)-I*a*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^3)+1/2*b^3*f^2*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^3)-2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)-2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)+a*f*(e+f*x)*sech(c+d*x)/((a^2+b^2)*d^2)+1/2*b*(e+f*x)^2*sech(c+d*x)^2/((a^2+b^2)*d)-b*f*(e+f*x)*tanh(c+d*x)/((a^2+b^2)*d^2)+1/2*a*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/((a^2+b^2)*d)],
[(e+f*x)*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,31,2*a*b^2*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)^2*d)+a*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)*d)-b^3*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)+b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)+b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-I*a*b^2*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)-1/2*I*a*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)+I*a*b^2*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)+1/2*I*a*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)-1/2*b^3*f*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)+b^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+b^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+1/2*a*f*sech(c+d*x)/((a^2+b^2)*d^2)+1/2*b*(e+f*x)*sech(c+d*x)^2/((a^2+b^2)*d)-1/2*b*f*tanh(c+d*x)/((a^2+b^2)*d^2)+1/2*a*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/((a^2+b^2)*d)],
[sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,7,1/2*a*(a^2+3*b^2)*arctan(sinh(c+d*x))/((a^2+b^2)^2*d)-b^3*log(cosh(c+d*x))/((a^2+b^2)^2*d)+b^3*log(a+b*sinh(c+d*x))/((a^2+b^2)^2*d)+1/2*sech(c+d*x)^2*(b+a*sinh(c+d*x))/((a^2+b^2)*d)],
[sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# m symbolic
[x^m*cosh(c+d*x)^3/(a+b*sinh(c+d*x)),x,0,Unintegrable(x^m*cosh(c+d*x)^3/(a+b*sinh(c+d*x)),x)],
[x^m*cosh(c+d*x)^2/(a+b*sinh(c+d*x)),x,0,Unintegrable(x^m*cosh(c+d*x)^2/(a+b*sinh(c+d*x)),x)],
[x^m*cosh(c+d*x)/(a+b*sinh(c+d*x)),x,0,Unintegrable(x^m*cosh(c+d*x)/(a+b*sinh(c+d*x)),x)],

# Integrands of the form (e+f x)^m Cosh[c+d x]^n / (a+b Sinh[c+d x])^2

# n>0
[(e+f*x)*cosh(c+d*x)/(a+b*sinh(c+d*x))^2,x,4,(-e-f*x)/(b*d*(a+b*sinh(c+d*x)))-2*f*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b*d^2*sqrt(a^2+b^2))],
[(e+f*x)^2*cosh(c+d*x)/(a+b*sinh(c+d*x))^2,x,9,-(e+f*x)^2/(b*d*(a+b*sinh(c+d*x)))+2*f*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))-2*f*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+2*f^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-2*f^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))],
[(e+f*x)^3*cosh(c+d*x)/(a+b*sinh(c+d*x))^2,x,11,-(e+f*x)^3/(b*d*(a+b*sinh(c+d*x)))+3*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))-3*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+6*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-6*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-6*f^3*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^4*sqrt(a^2+b^2))+6*f^3*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^4*sqrt(a^2+b^2))],
[(e+f*x)*cosh(c+d*x)/(a+b*sinh(c+d*x))^2,x,4,(-e-f*x)/(b*d*(a+b*sinh(c+d*x)))-2*f*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b*d^2*sqrt(a^2+b^2))],
[(e+f*x)^2*cosh(c+d*x)/(a+b*sinh(c+d*x))^2,x,9,-(e+f*x)^2/(b*d*(a+b*sinh(c+d*x)))+2*f*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))-2*f*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+2*f^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-2*f^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))],
[(e+f*x)^3*cosh(c+d*x)/(a+b*sinh(c+d*x))^2,x,11,-(e+f*x)^3/(b*d*(a+b*sinh(c+d*x)))+3*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))-3*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^2*sqrt(a^2+b^2))+6*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-6*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^3*sqrt(a^2+b^2))-6*f^3*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*d^4*sqrt(a^2+b^2))+6*f^3*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*d^4*sqrt(a^2+b^2))],

# n<0

# Integrands of the form (e+f x)^m Cosh[c+d x]^n / (a+b Sinh[c+d x])^3

# n>0
[(e+f*x)*cosh(c+d*x)/(a+b*sinh(c+d*x))^3,x,6,-a*f*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b*(a^2+b^2)^(3/2)*d^2)+1/2*(-e-f*x)/(b*d*(a+b*sinh(c+d*x))^2)-1/2*f*cosh(c+d*x)/((a^2+b^2)*d^2*(a+b*sinh(c+d*x)))],
[(e+f*x)^2*cosh(c+d*x)/(a+b*sinh(c+d*x))^3,x,12,f^2*log(a+b*sinh(c+d*x))/(b*(a^2+b^2)*d^3)+a*f*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)-a*f*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+a*f^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-a*f^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-1/2*(e+f*x)^2/(b*d*(a+b*sinh(c+d*x))^2)-f*(e+f*x)*cosh(c+d*x)/((a^2+b^2)*d^2*(a+b*sinh(c+d*x)))],
[(e+f*x)^3*cosh(c+d*x)/(a+b*sinh(c+d*x))^3,x,19,-3/2*f*(e+f*x)^2/(b*(a^2+b^2)*d^2)+3*f^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)+3/2*a*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+3*f^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)-3/2*a*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+3*f^3*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^4)+3*a*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)+3*f^3*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^4)-3*a*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-3*a*f^3*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^4)+3*a*f^3*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^4)-1/2*(e+f*x)^3/(b*d*(a+b*sinh(c+d*x))^2)-3/2*f*(e+f*x)^2*cosh(c+d*x)/((a^2+b^2)*d^2*(a+b*sinh(c+d*x)))],
[(e+f*x)*cosh(c+d*x)/(a+b*sinh(c+d*x))^3,x,6,-a*f*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b*(a^2+b^2)^(3/2)*d^2)+1/2*(-e-f*x)/(b*d*(a+b*sinh(c+d*x))^2)-1/2*f*cosh(c+d*x)/((a^2+b^2)*d^2*(a+b*sinh(c+d*x)))],
[(e+f*x)^2*cosh(c+d*x)/(a+b*sinh(c+d*x))^3,x,12,f^2*log(a+b*sinh(c+d*x))/(b*(a^2+b^2)*d^3)+a*f*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)-a*f*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+a*f^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-a*f^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-1/2*(e+f*x)^2/(b*d*(a+b*sinh(c+d*x))^2)-f*(e+f*x)*cosh(c+d*x)/((a^2+b^2)*d^2*(a+b*sinh(c+d*x)))],
[(e+f*x)^3*cosh(c+d*x)/(a+b*sinh(c+d*x))^3,x,19,-3/2*f*(e+f*x)^2/(b*(a^2+b^2)*d^2)+3*f^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)+3/2*a*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+3*f^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)-3/2*a*f*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+3*f^3*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^4)+3*a*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)+3*f^3*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^4)-3*a*f^2*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-3*a*f^3*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^4)+3*a*f^3*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^4)-1/2*(e+f*x)^3/(b*d*(a+b*sinh(c+d*x))^2)-3/2*f*(e+f*x)^2*cosh(c+d*x)/((a^2+b^2)*d^2*(a+b*sinh(c+d*x)))],

# n<0

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Sinh[c+d x]^p (a+b Sinh[c+d x])^q

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Sinh[c+d x]^p / (a+b Sinh[c+d x])^1

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Sinh[c+d x]^1 / (a+b Sinh[c+d x])

# n>0
[(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,16,1/4*a*(e+f*x)^4/(b^2*f)-6*f^3*cosh(c+d*x)/(b*d^4)-3*f*(e+f*x)^2*cosh(c+d*x)/(b*d^2)-a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d)-a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d)-3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^2)-3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^2)+6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^3)+6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^3)-6*a*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^4)-6*a*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^4)+6*f^2*(e+f*x)*sinh(c+d*x)/(b*d^3)+(e+f*x)^3*sinh(c+d*x)/(b*d)],
[(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,13,1/3*a*(e+f*x)^3/(b^2*f)-2*f*(e+f*x)*cosh(c+d*x)/(b*d^2)-a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d)-a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d)-2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^2)-2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^2)+2*a*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^3)+2*a*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^3)+2*f^2*sinh(c+d*x)/(b*d^3)+(e+f*x)^2*sinh(c+d*x)/(b*d)],
[(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,10,1/2*a*(e+f*x)^2/(b^2*f)-f*cosh(c+d*x)/(b*d^2)-a*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d)-a*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d)-a*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*d^2)-a*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*d^2)+(e+f*x)*sinh(c+d*x)/(b*d)],
[cosh(c+d*x)*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,4,-a*log(a+b*sinh(c+d*x))/(b^2*d)+sinh(c+d*x)/(b*d)],
[cosh(c+d*x)*sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)*sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^2*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,23,3/4*e*f^2*x/(b*d^2)+3/8*f^3*x^2/(b*d^2)+1/4*a^2*(e+f*x)^4/(b^3*f)+1/8*(e+f*x)^4/(b*f)-6*a*f^2*(e+f*x)*cosh(c+d*x)/(b^2*d^3)-a*(e+f*x)^3*cosh(c+d*x)/(b^2*d)-3/8*f^3*cosh(c+d*x)^2/(b*d^4)-3/4*f*(e+f*x)^2*cosh(c+d*x)^2/(b*d^2)+6*a*f^3*sinh(c+d*x)/(b^2*d^4)+3*a*f*(e+f*x)^2*sinh(c+d*x)/(b^2*d^2)+3/4*f^2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b*d^3)+1/2*(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)/(b*d)-a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d)+a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d)-3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^2)+3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^2)+6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^3)-6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^3)-6*a*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^4)+6*a*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^4)],
[(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,20,1/4*f^2*x/(b*d^2)+1/3*a^2*(e+f*x)^3/(b^3*f)+1/6*(e+f*x)^3/(b*f)-2*a*f^2*cosh(c+d*x)/(b^2*d^3)-a*(e+f*x)^2*cosh(c+d*x)/(b^2*d)-1/2*f*(e+f*x)*cosh(c+d*x)^2/(b*d^2)+2*a*f*(e+f*x)*sinh(c+d*x)/(b^2*d^2)+1/4*f^2*cosh(c+d*x)*sinh(c+d*x)/(b*d^3)+1/2*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b*d)-a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d)+a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d)-2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^2)+2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^2)+2*a*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^3)-2*a*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^3)],
[(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,15,a^2*e*x/b^3+1/2*e*x/b+1/2*a^2*f*x^2/b^3+1/4*f*x^2/b-a*(e+f*x)*cosh(c+d*x)/(b^2*d)-1/4*f*cosh(c+d*x)^2/(b*d^2)+a*f*sinh(c+d*x)/(b^2*d^2)+1/2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b*d)-a*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d)+a*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d)-a*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^2)+a*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^3*d^2)],
[cosh(c+d*x)^2*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,5,1/2*(2*a^2+b^2)*x/b^3-1/2*cosh(c+d*x)*(2*a-b*sinh(c+d*x))/(b^2*d)+2*a*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))*sqrt(a^2+b^2)/(b^3*d)],
[cosh(c+d*x)^2*sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^2*sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^3*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,30,-3/8*a*f^3*x/(b^2*d^3)-1/4*a*(e+f*x)^3/(b^2*d)+1/4*a*(a^2+b^2)*(e+f*x)^4/(b^4*f)-6*a^2*f^3*cosh(c+d*x)/(b^3*d^4)-40/9*f^3*cosh(c+d*x)/(b*d^4)-3*a^2*f*(e+f*x)^2*cosh(c+d*x)/(b^3*d^2)-2*f*(e+f*x)^2*cosh(c+d*x)/(b*d^2)-2/27*f^3*cosh(c+d*x)^3/(b*d^4)-1/3*f*(e+f*x)^2*cosh(c+d*x)^3/(b*d^2)-a*(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d)-a*(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d)-3*a*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^2)-3*a*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^2)+6*a*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^3)+6*a*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^3)-6*a*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^4)-6*a*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^4)+6*a^2*f^2*(e+f*x)*sinh(c+d*x)/(b^3*d^3)+40/9*f^2*(e+f*x)*sinh(c+d*x)/(b*d^3)+a^2*(e+f*x)^3*sinh(c+d*x)/(b^3*d)+2/3*(e+f*x)^3*sinh(c+d*x)/(b*d)+3/8*a*f^3*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^4)+3/4*a*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)+2/9*f^2*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b*d^3)+1/3*(e+f*x)^3*cosh(c+d*x)^2*sinh(c+d*x)/(b*d)-3/4*a*f^2*(e+f*x)*sinh(c+d*x)^2/(b^2*d^3)-1/2*a*(e+f*x)^3*sinh(c+d*x)^2/(b^2*d)],
[(e+f*x)^2*cosh(c+d*x)^3*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,23,-1/2*a*e*f*x/(b^2*d)-1/4*a*f^2*x^2/(b^2*d)+1/3*a*(a^2+b^2)*(e+f*x)^3/(b^4*f)-2*a^2*f*(e+f*x)*cosh(c+d*x)/(b^3*d^2)-4/3*f*(e+f*x)*cosh(c+d*x)/(b*d^2)-2/9*f*(e+f*x)*cosh(c+d*x)^3/(b*d^2)-a*(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d)-a*(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d)-2*a*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^2)-2*a*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^2)+2*a*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^3)+2*a*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^3)+2*a^2*f^2*sinh(c+d*x)/(b^3*d^3)+14/9*f^2*sinh(c+d*x)/(b*d^3)+a^2*(e+f*x)^2*sinh(c+d*x)/(b^3*d)+2/3*(e+f*x)^2*sinh(c+d*x)/(b*d)+1/2*a*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)+1/3*(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)/(b*d)-1/4*a*f^2*sinh(c+d*x)^2/(b^2*d^3)-1/2*a*(e+f*x)^2*sinh(c+d*x)^2/(b^2*d)+2/27*f^2*sinh(c+d*x)^3/(b*d^3)],
[(e+f*x)*cosh(c+d*x)^3*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,17,-1/4*a*f*x/(b^2*d)+1/2*a*(a^2+b^2)*(e+f*x)^2/(b^4*f)-a^2*f*cosh(c+d*x)/(b^3*d^2)-2/3*f*cosh(c+d*x)/(b*d^2)-1/9*f*cosh(c+d*x)^3/(b*d^2)-a*(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d)-a*(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d)-a*(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^2)-a*(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^2)+a^2*(e+f*x)*sinh(c+d*x)/(b^3*d)+2/3*(e+f*x)*sinh(c+d*x)/(b*d)+1/4*a*f*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)+1/3*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b*d)-1/2*a*(e+f*x)*sinh(c+d*x)^2/(b^2*d)],
[cosh(c+d*x)^3*sinh(c+d*x)/(a+b*sinh(c+d*x)),x,4,-a*(a^2+b^2)*log(a+b*sinh(c+d*x))/(b^4*d)+(a^2+b^2)*sinh(c+d*x)/(b^3*d)-1/2*a*sinh(c+d*x)^2/(b^2*d)+1/3*sinh(c+d*x)^3/(b*d)],
[cosh(c+d*x)^3*sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^3*sinh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,39,2*(e+f*x)^3*arctan(exp(c+d*x))/(b*d)-2*a^2*(e+f*x)^3*arctan(exp(c+d*x))/(b*(a^2+b^2)*d)+a*(e+f*x)^3*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d)-a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d)-a*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d)-3*I*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(b*d^2)+3*I*a^2*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+3*I*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(b*d^2)-3*I*a^2*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+3/2*a*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^2)-3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^2)-3*a*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^2)+6*I*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(b*d^3)-6*I*a^2*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(b*(a^2+b^2)*d^3)-6*I*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(b*d^3)+6*I*a^2*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(b*(a^2+b^2)*d^3)-3/2*a*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)+6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^3)+6*a*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^3)-6*I*f^3*polylog(4,-I*exp(c+d*x))/(b*d^4)+6*I*a^2*f^3*polylog(4,-I*exp(c+d*x))/(b*(a^2+b^2)*d^4)+6*I*f^3*polylog(4,I*exp(c+d*x))/(b*d^4)-6*I*a^2*f^3*polylog(4,I*exp(c+d*x))/(b*(a^2+b^2)*d^4)+3/4*a*f^3*polylog(4,-exp(2*(c+d*x)))/((a^2+b^2)*d^4)-6*a*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^4)-6*a*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^4)],
[(e+f*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,32,2*(e+f*x)^2*arctan(exp(c+d*x))/(b*d)-2*a^2*(e+f*x)^2*arctan(exp(c+d*x))/(b*(a^2+b^2)*d)+a*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d)-a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d)-a*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d)-2*I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*d^2)+2*I*a^2*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+2*I*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*d^2)-2*I*a^2*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+a*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^2)-2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^2)-2*a*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^2)+2*I*f^2*polylog(3,-I*exp(c+d*x))/(b*d^3)-2*I*a^2*f^2*polylog(3,-I*exp(c+d*x))/(b*(a^2+b^2)*d^3)-2*I*f^2*polylog(3,I*exp(c+d*x))/(b*d^3)+2*I*a^2*f^2*polylog(3,I*exp(c+d*x))/(b*(a^2+b^2)*d^3)-1/2*a*f^2*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)+2*a*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^3)+2*a*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^3)],
[(e+f*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,25,2*(e+f*x)*arctan(exp(c+d*x))/(b*d)-2*a^2*(e+f*x)*arctan(exp(c+d*x))/(b*(a^2+b^2)*d)+a*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d)-a*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d)-a*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d)-I*f*polylog(2,-I*exp(c+d*x))/(b*d^2)+I*a^2*f*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+I*f*polylog(2,I*exp(c+d*x))/(b*d^2)-I*a^2*f*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+1/2*a*f*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^2)-a*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)*d^2)-a*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)*d^2)],
[tanh(c+d*x)/(a+b*sinh(c+d*x)),x,6,b*arctan(sinh(c+d*x))/((a^2+b^2)*d)+a*log(cosh(c+d*x))/((a^2+b^2)*d)-a*log(a+b*sinh(c+d*x))/((a^2+b^2)*d)],
[tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*sech(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,36,(e+f*x)^3/(b*d)-a^2*(e+f*x)^3/(b*(a^2+b^2)*d)+6*a*f*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)*d^2)-3*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b*d^2)+3*a^2*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b*(a^2+b^2)*d^2)-a*b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+a*b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-6*I*a*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^3)+6*I*a*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^3)-3*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b*d^3)+3*a^2*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^3)-3*a*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)+3*a*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)+6*I*a*f^3*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^4)-6*I*a*f^3*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^4)+3/2*f^3*polylog(3,-exp(2*(c+d*x)))/(b*d^4)-3/2*a^2*f^3*polylog(3,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^4)+6*a*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)-6*a*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)-6*a*b*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^4)+6*a*b*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^4)-a*(e+f*x)^3*sech(c+d*x)/((a^2+b^2)*d)+(e+f*x)^3*tanh(c+d*x)/(b*d)-a^2*(e+f*x)^3*tanh(c+d*x)/(b*(a^2+b^2)*d)],
[(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,30,(e+f*x)^2/(b*d)-a^2*(e+f*x)^2/(b*(a^2+b^2)*d)+4*a*f*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)*d^2)-2*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(b*d^2)+2*a^2*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(b*(a^2+b^2)*d^2)-a*b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+a*b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-2*I*a*f^2*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^3)+2*I*a*f^2*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^3)-f^2*polylog(2,-exp(2*(c+d*x)))/(b*d^3)+a^2*f^2*polylog(2,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^3)-2*a*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)+2*a*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)+2*a*b*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)-2*a*b*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)-a*(e+f*x)^2*sech(c+d*x)/((a^2+b^2)*d)+(e+f*x)^2*tanh(c+d*x)/(b*d)-a^2*(e+f*x)^2*tanh(c+d*x)/(b*(a^2+b^2)*d)],
[(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,18,a*f*arctan(sinh(c+d*x))/((a^2+b^2)*d^2)-f*log(cosh(c+d*x))/(b*d^2)+a^2*f*log(cosh(c+d*x))/(b*(a^2+b^2)*d^2)-a*b*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+a*b*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-a*b*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)+a*b*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-a*(e+f*x)*sech(c+d*x)/((a^2+b^2)*d)+(e+f*x)*tanh(c+d*x)/(b*d)-a^2*(e+f*x)*tanh(c+d*x)/(b*(a^2+b^2)*d)],
[sech(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,5,2*a*b*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/((a^2+b^2)^(3/2)*d)-sech(c+d*x)*(a-b*sinh(c+d*x))/((a^2+b^2)*d)],
[sech(c+d*x)*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^2*sech(c+d*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,49,(e+f*x)^2*arctan(exp(c+d*x))/(b*d)-2*a^2*b*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)^2*d)-a^2*(e+f*x)^2*arctan(exp(c+d*x))/(b*(a^2+b^2)*d)-f^2*arctan(sinh(c+d*x))/(b*d^3)+a^2*f^2*arctan(sinh(c+d*x))/(b*(a^2+b^2)*d^3)+a*b^2*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)-a*f^2*log(cosh(c+d*x))/((a^2+b^2)*d^3)-a*b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-a*b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*d^2)+2*I*a^2*b*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)+I*a^2*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+I*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*d^2)-2*I*a^2*b*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)-I*a^2*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+a*b^2*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)-2*a*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)-2*a*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+I*f^2*polylog(3,-I*exp(c+d*x))/(b*d^3)-2*I*a^2*b*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)^2*d^3)-I*a^2*f^2*polylog(3,-I*exp(c+d*x))/(b*(a^2+b^2)*d^3)-I*f^2*polylog(3,I*exp(c+d*x))/(b*d^3)+2*I*a^2*b*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)^2*d^3)+I*a^2*f^2*polylog(3,I*exp(c+d*x))/(b*(a^2+b^2)*d^3)-1/2*a*b^2*f^2*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^3)+2*a*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)+2*a*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)+f*(e+f*x)*sech(c+d*x)/(b*d^2)-a^2*f*(e+f*x)*sech(c+d*x)/(b*(a^2+b^2)*d^2)-1/2*a*(e+f*x)^2*sech(c+d*x)^2/((a^2+b^2)*d)+a*f*(e+f*x)*tanh(c+d*x)/((a^2+b^2)*d^2)+1/2*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(b*d)-1/2*a^2*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(b*(a^2+b^2)*d)],
[(e+f*x)*sech(c+d*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,38,(e+f*x)*arctan(exp(c+d*x))/(b*d)-2*a^2*b*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)^2*d)-a^2*(e+f*x)*arctan(exp(c+d*x))/(b*(a^2+b^2)*d)+a*b^2*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)-a*b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-a*b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-1/2*I*f*polylog(2,-I*exp(c+d*x))/(b*d^2)+I*a^2*b*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)+1/2*I*a^2*f*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+1/2*I*f*polylog(2,I*exp(c+d*x))/(b*d^2)-I*a^2*b*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)-1/2*I*a^2*f*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)*d^2)+1/2*a*b^2*f*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)-a*b^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)-a*b^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+1/2*f*sech(c+d*x)/(b*d^2)-1/2*a^2*f*sech(c+d*x)/(b*(a^2+b^2)*d^2)-1/2*a*(e+f*x)*sech(c+d*x)^2/((a^2+b^2)*d)+1/2*a*f*tanh(c+d*x)/((a^2+b^2)*d^2)+1/2*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(b*d)-1/2*a^2*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(b*(a^2+b^2)*d)],
[sech(c+d*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,8,-1/2*b*(a^2-b^2)*arctan(sinh(c+d*x))/((a^2+b^2)^2*d)+a*b^2*log(cosh(c+d*x))/((a^2+b^2)^2*d)-a*b^2*log(a+b*sinh(c+d*x))/((a^2+b^2)^2*d)-1/2*sech(c+d*x)^2*(a-b*sinh(c+d*x))/((a^2+b^2)*d)],
[sech(c+d*x)^2*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)^2*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Sinh[c+d x]^2 / (a+b Sinh[c+d x])

# n>0
[(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,22,3/8*f^3*x/(b*d^3)+1/4*(e+f*x)^3/(b*d)-1/4*a^2*(e+f*x)^4/(b^3*f)+6*a*f^3*cosh(c+d*x)/(b^2*d^4)+3*a*f*(e+f*x)^2*cosh(c+d*x)/(b^2*d^2)+a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d)+a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d)+3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2)+3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2)-6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^3)-6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^3)+6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^4)+6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^4)-6*a*f^2*(e+f*x)*sinh(c+d*x)/(b^2*d^3)-a*(e+f*x)^3*sinh(c+d*x)/(b^2*d)-3/8*f^3*cosh(c+d*x)*sinh(c+d*x)/(b*d^4)-3/4*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)+3/4*f^2*(e+f*x)*sinh(c+d*x)^2/(b*d^3)+1/2*(e+f*x)^3*sinh(c+d*x)^2/(b*d)],
[(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,17,1/2*e*f*x/(b*d)+1/4*f^2*x^2/(b*d)-1/3*a^2*(e+f*x)^3/(b^3*f)+2*a*f*(e+f*x)*cosh(c+d*x)/(b^2*d^2)+a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d)+a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d)+2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2)+2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2)-2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^3)-2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^3)-2*a*f^2*sinh(c+d*x)/(b^2*d^3)-a*(e+f*x)^2*sinh(c+d*x)/(b^2*d)-1/2*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)+1/4*f^2*sinh(c+d*x)^2/(b*d^3)+1/2*(e+f*x)^2*sinh(c+d*x)^2/(b*d)],
[(e+f*x)*cosh(c+d*x)*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,14,1/4*f*x/(b*d)-1/2*a^2*(e+f*x)^2/(b^3*f)+a*f*cosh(c+d*x)/(b^2*d^2)+a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d)+a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d)+a^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^3*d^2)+a^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^3*d^2)-a*(e+f*x)*sinh(c+d*x)/(b^2*d)-1/4*f*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)+1/2*(e+f*x)*sinh(c+d*x)^2/(b*d)],
[cosh(c+d*x)*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,4,a^2*log(a+b*sinh(c+d*x))/(b^3*d)-a*sinh(c+d*x)/(b^2*d)+1/2*sinh(c+d*x)^2/(b*d)],
[cosh(c+d*x)*sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)*sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^2*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,31,-3/4*a*e*f^2*x/(b^2*d^2)-3/8*a*f^3*x^2/(b^2*d^2)-1/4*a^3*(e+f*x)^4/(b^4*f)-1/8*a*(e+f*x)^4/(b^2*f)+6*a^2*f^2*(e+f*x)*cosh(c+d*x)/(b^3*d^3)+4/3*f^2*(e+f*x)*cosh(c+d*x)/(b*d^3)+a^2*(e+f*x)^3*cosh(c+d*x)/(b^3*d)+3/8*a*f^3*cosh(c+d*x)^2/(b^2*d^4)+3/4*a*f*(e+f*x)^2*cosh(c+d*x)^2/(b^2*d^2)+2/9*f^2*(e+f*x)*cosh(c+d*x)^3/(b*d^3)+1/3*(e+f*x)^3*cosh(c+d*x)^3/(b*d)-6*a^2*f^3*sinh(c+d*x)/(b^3*d^4)-14/9*f^3*sinh(c+d*x)/(b*d^4)-3*a^2*f*(e+f*x)^2*sinh(c+d*x)/(b^3*d^2)-2/3*f*(e+f*x)^2*sinh(c+d*x)/(b*d^2)-3/4*a*f^2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^3)-1/2*a*(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)/(b^2*d)-1/3*f*(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)/(b*d^2)-2/27*f^3*sinh(c+d*x)^3/(b*d^4)+a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d)-a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d)+3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^2)-3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^2)-6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^3)+6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^3)+6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^4)-6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^4)],
[(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,25,-1/4*a*f^2*x/(b^2*d^2)-1/3*a^3*(e+f*x)^3/(b^4*f)-1/6*a*(e+f*x)^3/(b^2*f)+2*a^2*f^2*cosh(c+d*x)/(b^3*d^3)+4/9*f^2*cosh(c+d*x)/(b*d^3)+a^2*(e+f*x)^2*cosh(c+d*x)/(b^3*d)+1/2*a*f*(e+f*x)*cosh(c+d*x)^2/(b^2*d^2)+2/27*f^2*cosh(c+d*x)^3/(b*d^3)+1/3*(e+f*x)^2*cosh(c+d*x)^3/(b*d)-2*a^2*f*(e+f*x)*sinh(c+d*x)/(b^3*d^2)-4/9*f*(e+f*x)*sinh(c+d*x)/(b*d^2)-1/4*a*f^2*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^3)-1/2*a*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b^2*d)-2/9*f*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b*d^2)+a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d)-a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d)+2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^2)-2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^2)-2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^3)+2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^3)],
[(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,19,-a^3*e*x/b^4-1/2*a*e*x/b^2-1/2*a^3*f*x^2/b^4-1/4*a*f*x^2/b^2+a^2*(e+f*x)*cosh(c+d*x)/(b^3*d)+1/4*a*f*cosh(c+d*x)^2/(b^2*d^2)+1/3*(e+f*x)*cosh(c+d*x)^3/(b*d)-a^2*f*sinh(c+d*x)/(b^3*d^2)-1/3*f*sinh(c+d*x)/(b*d^2)-1/2*a*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^2*d)-1/9*f*sinh(c+d*x)^3/(b*d^2)+a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d)-a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d)+a^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^2)-a^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^4*d^2)],
[cosh(c+d*x)^2*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,8,-1/2*a*(2*a^2+b^2)*x/b^4+1/3*(3*a^2+b^2)*cosh(c+d*x)/(b^3*d)-1/2*a*cosh(c+d*x)*sinh(c+d*x)/(b^2*d)+1/3*cosh(c+d*x)*sinh(c+d*x)^2/(b*d)-2*a^2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))*sqrt(a^2+b^2)/(b^4*d)],
[cosh(c+d*x)^2*sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^2*sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^3*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,40,3/8*a^2*f^3*x/(b^3*d^3)-45/256*f^3*x/(b*d^3)+1/4*a^2*(e+f*x)^3/(b^3*d)-3/32*(e+f*x)^3/(b*d)-1/4*a^2*(a^2+b^2)*(e+f*x)^4/(b^5*f)+6*a^3*f^3*cosh(c+d*x)/(b^4*d^4)+40/9*a*f^3*cosh(c+d*x)/(b^2*d^4)+3*a^3*f*(e+f*x)^2*cosh(c+d*x)/(b^4*d^2)+2*a*f*(e+f*x)^2*cosh(c+d*x)/(b^2*d^2)+9/32*f^2*(e+f*x)*cosh(c+d*x)^2/(b*d^3)+2/27*a*f^3*cosh(c+d*x)^3/(b^2*d^4)+1/3*a*f*(e+f*x)^2*cosh(c+d*x)^3/(b^2*d^2)+3/32*f^2*(e+f*x)*cosh(c+d*x)^4/(b*d^3)+1/4*(e+f*x)^3*cosh(c+d*x)^4/(b*d)+a^2*(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d)+a^2*(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d)+3*a^2*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d^2)+3*a^2*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d^2)-6*a^2*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d^3)-6*a^2*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d^3)+6*a^2*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d^4)+6*a^2*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d^4)-6*a^3*f^2*(e+f*x)*sinh(c+d*x)/(b^4*d^3)-40/9*a*f^2*(e+f*x)*sinh(c+d*x)/(b^2*d^3)-a^3*(e+f*x)^3*sinh(c+d*x)/(b^4*d)-2/3*a*(e+f*x)^3*sinh(c+d*x)/(b^2*d)-3/8*a^2*f^3*cosh(c+d*x)*sinh(c+d*x)/(b^3*d^4)-45/256*f^3*cosh(c+d*x)*sinh(c+d*x)/(b*d^4)-3/4*a^2*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b^3*d^2)-9/32*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)-2/9*a*f^2*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b^2*d^3)-1/3*a*(e+f*x)^3*cosh(c+d*x)^2*sinh(c+d*x)/(b^2*d)-3/128*f^3*cosh(c+d*x)^3*sinh(c+d*x)/(b*d^4)-3/16*f*(e+f*x)^2*cosh(c+d*x)^3*sinh(c+d*x)/(b*d^2)+3/4*a^2*f^2*(e+f*x)*sinh(c+d*x)^2/(b^3*d^3)+1/2*a^2*(e+f*x)^3*sinh(c+d*x)^2/(b^3*d)],
[(e+f*x)^2*cosh(c+d*x)^3*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,28,1/2*a^2*e*f*x/(b^3*d)-3/16*e*f*x/(b*d)+1/4*a^2*f^2*x^2/(b^3*d)-3/32*f^2*x^2/(b*d)-1/3*a^2*(a^2+b^2)*(e+f*x)^3/(b^5*f)+2*a^3*f*(e+f*x)*cosh(c+d*x)/(b^4*d^2)+4/3*a*f*(e+f*x)*cosh(c+d*x)/(b^2*d^2)+3/32*f^2*cosh(c+d*x)^2/(b*d^3)+2/9*a*f*(e+f*x)*cosh(c+d*x)^3/(b^2*d^2)+1/32*f^2*cosh(c+d*x)^4/(b*d^3)+1/4*(e+f*x)^2*cosh(c+d*x)^4/(b*d)+a^2*(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d)+a^2*(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d)+2*a^2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d^2)+2*a^2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d^2)-2*a^2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d^3)-2*a^2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d^3)-2*a^3*f^2*sinh(c+d*x)/(b^4*d^3)-14/9*a*f^2*sinh(c+d*x)/(b^2*d^3)-a^3*(e+f*x)^2*sinh(c+d*x)/(b^4*d)-2/3*a*(e+f*x)^2*sinh(c+d*x)/(b^2*d)-1/2*a^2*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^3*d^2)-3/16*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)-1/3*a*(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)/(b^2*d)-1/8*f*(e+f*x)*cosh(c+d*x)^3*sinh(c+d*x)/(b*d^2)+1/4*a^2*f^2*sinh(c+d*x)^2/(b^3*d^3)+1/2*a^2*(e+f*x)^2*sinh(c+d*x)^2/(b^3*d)-2/27*a*f^2*sinh(c+d*x)^3/(b^2*d^3)],
[(e+f*x)*cosh(c+d*x)^3*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,22,1/4*a^2*f*x/(b^3*d)-3/32*f*x/(b*d)-1/2*a^2*(a^2+b^2)*(e+f*x)^2/(b^5*f)+a^3*f*cosh(c+d*x)/(b^4*d^2)+2/3*a*f*cosh(c+d*x)/(b^2*d^2)+1/9*a*f*cosh(c+d*x)^3/(b^2*d^2)+1/4*(e+f*x)*cosh(c+d*x)^4/(b*d)+a^2*(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d)+a^2*(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d)+a^2*(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^5*d^2)+a^2*(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^5*d^2)-a^3*(e+f*x)*sinh(c+d*x)/(b^4*d)-2/3*a*(e+f*x)*sinh(c+d*x)/(b^2*d)-1/4*a^2*f*cosh(c+d*x)*sinh(c+d*x)/(b^3*d^2)-3/32*f*cosh(c+d*x)*sinh(c+d*x)/(b*d^2)-1/3*a*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b^2*d)-1/16*f*cosh(c+d*x)^3*sinh(c+d*x)/(b*d^2)+1/2*a^2*(e+f*x)*sinh(c+d*x)^2/(b^3*d)],
[cosh(c+d*x)^3*sinh(c+d*x)^2/(a+b*sinh(c+d*x)),x,4,a^2*(a^2+b^2)*log(a+b*sinh(c+d*x))/(b^5*d)-a*(a^2+b^2)*sinh(c+d*x)/(b^4*d)+1/2*(a^2+b^2)*sinh(c+d*x)^2/(b^3*d)-1/3*a*sinh(c+d*x)^3/(b^2*d)+1/4*sinh(c+d*x)^4/(b*d)],
[cosh(c+d*x)^3*sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^3*sinh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*sinh(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,46,-1/4*(e+f*x)^4/(b*f)-2*a*(e+f*x)^3*arctan(exp(c+d*x))/(b^2*d)+2*a^3*(e+f*x)^3*arctan(exp(c+d*x))/(b^2*(a^2+b^2)*d)+(e+f*x)^3*log(1+exp(2*(c+d*x)))/(b*d)-a^2*(e+f*x)^3*log(1+exp(2*(c+d*x)))/(b*(a^2+b^2)*d)+a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d)+a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d)+3*I*a*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(b^2*d^2)-3*I*a^3*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-3*I*a*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(b^2*d^2)+3*I*a^3*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)+3/2*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/(b*d^2)-3/2*a^2*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^2)+3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^2)+3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^2)-6*I*a*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(b^2*d^3)+6*I*a^3*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)+6*I*a*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(b^2*d^3)-6*I*a^3*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)-3/2*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/(b*d^3)+3/2*a^2*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^3)-6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)-6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)+6*I*a*f^3*polylog(4,-I*exp(c+d*x))/(b^2*d^4)-6*I*a^3*f^3*polylog(4,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^4)-6*I*a*f^3*polylog(4,I*exp(c+d*x))/(b^2*d^4)+6*I*a^3*f^3*polylog(4,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^4)+3/4*f^3*polylog(4,-exp(2*(c+d*x)))/(b*d^4)-3/4*a^2*f^3*polylog(4,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^4)+6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^4)+6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^4)],
[(e+f*x)^2*sinh(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,38,-1/3*(e+f*x)^3/(b*f)-2*a*(e+f*x)^2*arctan(exp(c+d*x))/(b^2*d)+2*a^3*(e+f*x)^2*arctan(exp(c+d*x))/(b^2*(a^2+b^2)*d)+(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b*d)-a^2*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b*(a^2+b^2)*d)+a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d)+a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d)+2*I*a*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^2*d^2)-2*I*a^3*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-2*I*a*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^2*d^2)+2*I*a^3*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)+f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b*d^2)-a^2*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^2)+2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^2)+2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^2)-2*I*a*f^2*polylog(3,-I*exp(c+d*x))/(b^2*d^3)+2*I*a^3*f^2*polylog(3,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)+2*I*a*f^2*polylog(3,I*exp(c+d*x))/(b^2*d^3)-2*I*a^3*f^2*polylog(3,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)-1/2*f^2*polylog(3,-exp(2*(c+d*x)))/(b*d^3)+1/2*a^2*f^2*polylog(3,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^3)-2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)-2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^3)],
[(e+f*x)*sinh(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,30,-1/2*(e+f*x)^2/(b*f)-2*a*(e+f*x)*arctan(exp(c+d*x))/(b^2*d)+2*a^3*(e+f*x)*arctan(exp(c+d*x))/(b^2*(a^2+b^2)*d)+(e+f*x)*log(1+exp(2*(c+d*x)))/(b*d)-a^2*(e+f*x)*log(1+exp(2*(c+d*x)))/(b*(a^2+b^2)*d)+a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d)+a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d)+I*a*f*polylog(2,-I*exp(c+d*x))/(b^2*d^2)-I*a^3*f*polylog(2,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-I*a*f*polylog(2,I*exp(c+d*x))/(b^2*d^2)+I*a^3*f*polylog(2,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)+1/2*f*polylog(2,-exp(2*(c+d*x)))/(b*d^2)-1/2*a^2*f*polylog(2,-exp(2*(c+d*x)))/(b*(a^2+b^2)*d^2)+a^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^2)+a^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)*d^2)],
[sinh(c+d*x)*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,7,-a*arctan(sinh(c+d*x))/((a^2+b^2)*d)+b*log(cosh(c+d*x))/((a^2+b^2)*d)+a^2*log(a+b*sinh(c+d*x))/(b*(a^2+b^2)*d)],
[sinh(c+d*x)*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,45,-a*(e+f*x)^3/(b^2*d)+a^3*(e+f*x)^3/(b^2*(a^2+b^2)*d)+6*f*(e+f*x)^2*arctan(exp(c+d*x))/(b*d^2)-6*a^2*f*(e+f*x)^2*arctan(exp(c+d*x))/(b*(a^2+b^2)*d^2)+3*a*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b^2*d^2)-3*a^3*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^2)+a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-a^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-6*I*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*d^3)+6*I*a^2*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)*d^3)+6*I*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*d^3)-6*I*a^2*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)*d^3)+3*a*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b^2*d^3)-3*a^3*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^3)+3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-3*a^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)+6*I*f^3*polylog(3,-I*exp(c+d*x))/(b*d^4)-6*I*a^2*f^3*polylog(3,-I*exp(c+d*x))/(b*(a^2+b^2)*d^4)-6*I*f^3*polylog(3,I*exp(c+d*x))/(b*d^4)+6*I*a^2*f^3*polylog(3,I*exp(c+d*x))/(b*(a^2+b^2)*d^4)-3/2*a*f^3*polylog(3,-exp(2*(c+d*x)))/(b^2*d^4)+3/2*a^3*f^3*polylog(3,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^4)-6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)+6*a^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)+6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^4)-6*a^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^4)-(e+f*x)^3*sech(c+d*x)/(b*d)+a^2*(e+f*x)^3*sech(c+d*x)/(b*(a^2+b^2)*d)-a*(e+f*x)^3*tanh(c+d*x)/(b^2*d)+a^3*(e+f*x)^3*tanh(c+d*x)/(b^2*(a^2+b^2)*d)],
[(e+f*x)^2*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,37,-a*(e+f*x)^2/(b^2*d)+a^3*(e+f*x)^2/(b^2*(a^2+b^2)*d)+4*f*(e+f*x)*arctan(exp(c+d*x))/(b*d^2)-4*a^2*f*(e+f*x)*arctan(exp(c+d*x))/(b*(a^2+b^2)*d^2)+2*a*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(b^2*d^2)-2*a^3*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^2)+a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-a^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-2*I*f^2*polylog(2,-I*exp(c+d*x))/(b*d^3)+2*I*a^2*f^2*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)*d^3)+2*I*f^2*polylog(2,I*exp(c+d*x))/(b*d^3)-2*I*a^2*f^2*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)*d^3)+a*f^2*polylog(2,-exp(2*(c+d*x)))/(b^2*d^3)-a^3*f^2*polylog(2,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^3)+2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-2*a^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)+2*a^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^3)-(e+f*x)^2*sech(c+d*x)/(b*d)+a^2*(e+f*x)^2*sech(c+d*x)/(b*(a^2+b^2)*d)-a*(e+f*x)^2*tanh(c+d*x)/(b^2*d)+a^3*(e+f*x)^2*tanh(c+d*x)/(b^2*(a^2+b^2)*d)],
[(e+f*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,21,f*arctan(sinh(c+d*x))/(b*d^2)-a^2*f*arctan(sinh(c+d*x))/(b*(a^2+b^2)*d^2)+a*f*log(cosh(c+d*x))/(b^2*d^2)-a^3*f*log(cosh(c+d*x))/(b^2*(a^2+b^2)*d^2)+a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)-a^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d)+a^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-a^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^(3/2)*d^2)-(e+f*x)*sech(c+d*x)/(b*d)+a^2*(e+f*x)*sech(c+d*x)/(b*(a^2+b^2)*d)-a*(e+f*x)*tanh(c+d*x)/(b^2*d)+a^3*(e+f*x)*tanh(c+d*x)/(b^2*(a^2+b^2)*d)],
[tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,8,-2*a^2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/((a^2+b^2)^(3/2)*d)-b*sech(c+d*x)/((a^2+b^2)*d)-a*tanh(c+d*x)/((a^2+b^2)*d)],
[tanh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(tanh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,53,-a*(e+f*x)^2*arctan(exp(c+d*x))/(b^2*d)+2*a^3*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)^2*d)+a^3*(e+f*x)^2*arctan(exp(c+d*x))/(b^2*(a^2+b^2)*d)+a*f^2*arctan(sinh(c+d*x))/(b^2*d^3)-a^3*f^2*arctan(sinh(c+d*x))/(b^2*(a^2+b^2)*d^3)-a^2*b*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)-f^2*log(cosh(c+d*x))/(b*d^3)+a^2*f^2*log(cosh(c+d*x))/(b*(a^2+b^2)*d^3)+a^2*b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)+a^2*b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)+I*a*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^2*d^2)-2*I*a^3*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)-I*a^3*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-I*a*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^2*d^2)+2*I*a^3*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)+I*a^3*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-a^2*b*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)+2*a^2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+2*a^2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)-I*a*f^2*polylog(3,-I*exp(c+d*x))/(b^2*d^3)+2*I*a^3*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)^2*d^3)+I*a^3*f^2*polylog(3,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)+I*a*f^2*polylog(3,I*exp(c+d*x))/(b^2*d^3)-2*I*a^3*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)^2*d^3)-I*a^3*f^2*polylog(3,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)+1/2*a^2*b*f^2*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^3)-2*a^2*b*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)-2*a^2*b*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)-a*f*(e+f*x)*sech(c+d*x)/(b^2*d^2)+a^3*f*(e+f*x)*sech(c+d*x)/(b^2*(a^2+b^2)*d^2)-1/2*(e+f*x)^2*sech(c+d*x)^2/(b*d)+1/2*a^2*(e+f*x)^2*sech(c+d*x)^2/(b*(a^2+b^2)*d)+f*(e+f*x)*tanh(c+d*x)/(b*d^2)-a^2*f*(e+f*x)*tanh(c+d*x)/(b*(a^2+b^2)*d^2)-1/2*a*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(b^2*d)+1/2*a^3*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(b^2*(a^2+b^2)*d)],
[(e+f*x)*sech(c+d*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,42,-a*(e+f*x)*arctan(exp(c+d*x))/(b^2*d)+2*a^3*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)^2*d)+a^3*(e+f*x)*arctan(exp(c+d*x))/(b^2*(a^2+b^2)*d)-a^2*b*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)+a^2*b*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)+a^2*b*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)+1/2*I*a*f*polylog(2,-I*exp(c+d*x))/(b^2*d^2)-I*a^3*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)-1/2*I*a^3*f*polylog(2,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-1/2*I*a*f*polylog(2,I*exp(c+d*x))/(b^2*d^2)+I*a^3*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)+1/2*I*a^3*f*polylog(2,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-1/2*a^2*b*f*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)+a^2*b*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+a^2*b*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)-1/2*a*f*sech(c+d*x)/(b^2*d^2)+1/2*a^3*f*sech(c+d*x)/(b^2*(a^2+b^2)*d^2)-1/2*(e+f*x)*sech(c+d*x)^2/(b*d)+1/2*a^2*(e+f*x)*sech(c+d*x)^2/(b*(a^2+b^2)*d)+1/2*f*tanh(c+d*x)/(b*d^2)-1/2*a^2*f*tanh(c+d*x)/(b*(a^2+b^2)*d^2)-1/2*a*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(b^2*d)+1/2*a^3*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(b^2*(a^2+b^2)*d)],
[sech(c+d*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,8,1/2*a*(a^2-b^2)*arctan(sinh(c+d*x))/((a^2+b^2)^2*d)-a^2*b*log(cosh(c+d*x))/((a^2+b^2)^2*d)+a^2*b*log(a+b*sinh(c+d*x))/((a^2+b^2)^2*d)-1/2*sech(c+d*x)^2*(b+a*sinh(c+d*x))/((a^2+b^2)*d)],
[sech(c+d*x)*tanh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sech(c+d*x)*tanh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Sinh[c+d x]^3 / (a+b Sinh[c+d x])

# n>0
[(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,30,-3/8*a*f^3*x/(b^2*d^3)-1/4*a*(e+f*x)^3/(b^2*d)+1/4*a^3*(e+f*x)^4/(b^4*f)-6*a^2*f^3*cosh(c+d*x)/(b^3*d^4)+14/9*f^3*cosh(c+d*x)/(b*d^4)-3*a^2*f*(e+f*x)^2*cosh(c+d*x)/(b^3*d^2)+2/3*f*(e+f*x)^2*cosh(c+d*x)/(b*d^2)-2/27*f^3*cosh(c+d*x)^3/(b*d^4)-a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d)-a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d)-3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^2)-3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^2)+6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^3)+6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^3)-6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^4)-6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^4)+6*a^2*f^2*(e+f*x)*sinh(c+d*x)/(b^3*d^3)-4/3*f^2*(e+f*x)*sinh(c+d*x)/(b*d^3)+a^2*(e+f*x)^3*sinh(c+d*x)/(b^3*d)+3/8*a*f^3*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^4)+3/4*a*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)-3/4*a*f^2*(e+f*x)*sinh(c+d*x)^2/(b^2*d^3)-1/2*a*(e+f*x)^3*sinh(c+d*x)^2/(b^2*d)-1/3*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)^2/(b*d^2)+2/9*f^2*(e+f*x)*sinh(c+d*x)^3/(b*d^3)+1/3*(e+f*x)^3*sinh(c+d*x)^3/(b*d)],
[(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,22,-1/2*a*e*f*x/(b^2*d)-1/4*a*f^2*x^2/(b^2*d)+1/3*a^3*(e+f*x)^3/(b^4*f)-2*a^2*f*(e+f*x)*cosh(c+d*x)/(b^3*d^2)+4/9*f*(e+f*x)*cosh(c+d*x)/(b*d^2)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^2)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^2)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^3)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^3)+2*a^2*f^2*sinh(c+d*x)/(b^3*d^3)-4/9*f^2*sinh(c+d*x)/(b*d^3)+a^2*(e+f*x)^2*sinh(c+d*x)/(b^3*d)+1/2*a*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)-1/4*a*f^2*sinh(c+d*x)^2/(b^2*d^3)-1/2*a*(e+f*x)^2*sinh(c+d*x)^2/(b^2*d)-2/9*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)^2/(b*d^2)+2/27*f^2*sinh(c+d*x)^3/(b*d^3)+1/3*(e+f*x)^2*sinh(c+d*x)^3/(b*d)],
[(e+f*x)*cosh(c+d*x)*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,18,-1/4*a*f*x/(b^2*d)+1/2*a^3*(e+f*x)^2/(b^4*f)-a^2*f*cosh(c+d*x)/(b^3*d^2)+1/3*f*cosh(c+d*x)/(b*d^2)-1/9*f*cosh(c+d*x)^3/(b*d^2)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d)-a^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^4*d^2)-a^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^4*d^2)+a^2*(e+f*x)*sinh(c+d*x)/(b^3*d)+1/4*a*f*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)-1/2*a*(e+f*x)*sinh(c+d*x)^2/(b^2*d)+1/3*(e+f*x)*sinh(c+d*x)^3/(b*d)],
[cosh(c+d*x)*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,4,-a^3*log(a+b*sinh(c+d*x))/(b^4*d)+a^2*sinh(c+d*x)/(b^3*d)-1/2*a*sinh(c+d*x)^2/(b^2*d)+1/3*sinh(c+d*x)^3/(b*d)],
[cosh(c+d*x)*sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)*sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^2*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,38,3/4*a^2*e*f^2*x/(b^3*d^2)+3/8*a^2*f^3*x^2/(b^3*d^2)+1/4*a^4*(e+f*x)^4/(b^5*f)+1/8*a^2*(e+f*x)^4/(b^3*f)-1/32*(e+f*x)^4/(b*f)-6*a^3*f^2*(e+f*x)*cosh(c+d*x)/(b^4*d^3)-4/3*a*f^2*(e+f*x)*cosh(c+d*x)/(b^2*d^3)-a^3*(e+f*x)^3*cosh(c+d*x)/(b^4*d)-3/8*a^2*f^3*cosh(c+d*x)^2/(b^3*d^4)-3/4*a^2*f*(e+f*x)^2*cosh(c+d*x)^2/(b^3*d^2)-2/9*a*f^2*(e+f*x)*cosh(c+d*x)^3/(b^2*d^3)-1/3*a*(e+f*x)^3*cosh(c+d*x)^3/(b^2*d)-3/1024*f^3*cosh(4*c+4*d*x)/(b*d^4)-3/128*f*(e+f*x)^2*cosh(4*c+4*d*x)/(b*d^2)+6*a^3*f^3*sinh(c+d*x)/(b^4*d^4)+14/9*a*f^3*sinh(c+d*x)/(b^2*d^4)+3*a^3*f*(e+f*x)^2*sinh(c+d*x)/(b^4*d^2)+2/3*a*f*(e+f*x)^2*sinh(c+d*x)/(b^2*d^2)+3/4*a^2*f^2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^3*d^3)+1/2*a^2*(e+f*x)^3*cosh(c+d*x)*sinh(c+d*x)/(b^3*d)+1/3*a*f*(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)/(b^2*d^2)+2/27*a*f^3*sinh(c+d*x)^3/(b^2*d^4)+3/256*f^2*(e+f*x)*sinh(4*c+4*d*x)/(b*d^3)+1/32*(e+f*x)^3*sinh(4*c+4*d*x)/(b*d)-a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d)+a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d)-3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^2)+3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^2)+6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^3)-6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^3)-6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^4)+6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^4)],
[(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,31,1/4*a^2*f^2*x/(b^3*d^2)+1/3*a^4*(e+f*x)^3/(b^5*f)+1/6*a^2*(e+f*x)^3/(b^3*f)-1/24*(e+f*x)^3/(b*f)-2*a^3*f^2*cosh(c+d*x)/(b^4*d^3)-4/9*a*f^2*cosh(c+d*x)/(b^2*d^3)-a^3*(e+f*x)^2*cosh(c+d*x)/(b^4*d)-1/2*a^2*f*(e+f*x)*cosh(c+d*x)^2/(b^3*d^2)-2/27*a*f^2*cosh(c+d*x)^3/(b^2*d^3)-1/3*a*(e+f*x)^2*cosh(c+d*x)^3/(b^2*d)-1/64*f*(e+f*x)*cosh(4*c+4*d*x)/(b*d^2)+2*a^3*f*(e+f*x)*sinh(c+d*x)/(b^4*d^2)+4/9*a*f*(e+f*x)*sinh(c+d*x)/(b^2*d^2)+1/4*a^2*f^2*cosh(c+d*x)*sinh(c+d*x)/(b^3*d^3)+1/2*a^2*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b^3*d)+2/9*a*f*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b^2*d^2)+1/256*f^2*sinh(4*c+4*d*x)/(b*d^3)+1/32*(e+f*x)^2*sinh(4*c+4*d*x)/(b*d)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d)+a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^2)+2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^2)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^3)-2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^3)],
[(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,24,a^4*e*x/b^5+1/2*a^2*e*x/b^3+1/2*a^4*f*x^2/b^5+1/4*a^2*f*x^2/b^3-1/16*(e+f*x)^2/(b*f)-a^3*(e+f*x)*cosh(c+d*x)/(b^4*d)-1/4*a^2*f*cosh(c+d*x)^2/(b^3*d^2)-1/3*a*(e+f*x)*cosh(c+d*x)^3/(b^2*d)-1/128*f*cosh(4*c+4*d*x)/(b*d^2)+a^3*f*sinh(c+d*x)/(b^4*d^2)+1/3*a*f*sinh(c+d*x)/(b^2*d^2)+1/2*a^2*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^3*d)+1/9*a*f*sinh(c+d*x)^3/(b^2*d^2)+1/32*(e+f*x)*sinh(4*c+4*d*x)/(b*d)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d)+a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d)-a^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^2)+a^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(b^5*d^2)],
[cosh(c+d*x)^2*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,9,1/8*(8*a^4+4*a^2*b^2-b^4)*x/b^5-1/3*a*(3*a^2+b^2)*cosh(c+d*x)/(b^4*d)+1/8*(4*a^2+b^2)*cosh(c+d*x)*sinh(c+d*x)/(b^3*d)-1/3*a*cosh(c+d*x)*sinh(c+d*x)^2/(b^2*d)+1/4*cosh(c+d*x)*sinh(c+d*x)^3/(b*d)+2*a^3*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))*sqrt(a^2+b^2)/(b^5*d)],
[cosh(c+d*x)^2*sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^2*sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^3*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,55,-3/8*a^3*f^3*x/(b^4*d^3)+45/256*a*f^3*x/(b^2*d^3)-1/4*a^3*(e+f*x)^3/(b^4*d)+3/32*a*(e+f*x)^3/(b^2*d)+1/4*a^3*(a^2+b^2)*(e+f*x)^4/(b^6*f)-6*a^4*f^3*cosh(c+d*x)/(b^5*d^4)-40/9*a^2*f^3*cosh(c+d*x)/(b^3*d^4)+3/4*f^3*cosh(c+d*x)/(b*d^4)-3*a^4*f*(e+f*x)^2*cosh(c+d*x)/(b^5*d^2)-2*a^2*f*(e+f*x)^2*cosh(c+d*x)/(b^3*d^2)+3/8*f*(e+f*x)^2*cosh(c+d*x)/(b*d^2)-9/32*a*f^2*(e+f*x)*cosh(c+d*x)^2/(b^2*d^3)-2/27*a^2*f^3*cosh(c+d*x)^3/(b^3*d^4)-1/3*a^2*f*(e+f*x)^2*cosh(c+d*x)^3/(b^3*d^2)-3/32*a*f^2*(e+f*x)*cosh(c+d*x)^4/(b^2*d^3)-1/4*a*(e+f*x)^3*cosh(c+d*x)^4/(b^2*d)-1/216*f^3*cosh(3*c+3*d*x)/(b*d^4)-1/48*f*(e+f*x)^2*cosh(3*c+3*d*x)/(b*d^2)-3/5000*f^3*cosh(5*c+5*d*x)/(b*d^4)-3/400*f*(e+f*x)^2*cosh(5*c+5*d*x)/(b*d^2)-a^3*(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d)-a^3*(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d)-3*a^3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d^2)-3*a^3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d^2)+6*a^3*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d^3)+6*a^3*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d^3)-6*a^3*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d^4)-6*a^3*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d^4)+6*a^4*f^2*(e+f*x)*sinh(c+d*x)/(b^5*d^3)+40/9*a^2*f^2*(e+f*x)*sinh(c+d*x)/(b^3*d^3)-3/4*f^2*(e+f*x)*sinh(c+d*x)/(b*d^3)+a^4*(e+f*x)^3*sinh(c+d*x)/(b^5*d)+2/3*a^2*(e+f*x)^3*sinh(c+d*x)/(b^3*d)-1/8*(e+f*x)^3*sinh(c+d*x)/(b*d)+3/8*a^3*f^3*cosh(c+d*x)*sinh(c+d*x)/(b^4*d^4)+45/256*a*f^3*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^4)+3/4*a^3*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b^4*d^2)+9/32*a*f*(e+f*x)^2*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)+2/9*a^2*f^2*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b^3*d^3)+1/3*a^2*(e+f*x)^3*cosh(c+d*x)^2*sinh(c+d*x)/(b^3*d)+3/128*a*f^3*cosh(c+d*x)^3*sinh(c+d*x)/(b^2*d^4)+3/16*a*f*(e+f*x)^2*cosh(c+d*x)^3*sinh(c+d*x)/(b^2*d^2)-3/4*a^3*f^2*(e+f*x)*sinh(c+d*x)^2/(b^4*d^3)-1/2*a^3*(e+f*x)^3*sinh(c+d*x)^2/(b^4*d)+1/72*f^2*(e+f*x)*sinh(3*c+3*d*x)/(b*d^3)+1/48*(e+f*x)^3*sinh(3*c+3*d*x)/(b*d)+3/1000*f^2*(e+f*x)*sinh(5*c+5*d*x)/(b*d^3)+1/80*(e+f*x)^3*sinh(5*c+5*d*x)/(b*d)],
[(e+f*x)^2*cosh(c+d*x)^3*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,40,-1/2*a^3*e*f*x/(b^4*d)+3/16*a*e*f*x/(b^2*d)-1/4*a^3*f^2*x^2/(b^4*d)+3/32*a*f^2*x^2/(b^2*d)+1/3*a^3*(a^2+b^2)*(e+f*x)^3/(b^6*f)-2*a^4*f*(e+f*x)*cosh(c+d*x)/(b^5*d^2)-4/3*a^2*f*(e+f*x)*cosh(c+d*x)/(b^3*d^2)+1/4*f*(e+f*x)*cosh(c+d*x)/(b*d^2)-3/32*a*f^2*cosh(c+d*x)^2/(b^2*d^3)-2/9*a^2*f*(e+f*x)*cosh(c+d*x)^3/(b^3*d^2)-1/32*a*f^2*cosh(c+d*x)^4/(b^2*d^3)-1/4*a*(e+f*x)^2*cosh(c+d*x)^4/(b^2*d)-1/72*f*(e+f*x)*cosh(3*c+3*d*x)/(b*d^2)-1/200*f*(e+f*x)*cosh(5*c+5*d*x)/(b*d^2)-a^3*(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d)-a^3*(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d)-2*a^3*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d^2)-2*a^3*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d^2)+2*a^3*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d^3)+2*a^3*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d^3)+2*a^4*f^2*sinh(c+d*x)/(b^5*d^3)+14/9*a^2*f^2*sinh(c+d*x)/(b^3*d^3)-1/4*f^2*sinh(c+d*x)/(b*d^3)+a^4*(e+f*x)^2*sinh(c+d*x)/(b^5*d)+2/3*a^2*(e+f*x)^2*sinh(c+d*x)/(b^3*d)-1/8*(e+f*x)^2*sinh(c+d*x)/(b*d)+1/2*a^3*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^4*d^2)+3/16*a*f*(e+f*x)*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)+1/3*a^2*(e+f*x)^2*cosh(c+d*x)^2*sinh(c+d*x)/(b^3*d)+1/8*a*f*(e+f*x)*cosh(c+d*x)^3*sinh(c+d*x)/(b^2*d^2)-1/4*a^3*f^2*sinh(c+d*x)^2/(b^4*d^3)-1/2*a^3*(e+f*x)^2*sinh(c+d*x)^2/(b^4*d)+2/27*a^2*f^2*sinh(c+d*x)^3/(b^3*d^3)+1/216*f^2*sinh(3*c+3*d*x)/(b*d^3)+1/48*(e+f*x)^2*sinh(3*c+3*d*x)/(b*d)+1/1000*f^2*sinh(5*c+5*d*x)/(b*d^3)+1/80*(e+f*x)^2*sinh(5*c+5*d*x)/(b*d)],
[(e+f*x)*cosh(c+d*x)^3*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,31,-1/4*a^3*f*x/(b^4*d)+3/32*a*f*x/(b^2*d)+1/2*a^3*(a^2+b^2)*(e+f*x)^2/(b^6*f)-a^4*f*cosh(c+d*x)/(b^5*d^2)-2/3*a^2*f*cosh(c+d*x)/(b^3*d^2)+1/8*f*cosh(c+d*x)/(b*d^2)-1/9*a^2*f*cosh(c+d*x)^3/(b^3*d^2)-1/4*a*(e+f*x)*cosh(c+d*x)^4/(b^2*d)-1/144*f*cosh(3*c+3*d*x)/(b*d^2)-1/400*f*cosh(5*c+5*d*x)/(b*d^2)-a^3*(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d)-a^3*(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d)-a^3*(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^6*d^2)-a^3*(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^6*d^2)+a^4*(e+f*x)*sinh(c+d*x)/(b^5*d)+2/3*a^2*(e+f*x)*sinh(c+d*x)/(b^3*d)-1/8*(e+f*x)*sinh(c+d*x)/(b*d)+1/4*a^3*f*cosh(c+d*x)*sinh(c+d*x)/(b^4*d^2)+3/32*a*f*cosh(c+d*x)*sinh(c+d*x)/(b^2*d^2)+1/3*a^2*(e+f*x)*cosh(c+d*x)^2*sinh(c+d*x)/(b^3*d)+1/16*a*f*cosh(c+d*x)^3*sinh(c+d*x)/(b^2*d^2)-1/2*a^3*(e+f*x)*sinh(c+d*x)^2/(b^4*d)+1/48*(e+f*x)*sinh(3*c+3*d*x)/(b*d)+1/80*(e+f*x)*sinh(5*c+5*d*x)/(b*d)],
[cosh(c+d*x)^3*sinh(c+d*x)^3/(a+b*sinh(c+d*x)),x,4,-a^3*(a^2+b^2)*log(a+b*sinh(c+d*x))/(b^6*d)+a^2*(a^2+b^2)*sinh(c+d*x)/(b^5*d)-1/2*a*(a^2+b^2)*sinh(c+d*x)^2/(b^4*d)+1/3*(a^2+b^2)*sinh(c+d*x)^3/(b^3*d)-1/4*a*sinh(c+d*x)^4/(b^2*d)+1/5*sinh(c+d*x)^5/(b*d)],
[cosh(c+d*x)^3*sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^3*sinh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*sinh(c+d*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,61,1/4*a*(e+f*x)^4/(b^2*f)+2*a^2*(e+f*x)^3*arctan(exp(c+d*x))/(b^3*d)-2*(e+f*x)^3*arctan(exp(c+d*x))/(b*d)-2*a^4*(e+f*x)^3*arctan(exp(c+d*x))/(b^3*(a^2+b^2)*d)-6*f^3*cosh(c+d*x)/(b*d^4)-3*f*(e+f*x)^2*cosh(c+d*x)/(b*d^2)-a*(e+f*x)^3*log(1+exp(2*(c+d*x)))/(b^2*d)+a^3*(e+f*x)^3*log(1+exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d)-a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d)-a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d)-3*I*a^2*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(b^3*d^2)+3*I*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(b*d^2)+3*I*a^4*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)+3*I*a^2*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(b^3*d^2)-3*I*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(b*d^2)-3*I*a^4*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)-3/2*a*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/(b^2*d^2)+3/2*a^3*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^2)-3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^2)-3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^2)+6*I*a^2*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(b^3*d^3)-6*I*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(b*d^3)-6*I*a^4*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^3)-6*I*a^2*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(b^3*d^3)+6*I*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(b*d^3)+6*I*a^4*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^3)+3/2*a*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/(b^2*d^3)-3/2*a^3*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^3)+6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^3)+6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^3)-6*I*a^2*f^3*polylog(4,-I*exp(c+d*x))/(b^3*d^4)+6*I*f^3*polylog(4,-I*exp(c+d*x))/(b*d^4)+6*I*a^4*f^3*polylog(4,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^4)+6*I*a^2*f^3*polylog(4,I*exp(c+d*x))/(b^3*d^4)-6*I*f^3*polylog(4,I*exp(c+d*x))/(b*d^4)-6*I*a^4*f^3*polylog(4,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^4)-3/4*a*f^3*polylog(4,-exp(2*(c+d*x)))/(b^2*d^4)+3/4*a^3*f^3*polylog(4,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^4)-6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^4)-6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^4)+6*f^2*(e+f*x)*sinh(c+d*x)/(b*d^3)+(e+f*x)^3*sinh(c+d*x)/(b*d)],
[(e+f*x)^2*sinh(c+d*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,50,1/3*a*(e+f*x)^3/(b^2*f)+2*a^2*(e+f*x)^2*arctan(exp(c+d*x))/(b^3*d)-2*(e+f*x)^2*arctan(exp(c+d*x))/(b*d)-2*a^4*(e+f*x)^2*arctan(exp(c+d*x))/(b^3*(a^2+b^2)*d)-2*f*(e+f*x)*cosh(c+d*x)/(b*d^2)-a*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b^2*d)+a^3*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d)-2*I*a^2*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^3*d^2)+2*I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*d^2)+2*I*a^4*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)+2*I*a^2*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^3*d^2)-2*I*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*d^2)-2*I*a^4*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)-a*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b^2*d^2)+a^3*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^2)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^2)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^2)+2*I*a^2*f^2*polylog(3,-I*exp(c+d*x))/(b^3*d^3)-2*I*f^2*polylog(3,-I*exp(c+d*x))/(b*d^3)-2*I*a^4*f^2*polylog(3,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^3)-2*I*a^2*f^2*polylog(3,I*exp(c+d*x))/(b^3*d^3)+2*I*f^2*polylog(3,I*exp(c+d*x))/(b*d^3)+2*I*a^4*f^2*polylog(3,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^3)+1/2*a*f^2*polylog(3,-exp(2*(c+d*x)))/(b^2*d^3)-1/2*a^3*f^2*polylog(3,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^3)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^3)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^3)+2*f^2*sinh(c+d*x)/(b*d^3)+(e+f*x)^2*sinh(c+d*x)/(b*d)],
[(e+f*x)*sinh(c+d*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,39,1/2*a*(e+f*x)^2/(b^2*f)+2*a^2*(e+f*x)*arctan(exp(c+d*x))/(b^3*d)-2*(e+f*x)*arctan(exp(c+d*x))/(b*d)-2*a^4*(e+f*x)*arctan(exp(c+d*x))/(b^3*(a^2+b^2)*d)-f*cosh(c+d*x)/(b*d^2)-a*(e+f*x)*log(1+exp(2*(c+d*x)))/(b^2*d)+a^3*(e+f*x)*log(1+exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d)-I*a^2*f*polylog(2,-I*exp(c+d*x))/(b^3*d^2)+I*f*polylog(2,-I*exp(c+d*x))/(b*d^2)+I*a^4*f*polylog(2,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)+I*a^2*f*polylog(2,I*exp(c+d*x))/(b^3*d^2)-I*f*polylog(2,I*exp(c+d*x))/(b*d^2)-I*a^4*f*polylog(2,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)-1/2*a*f*polylog(2,-exp(2*(c+d*x)))/(b^2*d^2)+1/2*a^3*f*polylog(2,-exp(2*(c+d*x)))/(b^2*(a^2+b^2)*d^2)-a^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^2)-a^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b^2*(a^2+b^2)*d^2)+(e+f*x)*sinh(c+d*x)/(b*d)],
[sinh(c+d*x)^2*tanh(c+d*x)/(a+b*sinh(c+d*x)),x,7,-b*arctan(sinh(c+d*x))/((a^2+b^2)*d)-a*log(cosh(c+d*x))/((a^2+b^2)*d)-a^3*log(a+b*sinh(c+d*x))/(b^2*(a^2+b^2)*d)+sinh(c+d*x)/(b*d)],
[sinh(c+d*x)^2*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)^2*tanh(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*sinh(c+d*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,53,a^2*(e+f*x)^3/(b^3*d)-(e+f*x)^3/(b*d)-a^4*(e+f*x)^3/(b^3*(a^2+b^2)*d)+1/4*(e+f*x)^4/(b*f)-6*a*f*(e+f*x)^2*arctan(exp(c+d*x))/(b^2*d^2)+6*a^3*f*(e+f*x)^2*arctan(exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-3*a^2*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b^3*d^2)+3*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b*d^2)+3*a^4*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(b^3*(a^2+b^2)*d^2)-a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d)+a^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d)+6*I*a*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^2*d^3)-6*I*a^3*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)-6*I*a*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^2*d^3)+6*I*a^3*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)-3*a^2*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b^3*d^3)+3*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b*d^3)+3*a^4*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(b^3*(a^2+b^2)*d^3)-3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+3*a^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)-6*I*a*f^3*polylog(3,-I*exp(c+d*x))/(b^2*d^4)+6*I*a^3*f^3*polylog(3,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^4)+6*I*a*f^3*polylog(3,I*exp(c+d*x))/(b^2*d^4)-6*I*a^3*f^3*polylog(3,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^4)+3/2*a^2*f^3*polylog(3,-exp(2*(c+d*x)))/(b^3*d^4)-3/2*f^3*polylog(3,-exp(2*(c+d*x)))/(b*d^4)-3/2*a^4*f^3*polylog(3,-exp(2*(c+d*x)))/(b^3*(a^2+b^2)*d^4)+6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-6*a^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^4)+6*a^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^4)+a*(e+f*x)^3*sech(c+d*x)/(b^2*d)-a^3*(e+f*x)^3*sech(c+d*x)/(b^2*(a^2+b^2)*d)+a^2*(e+f*x)^3*tanh(c+d*x)/(b^3*d)-(e+f*x)^3*tanh(c+d*x)/(b*d)-a^4*(e+f*x)^3*tanh(c+d*x)/(b^3*(a^2+b^2)*d)],
[(e+f*x)^2*sinh(c+d*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,44,a^2*(e+f*x)^2/(b^3*d)-(e+f*x)^2/(b*d)-a^4*(e+f*x)^2/(b^3*(a^2+b^2)*d)+1/3*(e+f*x)^3/(b*f)-4*a*f*(e+f*x)*arctan(exp(c+d*x))/(b^2*d^2)+4*a^3*f*(e+f*x)*arctan(exp(c+d*x))/(b^2*(a^2+b^2)*d^2)-2*a^2*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(b^3*d^2)+2*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(b*d^2)+2*a^4*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(b^3*(a^2+b^2)*d^2)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d)+a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d)+2*I*a*f^2*polylog(2,-I*exp(c+d*x))/(b^2*d^3)-2*I*a^3*f^2*polylog(2,-I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)-2*I*a*f^2*polylog(2,I*exp(c+d*x))/(b^2*d^3)+2*I*a^3*f^2*polylog(2,I*exp(c+d*x))/(b^2*(a^2+b^2)*d^3)-a^2*f^2*polylog(2,-exp(2*(c+d*x)))/(b^3*d^3)+f^2*polylog(2,-exp(2*(c+d*x)))/(b*d^3)+a^4*f^2*polylog(2,-exp(2*(c+d*x)))/(b^3*(a^2+b^2)*d^3)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)-2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^3)+a*(e+f*x)^2*sech(c+d*x)/(b^2*d)-a^3*(e+f*x)^2*sech(c+d*x)/(b^2*(a^2+b^2)*d)+a^2*(e+f*x)^2*tanh(c+d*x)/(b^3*d)-(e+f*x)^2*tanh(c+d*x)/(b*d)-a^4*(e+f*x)^2*tanh(c+d*x)/(b^3*(a^2+b^2)*d)],
[(e+f*x)*sinh(c+d*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,25,e*x/b+1/2*f*x^2/b-a*f*arctan(sinh(c+d*x))/(b^2*d^2)+a^3*f*arctan(sinh(c+d*x))/(b^2*(a^2+b^2)*d^2)-a^2*f*log(cosh(c+d*x))/(b^3*d^2)+f*log(cosh(c+d*x))/(b*d^2)+a^4*f*log(cosh(c+d*x))/(b^3*(a^2+b^2)*d^2)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d)+a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d)-a^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+a^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(b*(a^2+b^2)^(3/2)*d^2)+a*(e+f*x)*sech(c+d*x)/(b^2*d)-a^3*(e+f*x)*sech(c+d*x)/(b^2*(a^2+b^2)*d)+a^2*(e+f*x)*tanh(c+d*x)/(b^3*d)-(e+f*x)*tanh(c+d*x)/(b*d)-a^4*(e+f*x)*tanh(c+d*x)/(b^3*(a^2+b^2)*d)],
[sinh(c+d*x)*tanh(c+d*x)^2/(a+b*sinh(c+d*x)),x,9,a^2*x/(b*(a^2+b^2))+b*x/(a^2+b^2)+2*a^3*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(b*(a^2+b^2)^(3/2)*d)+a*sech(c+d*x)/((a^2+b^2)*d)-b*tanh(c+d*x)/((a^2+b^2)*d)],
[sinh(c+d*x)*tanh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(sinh(c+d*x)*tanh(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^2*tanh(c+d*x)^3/(a+b*sinh(c+d*x)),x,71,a^2*(e+f*x)^2*arctan(exp(c+d*x))/(b^3*d)+(e+f*x)^2*arctan(exp(c+d*x))/(b*d)-2*a^4*(e+f*x)^2*arctan(exp(c+d*x))/(b*(a^2+b^2)^2*d)-a^4*(e+f*x)^2*arctan(exp(c+d*x))/(b^3*(a^2+b^2)*d)-a^2*f^2*arctan(sinh(c+d*x))/(b^3*d^3)+f^2*arctan(sinh(c+d*x))/(b*d^3)+a^4*f^2*arctan(sinh(c+d*x))/(b^3*(a^2+b^2)*d^3)+a^3*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)+a*f^2*log(cosh(c+d*x))/(b^2*d^3)-a^3*f^2*log(cosh(c+d*x))/(b^2*(a^2+b^2)*d^3)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-a^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-I*a^2*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^3*d^2)-I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*d^2)+2*I*a^4*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)^2*d^2)+I*a^4*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)+I*a^2*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^3*d^2)+I*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*d^2)-2*I*a^4*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)^2*d^2)-I*a^4*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)+a^3*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)-2*a^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+I*a^2*f^2*polylog(3,-I*exp(c+d*x))/(b^3*d^3)+I*f^2*polylog(3,-I*exp(c+d*x))/(b*d^3)-2*I*a^4*f^2*polylog(3,-I*exp(c+d*x))/(b*(a^2+b^2)^2*d^3)-I*a^4*f^2*polylog(3,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^3)-I*a^2*f^2*polylog(3,I*exp(c+d*x))/(b^3*d^3)-I*f^2*polylog(3,I*exp(c+d*x))/(b*d^3)+2*I*a^4*f^2*polylog(3,I*exp(c+d*x))/(b*(a^2+b^2)^2*d^3)+I*a^4*f^2*polylog(3,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^3)-1/2*a^3*f^2*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^3)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)+2*a^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^3)+a^2*f*(e+f*x)*sech(c+d*x)/(b^3*d^2)-f*(e+f*x)*sech(c+d*x)/(b*d^2)-a^4*f*(e+f*x)*sech(c+d*x)/(b^3*(a^2+b^2)*d^2)+1/2*a*(e+f*x)^2*sech(c+d*x)^2/(b^2*d)-1/2*a^3*(e+f*x)^2*sech(c+d*x)^2/(b^2*(a^2+b^2)*d)-a*f*(e+f*x)*tanh(c+d*x)/(b^2*d^2)+a^3*f*(e+f*x)*tanh(c+d*x)/(b^2*(a^2+b^2)*d^2)+1/2*a^2*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(b^3*d)-1/2*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(b*d)-1/2*a^4*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/(b^3*(a^2+b^2)*d)],
[(e+f*x)*tanh(c+d*x)^3/(a+b*sinh(c+d*x)),x,55,a^2*(e+f*x)*arctan(exp(c+d*x))/(b^3*d)+(e+f*x)*arctan(exp(c+d*x))/(b*d)-2*a^4*(e+f*x)*arctan(exp(c+d*x))/(b*(a^2+b^2)^2*d)-a^4*(e+f*x)*arctan(exp(c+d*x))/(b^3*(a^2+b^2)*d)+a^3*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)^2*d)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-a^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d)-1/2*I*a^2*f*polylog(2,-I*exp(c+d*x))/(b^3*d^2)-1/2*I*f*polylog(2,-I*exp(c+d*x))/(b*d^2)+I*a^4*f*polylog(2,-I*exp(c+d*x))/(b*(a^2+b^2)^2*d^2)+1/2*I*a^4*f*polylog(2,-I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)+1/2*I*a^2*f*polylog(2,I*exp(c+d*x))/(b^3*d^2)+1/2*I*f*polylog(2,I*exp(c+d*x))/(b*d^2)-I*a^4*f*polylog(2,I*exp(c+d*x))/(b*(a^2+b^2)^2*d^2)-1/2*I*a^4*f*polylog(2,I*exp(c+d*x))/(b^3*(a^2+b^2)*d^2)+1/2*a^3*f*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)^2*d^2)-a^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)-a^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/((a^2+b^2)^2*d^2)+1/2*a^2*f*sech(c+d*x)/(b^3*d^2)-1/2*f*sech(c+d*x)/(b*d^2)-1/2*a^4*f*sech(c+d*x)/(b^3*(a^2+b^2)*d^2)+1/2*a*(e+f*x)*sech(c+d*x)^2/(b^2*d)-1/2*a^3*(e+f*x)*sech(c+d*x)^2/(b^2*(a^2+b^2)*d)-1/2*a*f*tanh(c+d*x)/(b^2*d^2)+1/2*a^3*f*tanh(c+d*x)/(b^2*(a^2+b^2)*d^2)+1/2*a^2*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(b^3*d)-1/2*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(b*d)-1/2*a^4*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(b^3*(a^2+b^2)*d)],
[tanh(c+d*x)^3/(a+b*sinh(c+d*x)),x,7,1/2*b*(3*a^2+b^2)*arctan(sinh(c+d*x))/((a^2+b^2)^2*d)+a^3*log(cosh(c+d*x))/((a^2+b^2)^2*d)-a^3*log(a+b*sinh(c+d*x))/((a^2+b^2)^2*d)+1/2*sech(c+d*x)^2*(a-b*sinh(c+d*x))/((a^2+b^2)*d)],
[tanh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(tanh(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Sinh[c+d x]^p / (a+b Sinh[c+d x])^2

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Csch[c+d x]^p (a+b Sinh[c+d x])^q

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Csch[c+d x]^p / (a+b Sinh[c+d x])^1

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Csch[c+d x]^1 / (a+b Sinh[c+d x])

# n>0
[(e+f*x)^3*coth(c+d*x)/(a+b*sinh(c+d*x)),x,18,(e+f*x)^3*log(1-exp(2*(c+d*x)))/(a*d)-(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d)-(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d)+3/2*f*(e+f*x)^2*polylog(2,exp(2*(c+d*x)))/(a*d^2)-3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^2)-3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^2)-3/2*f^2*(e+f*x)*polylog(3,exp(2*(c+d*x)))/(a*d^3)+6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^3)+6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^3)+3/4*f^3*polylog(4,exp(2*(c+d*x)))/(a*d^4)-6*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^4)-6*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^4)],
[(e+f*x)^2*coth(c+d*x)/(a+b*sinh(c+d*x)),x,15,(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a*d)-(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d)-(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d)+f*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a*d^2)-2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^2)-2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^2)-1/2*f^2*polylog(3,exp(2*(c+d*x)))/(a*d^3)+2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^3)+2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^3)],
[(e+f*x)*coth(c+d*x)/(a+b*sinh(c+d*x)),x,12,(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d)-(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d)-(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d)+1/2*f*polylog(2,exp(2*(c+d*x)))/(a*d^2)-f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*d^2)-f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*d^2)],
[coth(c+d*x)/(a+b*sinh(c+d*x)),x,4,log(sinh(c+d*x))/(a*d)-log(a+b*sinh(c+d*x))/(a*d)],
[coth(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(coth(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)*coth(c+d*x)/(a+b*sinh(c+d*x)),x,33,1/4*(e+f*x)^4/(b*f)-2*(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)-3*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)+3*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)+6*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)-6*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)-6*f^3*polylog(4,-exp(c+d*x))/(a*d^4)+6*f^3*polylog(4,exp(c+d*x))/(a*d^4)-(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d)+(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d)-3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^2)+3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^2)+6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^3)-6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^3)-6*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^4)+6*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^4)],
[(e+f*x)^2*cosh(c+d*x)*coth(c+d*x)/(a+b*sinh(c+d*x)),x,27,1/3*(e+f*x)^3/(b*f)-2*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)-2*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)+2*f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+2*f^2*polylog(3,-exp(c+d*x))/(a*d^3)-2*f^2*polylog(3,exp(c+d*x))/(a*d^3)-(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d)+(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d)-2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^2)+2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^2)+2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^3)-2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^3)],
[(e+f*x)*cosh(c+d*x)*coth(c+d*x)/(a+b*sinh(c+d*x)),x,21,e*x/b+1/2*f*x^2/b-2*(e+f*x)*arctanh(exp(c+d*x))/(a*d)-f*polylog(2,-exp(c+d*x))/(a*d^2)+f*polylog(2,exp(c+d*x))/(a*d^2)-(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d)+(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d)-f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^2)+f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a*b*d^2)],
[cosh(c+d*x)*coth(c+d*x)/(a+b*sinh(c+d*x)),x,6,x/b-arctanh(cosh(c+d*x))/(a*d)+2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))*sqrt(a^2+b^2)/(a*b*d)],
[cosh(c+d*x)*coth(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)*coth(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)^2*coth(c+d*x)/(a+b*sinh(c+d*x)),x,34,-1/4*(e+f*x)^4/(a*f)+1/4*(a^2+b^2)*(e+f*x)^4/(a*b^2*f)-6*f^3*cosh(c+d*x)/(b*d^4)-3*f*(e+f*x)^2*cosh(c+d*x)/(b*d^2)+(e+f*x)^3*log(1-exp(2*(c+d*x)))/(a*d)-(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d)-(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d)+3/2*f*(e+f*x)^2*polylog(2,exp(2*(c+d*x)))/(a*d^2)-3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d^2)-3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d^2)-3/2*f^2*(e+f*x)*polylog(3,exp(2*(c+d*x)))/(a*d^3)+6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d^3)+6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d^3)+3/4*f^3*polylog(4,exp(2*(c+d*x)))/(a*d^4)-6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d^4)-6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d^4)+6*f^2*(e+f*x)*sinh(c+d*x)/(b*d^3)+(e+f*x)^3*sinh(c+d*x)/(b*d)],
[(e+f*x)^2*cosh(c+d*x)^2*coth(c+d*x)/(a+b*sinh(c+d*x)),x,26,-1/3*(e+f*x)^3/(a*f)+1/3*(a^2+b^2)*(e+f*x)^3/(a*b^2*f)-2*f*(e+f*x)*cosh(c+d*x)/(b*d^2)+(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a*d)-(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d)-(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d)+f*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a*d^2)-2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d^2)-2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d^2)-1/2*f^2*polylog(3,exp(2*(c+d*x)))/(a*d^3)+2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d^3)+2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d^3)+2*f^2*sinh(c+d*x)/(b*d^3)+(e+f*x)^2*sinh(c+d*x)/(b*d)],
[(e+f*x)*cosh(c+d*x)^2*coth(c+d*x)/(a+b*sinh(c+d*x)),x,22,-1/2*(e+f*x)^2/(a*f)+1/2*(a^2+b^2)*(e+f*x)^2/(a*b^2*f)-f*cosh(c+d*x)/(b*d^2)+(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d)-(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d)-(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d)+1/2*f*polylog(2,exp(2*(c+d*x)))/(a*d^2)-(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*b^2*d^2)-(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*b^2*d^2)+(e+f*x)*sinh(c+d*x)/(b*d)],
[cosh(c+d*x)^2*coth(c+d*x)/(a+b*sinh(c+d*x)),x,4,log(sinh(c+d*x))/(a*d)-(a^2+b^2)*log(a+b*sinh(c+d*x))/(a*b^2*d)+sinh(c+d*x)/(b*d)],
[cosh(c+d*x)^2*coth(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)^2*coth(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*csch(c+d*x)*sech(c+d*x)/(a+b*sinh(c+d*x)),x,40,-2*b*(e+f*x)^3*arctan(exp(c+d*x))/((a^2+b^2)*d)-2*(e+f*x)^3*arctanh(exp(2*c+2*d*x))/(a*d)+b^2*(e+f*x)^3*log(1+exp(2*(c+d*x)))/(a*(a^2+b^2)*d)-b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d)-b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d)+3*I*b*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)-3*I*b*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)+3/2*b^2*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/(a*(a^2+b^2)*d^2)-3/2*f*(e+f*x)^2*polylog(2,-exp(2*c+2*d*x))/(a*d^2)+3/2*f*(e+f*x)^2*polylog(2,exp(2*c+2*d*x))/(a*d^2)-3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^2)-3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^2)-6*I*b*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^3)+6*I*b*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^3)-3/2*b^2*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/(a*(a^2+b^2)*d^3)+3/2*f^2*(e+f*x)*polylog(3,-exp(2*c+2*d*x))/(a*d^3)-3/2*f^2*(e+f*x)*polylog(3,exp(2*c+2*d*x))/(a*d^3)+6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^3)+6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^3)+6*I*b*f^3*polylog(4,-I*exp(c+d*x))/((a^2+b^2)*d^4)-6*I*b*f^3*polylog(4,I*exp(c+d*x))/((a^2+b^2)*d^4)+3/4*b^2*f^3*polylog(4,-exp(2*(c+d*x)))/(a*(a^2+b^2)*d^4)-3/4*f^3*polylog(4,-exp(2*c+2*d*x))/(a*d^4)+3/4*f^3*polylog(4,exp(2*c+2*d*x))/(a*d^4)-6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^4)-6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^4)],
[(e+f*x)^2*csch(c+d*x)*sech(c+d*x)/(a+b*sinh(c+d*x)),x,33,-2*b*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)*d)-2*(e+f*x)^2*arctanh(exp(2*c+2*d*x))/(a*d)+b^2*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(a*(a^2+b^2)*d)-b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d)-b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d)+2*I*b*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)-2*I*b*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)+b^2*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(a*(a^2+b^2)*d^2)-f*(e+f*x)*polylog(2,-exp(2*c+2*d*x))/(a*d^2)+f*(e+f*x)*polylog(2,exp(2*c+2*d*x))/(a*d^2)-2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^2)-2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^2)-2*I*b*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^3)+2*I*b*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^3)-1/2*b^2*f^2*polylog(3,-exp(2*(c+d*x)))/(a*(a^2+b^2)*d^3)+1/2*f^2*polylog(3,-exp(2*c+2*d*x))/(a*d^3)-1/2*f^2*polylog(3,exp(2*c+2*d*x))/(a*d^3)+2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^3)+2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^3)],
[(e+f*x)*csch(c+d*x)*sech(c+d*x)/(a+b*sinh(c+d*x)),x,26,-2*b*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)*d)-2*(e+f*x)*arctanh(exp(2*c+2*d*x))/(a*d)+b^2*(e+f*x)*log(1+exp(2*(c+d*x)))/(a*(a^2+b^2)*d)-b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d)-b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d)+I*b*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)-I*b*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)+1/2*b^2*f*polylog(2,-exp(2*(c+d*x)))/(a*(a^2+b^2)*d^2)-1/2*f*polylog(2,-exp(2*c+2*d*x))/(a*d^2)+1/2*f*polylog(2,exp(2*c+2*d*x))/(a*d^2)-b^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^2)-b^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)*d^2)],
[csch(c+d*x)*sech(c+d*x)/(a+b*sinh(c+d*x)),x,7,-b*arctan(sinh(c+d*x))/((a^2+b^2)*d)-a*log(cosh(c+d*x))/((a^2+b^2)*d)+log(sinh(c+d*x))/(a*d)-b^2*log(a+b*sinh(c+d*x))/(a*(a^2+b^2)*d)],
[csch(c+d*x)*sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)*sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*csch(c+d*x)*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,53,-b*(e+f*x)^3/((a^2+b^2)*d)-6*f*(e+f*x)^2*arctan(exp(c+d*x))/(a*d^2)+6*b^2*f*(e+f*x)^2*arctan(exp(c+d*x))/(a*(a^2+b^2)*d^2)-2*(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)+3*b*f*(e+f*x)^2*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d^2)-b^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d)+b^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d)-3*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)+6*I*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^3)-6*I*b^2*f^2*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*(a^2+b^2)*d^3)-6*I*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/(a*d^3)+6*I*b^2*f^2*(e+f*x)*polylog(2,I*exp(c+d*x))/(a*(a^2+b^2)*d^3)+3*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)+3*b*f^2*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)-3*b^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^2)+3*b^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^2)+6*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)-6*I*f^3*polylog(3,-I*exp(c+d*x))/(a*d^4)+6*I*b^2*f^3*polylog(3,-I*exp(c+d*x))/(a*(a^2+b^2)*d^4)+6*I*f^3*polylog(3,I*exp(c+d*x))/(a*d^4)-6*I*b^2*f^3*polylog(3,I*exp(c+d*x))/(a*(a^2+b^2)*d^4)-6*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)-3/2*b*f^3*polylog(3,-exp(2*(c+d*x)))/((a^2+b^2)*d^4)+6*b^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^3)-6*b^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^3)-6*f^3*polylog(4,-exp(c+d*x))/(a*d^4)+6*f^3*polylog(4,exp(c+d*x))/(a*d^4)-6*b^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^4)+6*b^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^4)+(e+f*x)^3*sech(c+d*x)/(a*d)-b^2*(e+f*x)^3*sech(c+d*x)/(a*(a^2+b^2)*d)-b*(e+f*x)^3*tanh(c+d*x)/((a^2+b^2)*d)],
[(e+f*x)^2*csch(c+d*x)*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,44,-b*(e+f*x)^2/((a^2+b^2)*d)-4*f*(e+f*x)*arctan(exp(c+d*x))/(a*d^2)+4*b^2*f*(e+f*x)*arctan(exp(c+d*x))/(a*(a^2+b^2)*d^2)-2*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)+2*b*f*(e+f*x)*log(1+exp(2*(c+d*x)))/((a^2+b^2)*d^2)-b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d)+b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d)-2*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)+2*I*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)-2*I*b^2*f^2*polylog(2,-I*exp(c+d*x))/(a*(a^2+b^2)*d^3)-2*I*f^2*polylog(2,I*exp(c+d*x))/(a*d^3)+2*I*b^2*f^2*polylog(2,I*exp(c+d*x))/(a*(a^2+b^2)*d^3)+2*f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+b*f^2*polylog(2,-exp(2*(c+d*x)))/((a^2+b^2)*d^3)-2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^2)+2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^2)+2*f^2*polylog(3,-exp(c+d*x))/(a*d^3)-2*f^2*polylog(3,exp(c+d*x))/(a*d^3)+2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^3)-2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^3)+(e+f*x)^2*sech(c+d*x)/(a*d)-b^2*(e+f*x)^2*sech(c+d*x)/(a*(a^2+b^2)*d)-b*(e+f*x)^2*tanh(c+d*x)/((a^2+b^2)*d)],
[(e+f*x)*csch(c+d*x)*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,26,-f*arctan(sinh(c+d*x))/(a*d^2)+b^2*f*arctan(sinh(c+d*x))/(a*(a^2+b^2)*d^2)-2*f*x*arctanh(exp(c+d*x))/(a*d)+f*x*arctanh(cosh(c+d*x))/(a*d)-(e+f*x)*arctanh(cosh(c+d*x))/(a*d)+b*f*log(cosh(c+d*x))/((a^2+b^2)*d^2)-b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d)+b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d)-f*polylog(2,-exp(c+d*x))/(a*d^2)+f*polylog(2,exp(c+d*x))/(a*d^2)-b^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^2)+b^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^(3/2)*d^2)+(e+f*x)*sech(c+d*x)/(a*d)-b^2*(e+f*x)*sech(c+d*x)/(a*(a^2+b^2)*d)-b*(e+f*x)*tanh(c+d*x)/((a^2+b^2)*d)],
[csch(c+d*x)*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,10,-arctanh(cosh(c+d*x))/(a*d)+2*b^3*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(a*(a^2+b^2)^(3/2)*d)+sech(c+d*x)/(a*d)-b*sech(c+d*x)*(b+a*sinh(c+d*x))/(a*(a^2+b^2)*d)],
[csch(c+d*x)*sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)*sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^2*csch(c+d*x)*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,57,e*f*x/(a*d)+1/2*f^2*x^2/(a*d)-2*b^3*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)^2*d)-b*(e+f*x)^2*arctan(exp(c+d*x))/((a^2+b^2)*d)+b*f^2*arctan(sinh(c+d*x))/((a^2+b^2)*d^3)-2*(e+f*x)^2*arctanh(exp(2*c+2*d*x))/(a*d)+b^4*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(a*(a^2+b^2)^2*d)+f^2*log(cosh(c+d*x))/(a*d^3)-b^2*f^2*log(cosh(c+d*x))/(a*(a^2+b^2)*d^3)-b^4*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d)-b^4*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d)+2*I*b^3*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)+I*b*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)-2*I*b^3*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)-I*b*f*(e+f*x)*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)+b^4*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(a*(a^2+b^2)^2*d^2)-f*(e+f*x)*polylog(2,-exp(2*c+2*d*x))/(a*d^2)+f*(e+f*x)*polylog(2,exp(2*c+2*d*x))/(a*d^2)-2*b^4*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d^2)-2*b^4*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d^2)-2*I*b^3*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)^2*d^3)-I*b*f^2*polylog(3,-I*exp(c+d*x))/((a^2+b^2)*d^3)+2*I*b^3*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)^2*d^3)+I*b*f^2*polylog(3,I*exp(c+d*x))/((a^2+b^2)*d^3)-1/2*b^4*f^2*polylog(3,-exp(2*(c+d*x)))/(a*(a^2+b^2)^2*d^3)+1/2*f^2*polylog(3,-exp(2*c+2*d*x))/(a*d^3)-1/2*f^2*polylog(3,exp(2*c+2*d*x))/(a*d^3)+2*b^4*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d^3)+2*b^4*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d^3)-b*f*(e+f*x)*sech(c+d*x)/((a^2+b^2)*d^2)-1/2*b^2*(e+f*x)^2*sech(c+d*x)^2/(a*(a^2+b^2)*d)-f*(e+f*x)*tanh(c+d*x)/(a*d^2)+b^2*f*(e+f*x)*tanh(c+d*x)/(a*(a^2+b^2)*d^2)-1/2*b*(e+f*x)^2*sech(c+d*x)*tanh(c+d*x)/((a^2+b^2)*d)-1/2*(e+f*x)^2*tanh(c+d*x)^2/(a*d)],
[(e+f*x)*csch(c+d*x)*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,43,1/2*f*x/(a*d)-2*b^3*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)^2*d)-b*(e+f*x)*arctan(exp(c+d*x))/((a^2+b^2)*d)-2*f*x*arctanh(exp(2*c+2*d*x))/(a*d)+b^4*(e+f*x)*log(1+exp(2*(c+d*x)))/(a*(a^2+b^2)^2*d)-b^4*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d)-b^4*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d)-f*x*log(tanh(c+d*x))/(a*d)+(e+f*x)*log(tanh(c+d*x))/(a*d)+I*b^3*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)^2*d^2)+1/2*I*b*f*polylog(2,-I*exp(c+d*x))/((a^2+b^2)*d^2)-I*b^3*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)^2*d^2)-1/2*I*b*f*polylog(2,I*exp(c+d*x))/((a^2+b^2)*d^2)+1/2*b^4*f*polylog(2,-exp(2*(c+d*x)))/(a*(a^2+b^2)^2*d^2)-1/2*f*polylog(2,-exp(2*c+2*d*x))/(a*d^2)+1/2*f*polylog(2,exp(2*c+2*d*x))/(a*d^2)-b^4*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d^2)-b^4*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a*(a^2+b^2)^2*d^2)-1/2*b*f*sech(c+d*x)/((a^2+b^2)*d^2)-1/2*b^2*(e+f*x)*sech(c+d*x)^2/(a*(a^2+b^2)*d)-1/2*f*tanh(c+d*x)/(a*d^2)+1/2*b^2*f*tanh(c+d*x)/(a*(a^2+b^2)*d^2)-1/2*b*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/((a^2+b^2)*d)-1/2*(e+f*x)*tanh(c+d*x)^2/(a*d)],
[csch(c+d*x)*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,9,-b^3*arctan(sinh(c+d*x))/((a^2+b^2)^2*d)-1/2*b*arctan(sinh(c+d*x))/((a^2+b^2)*d)-a*(a^2+2*b^2)*log(cosh(c+d*x))/((a^2+b^2)^2*d)+log(sinh(c+d*x))/(a*d)-b^4*log(a+b*sinh(c+d*x))/(a*(a^2+b^2)^2*d)+1/2*sech(c+d*x)^2*(a-b*sinh(c+d*x))/((a^2+b^2)*d)],
[csch(c+d*x)*sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)*sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Csch[c+d x]^2 / (a+b Sinh[c+d x])

# n>0
[(e+f*x)^3*coth(c+d*x)*csch(c+d*x)/(a+b*sinh(c+d*x)),x,27,-6*f*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d^2)-(e+f*x)^3*csch(c+d*x)/(a*d)-b*(e+f*x)^3*log(1-exp(2*(c+d*x)))/(a^2*d)+b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d)+b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d)-6*f^2*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^3)+6*f^2*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^3)-3/2*b*f*(e+f*x)^2*polylog(2,exp(2*(c+d*x)))/(a^2*d^2)+3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^2)+3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^2)+6*f^3*polylog(3,-exp(c+d*x))/(a*d^4)-6*f^3*polylog(3,exp(c+d*x))/(a*d^4)+3/2*b*f^2*(e+f*x)*polylog(3,exp(2*(c+d*x)))/(a^2*d^3)-6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^3)-6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^3)-3/4*b*f^3*polylog(4,exp(2*(c+d*x)))/(a^2*d^4)+6*b*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^4)+6*b*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^4)],
[(e+f*x)^2*coth(c+d*x)*csch(c+d*x)/(a+b*sinh(c+d*x)),x,22,-4*f*(e+f*x)*arctanh(exp(c+d*x))/(a*d^2)-(e+f*x)^2*csch(c+d*x)/(a*d)-b*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a^2*d)+b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d)+b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d)-2*f^2*polylog(2,-exp(c+d*x))/(a*d^3)+2*f^2*polylog(2,exp(c+d*x))/(a*d^3)-b*f*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a^2*d^2)+2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^2)+2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^2)+1/2*b*f^2*polylog(3,exp(2*(c+d*x)))/(a^2*d^3)-2*b*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^3)-2*b*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^3)],
[(e+f*x)*coth(c+d*x)*csch(c+d*x)/(a+b*sinh(c+d*x)),x,15,-f*arctanh(cosh(c+d*x))/(a*d^2)-(e+f*x)*csch(c+d*x)/(a*d)-b*(e+f*x)*log(1-exp(2*(c+d*x)))/(a^2*d)+b*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d)+b*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d)-1/2*b*f*polylog(2,exp(2*(c+d*x)))/(a^2*d^2)+b*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*d^2)+b*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*d^2)],
[coth(c+d*x)*csch(c+d*x)/(a+b*sinh(c+d*x)),x,4,-csch(c+d*x)/(a*d)-b*log(sinh(c+d*x))/(a^2*d)+b*log(a+b*sinh(c+d*x))/(a^2*d)],
[coth(c+d*x)*csch(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(coth(c+d*x)*csch(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,41,-(e+f*x)^3/(a*d)+2*b*(e+f*x)^3*arctanh(exp(c+d*x))/(a^2*d)-(e+f*x)^3*coth(c+d*x)/(a*d)+3*f*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a*d^2)+3*b*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a^2*d^2)-3*b*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a^2*d^2)+3*f^2*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a*d^3)-6*b*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a^2*d^3)+6*b*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a^2*d^3)-3/2*f^3*polylog(3,exp(2*(c+d*x)))/(a*d^4)+6*b*f^3*polylog(4,-exp(c+d*x))/(a^2*d^4)-6*b*f^3*polylog(4,exp(c+d*x))/(a^2*d^4)+(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d)-(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d)+3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^2)-3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^2)-6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^3)+6*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^3)+6*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^4)-6*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^4)],
[(e+f*x)^2*coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,34,-(e+f*x)^2/(a*d)+2*b*(e+f*x)^2*arctanh(exp(c+d*x))/(a^2*d)-(e+f*x)^2*coth(c+d*x)/(a*d)+2*f*(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d^2)+2*b*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a^2*d^2)-2*b*f*(e+f*x)*polylog(2,exp(c+d*x))/(a^2*d^2)+f^2*polylog(2,exp(2*(c+d*x)))/(a*d^3)-2*b*f^2*polylog(3,-exp(c+d*x))/(a^2*d^3)+2*b*f^2*polylog(3,exp(c+d*x))/(a^2*d^3)+(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d)-(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d)+2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^2)-2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^2)-2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^3)+2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^3)],
[(e+f*x)*coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,25,2*b*(e+f*x)*arctanh(exp(c+d*x))/(a^2*d)-(e+f*x)*coth(c+d*x)/(a*d)+f*log(sinh(c+d*x))/(a*d^2)+b*f*polylog(2,-exp(c+d*x))/(a^2*d^2)-b*f*polylog(2,exp(c+d*x))/(a^2*d^2)+(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d)-(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d)+f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^2)-f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^2*d^2)],
[coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,7,b*arctanh(cosh(c+d*x))/(a^2*d)-coth(c+d*x)/(a*d)-2*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))*sqrt(a^2+b^2)/(a^2*d)],
[coth(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(coth(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*cosh(c+d*x)*coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,48,1/4*b*(e+f*x)^4/(a^2*f)-1/4*(a^2+b^2)*(e+f*x)^4/(a^2*b*f)-6*f*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d^2)-(e+f*x)^3*csch(c+d*x)/(a*d)-b*(e+f*x)^3*log(1-exp(2*(c+d*x)))/(a^2*d)+(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d)+(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d)-6*f^2*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^3)+6*f^2*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^3)-3/2*b*f*(e+f*x)^2*polylog(2,exp(2*(c+d*x)))/(a^2*d^2)+3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d^2)+3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d^2)+6*f^3*polylog(3,-exp(c+d*x))/(a*d^4)-6*f^3*polylog(3,exp(c+d*x))/(a*d^4)+3/2*b*f^2*(e+f*x)*polylog(3,exp(2*(c+d*x)))/(a^2*d^3)-6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d^3)-6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d^3)-3/4*b*f^3*polylog(4,exp(2*(c+d*x)))/(a^2*d^4)+6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d^4)+6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d^4)],
[(e+f*x)^2*cosh(c+d*x)*coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,37,1/3*b*(e+f*x)^3/(a^2*f)-1/3*(a^2+b^2)*(e+f*x)^3/(a^2*b*f)-4*f*(e+f*x)*arctanh(exp(c+d*x))/(a*d^2)-(e+f*x)^2*csch(c+d*x)/(a*d)-b*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a^2*d)+(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d)+(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d)-2*f^2*polylog(2,-exp(c+d*x))/(a*d^3)+2*f^2*polylog(2,exp(c+d*x))/(a*d^3)-b*f*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a^2*d^2)+2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d^2)+2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d^2)+1/2*b*f^2*polylog(3,exp(2*(c+d*x)))/(a^2*d^3)-2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d^3)-2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d^3)],
[(e+f*x)*cosh(c+d*x)*coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,28,1/2*b*(e+f*x)^2/(a^2*f)-1/2*(a^2+b^2)*(e+f*x)^2/(a^2*b*f)-f*arctanh(cosh(c+d*x))/(a*d^2)-(e+f*x)*csch(c+d*x)/(a*d)-b*(e+f*x)*log(1-exp(2*(c+d*x)))/(a^2*d)+(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d)+(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d)-1/2*b*f*polylog(2,exp(2*(c+d*x)))/(a^2*d^2)+(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*b*d^2)+(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*b*d^2)],
[cosh(c+d*x)*coth(c+d*x)^2/(a+b*sinh(c+d*x)),x,4,-csch(c+d*x)/(a*d)-b*log(sinh(c+d*x))/(a^2*d)+(a^2+b^2)*log(a+b*sinh(c+d*x))/(a^2*b*d)],
[cosh(c+d*x)*coth(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(cosh(c+d*x)*coth(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*csch(c+d*x)^2*sech(c+d*x)/(a+b*sinh(c+d*x)),x,64,-2*(e+f*x)^3*arctan(exp(c+d*x))/(a*d)+2*b^2*(e+f*x)^3*arctan(exp(c+d*x))/(a*(a^2+b^2)*d)-6*f*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d^2)+2*b*(e+f*x)^3*arctanh(exp(2*c+2*d*x))/(a^2*d)-(e+f*x)^3*csch(c+d*x)/(a*d)-b^3*(e+f*x)^3*log(1+exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d)+b^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d)+b^3*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d)-6*f^2*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^3)+3*I*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(a*d^2)-3*I*b^2*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(a*(a^2+b^2)*d^2)-3*I*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(a*d^2)+3*I*b^2*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(a*(a^2+b^2)*d^2)+6*f^2*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^3)-3/2*b^3*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^2)+3/2*b*f*(e+f*x)^2*polylog(2,-exp(2*c+2*d*x))/(a^2*d^2)-3/2*b*f*(e+f*x)^2*polylog(2,exp(2*c+2*d*x))/(a^2*d^2)+3*b^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^2)+3*b^3*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^2)+6*f^3*polylog(3,-exp(c+d*x))/(a*d^4)-6*I*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(a*d^3)+6*I*b^2*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(a*(a^2+b^2)*d^3)+6*I*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(a*d^3)-6*I*b^2*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(a*(a^2+b^2)*d^3)-6*f^3*polylog(3,exp(c+d*x))/(a*d^4)+3/2*b^3*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^3)-3/2*b*f^2*(e+f*x)*polylog(3,-exp(2*c+2*d*x))/(a^2*d^3)+3/2*b*f^2*(e+f*x)*polylog(3,exp(2*c+2*d*x))/(a^2*d^3)-6*b^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^3)-6*b^3*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^3)+6*I*f^3*polylog(4,-I*exp(c+d*x))/(a*d^4)-6*I*b^2*f^3*polylog(4,-I*exp(c+d*x))/(a*(a^2+b^2)*d^4)-6*I*f^3*polylog(4,I*exp(c+d*x))/(a*d^4)+6*I*b^2*f^3*polylog(4,I*exp(c+d*x))/(a*(a^2+b^2)*d^4)-3/4*b^3*f^3*polylog(4,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^4)+3/4*b*f^3*polylog(4,-exp(2*c+2*d*x))/(a^2*d^4)-3/4*b*f^3*polylog(4,exp(2*c+2*d*x))/(a^2*d^4)+6*b^3*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^4)+6*b^3*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^4)],
[(e+f*x)^2*csch(c+d*x)^2*sech(c+d*x)/(a+b*sinh(c+d*x)),x,53,-2*(e+f*x)^2*arctan(exp(c+d*x))/(a*d)+2*b^2*(e+f*x)^2*arctan(exp(c+d*x))/(a*(a^2+b^2)*d)-4*f*(e+f*x)*arctanh(exp(c+d*x))/(a*d^2)+2*b*(e+f*x)^2*arctanh(exp(2*c+2*d*x))/(a^2*d)-(e+f*x)^2*csch(c+d*x)/(a*d)-b^3*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d)+b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d)+b^3*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d)-2*f^2*polylog(2,-exp(c+d*x))/(a*d^3)+2*I*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*d^2)-2*I*b^2*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a*(a^2+b^2)*d^2)-2*I*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(a*d^2)+2*I*b^2*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(a*(a^2+b^2)*d^2)+2*f^2*polylog(2,exp(c+d*x))/(a*d^3)-b^3*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^2)+b*f*(e+f*x)*polylog(2,-exp(2*c+2*d*x))/(a^2*d^2)-b*f*(e+f*x)*polylog(2,exp(2*c+2*d*x))/(a^2*d^2)+2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^2)+2*b^3*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^2)-2*I*f^2*polylog(3,-I*exp(c+d*x))/(a*d^3)+2*I*b^2*f^2*polylog(3,-I*exp(c+d*x))/(a*(a^2+b^2)*d^3)+2*I*f^2*polylog(3,I*exp(c+d*x))/(a*d^3)-2*I*b^2*f^2*polylog(3,I*exp(c+d*x))/(a*(a^2+b^2)*d^3)+1/2*b^3*f^2*polylog(3,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^3)-1/2*b*f^2*polylog(3,-exp(2*c+2*d*x))/(a^2*d^3)+1/2*b*f^2*polylog(3,exp(2*c+2*d*x))/(a^2*d^3)-2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^3)-2*b^3*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^3)],
[(e+f*x)*csch(c+d*x)^2*sech(c+d*x)/(a+b*sinh(c+d*x)),x,37,-2*f*x*arctan(exp(c+d*x))/(a*d)+2*b^2*(e+f*x)*arctan(exp(c+d*x))/(a*(a^2+b^2)*d)+f*x*arctan(sinh(c+d*x))/(a*d)-(e+f*x)*arctan(sinh(c+d*x))/(a*d)+2*b*(e+f*x)*arctanh(exp(2*c+2*d*x))/(a^2*d)-f*arctanh(cosh(c+d*x))/(a*d^2)-(e+f*x)*csch(c+d*x)/(a*d)-b^3*(e+f*x)*log(1+exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d)+b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d)+b^3*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d)+I*f*polylog(2,-I*exp(c+d*x))/(a*d^2)-I*b^2*f*polylog(2,-I*exp(c+d*x))/(a*(a^2+b^2)*d^2)-I*f*polylog(2,I*exp(c+d*x))/(a*d^2)+I*b^2*f*polylog(2,I*exp(c+d*x))/(a*(a^2+b^2)*d^2)-1/2*b^3*f*polylog(2,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^2)+1/2*b*f*polylog(2,-exp(2*c+2*d*x))/(a^2*d^2)-1/2*b*f*polylog(2,exp(2*c+2*d*x))/(a^2*d^2)+b^3*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^2)+b^3*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)*d^2)],
[csch(c+d*x)^2*sech(c+d*x)/(a+b*sinh(c+d*x)),x,7,-a*arctan(sinh(c+d*x))/((a^2+b^2)*d)-csch(c+d*x)/(a*d)+b*log(cosh(c+d*x))/((a^2+b^2)*d)-b*log(sinh(c+d*x))/(a^2*d)+b^3*log(a+b*sinh(c+d*x))/(a^2*(a^2+b^2)*d)],
[csch(c+d*x)^2*sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^2*sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],

#  {((e + f*x)^3*Csch[c + d*x]^2*Sech[c + d*x]^2)/(a + b*Sinh[c + d*x]), x, 186, (-2*b^2*e^3*(a - b*E^(c + d*x)))/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (6*b^2*e^2*f*x)/(a*(a^2 + b^2)*d) - (6*b^2*e^2*f*x)/(a*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (6*b^3*e^2*E^(c + d*x)*f*x)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (6*b^2*e*f^2*x^2)/(a*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (6*b^3*e*E^(c + d*x)*f^2*x^2)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (2*b^2*f^3*x^3)/(a*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (2*b^3*E^(c + d*x)*f^3*x^3)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (2*(e + f*x)^3)/(a*d) - (6*b^3*e^2*f*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)*d^2) - (12*b^3*e*f^2*x*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)*d^2) - (6*b^3*f^3*x^2*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)*d^2) + (6*b*f*(e + f*x)^2*ArcTan[E^(c + d*x)])/(a^2*d^2) + (2*b*(e + f*x)^3*ArcTanh[E^(c + d*x)])/(a^2*d) - (2*(e + f*x)^3*Coth[2*c + 2*d*x])/(a*d) - (6*b^2*e*f^2*x*Log[1 + E^(-2*c - 2*d*x)])/(a*(a^2 + b^2)*d^2) - (3*b^2*f^3*x^2*Log[1 + E^(-2*c - 2*d*x)])/(a*(a^2 + b^2)*d^2) + (b^4*(e + f*x)^3*Log[1 + (b*E^(c + d*x))/(a - Sqrt[a^2 + b^2])])/(a^2*(a^2 + b^2)^(3/2)*d) - (b^4*(e + f*x)^3*Log[1 + (b*E^(c + d*x))/(a + Sqrt[a^2 + b^2])])/(a^2*(a^2 + b^2)^(3/2)*d) + (3*f*(e + f*x)^2*Log[1 - E^(4*(c + d*x))])/(a*d^2) - (3*b^2*e^2*f*Log[1 + E^(2*c + 2*d*x)])/(a*(a^2 + b^2)*d^2) + (3*b^2*e*f^2*PolyLog[2, -E^(-2*c - 2*d*x)])/(a*(a^2 + b^2)*d^3) + (3*b^2*f^3*x*PolyLog[2, -E^(-2*c - 2*d*x)])/(a*(a^2 + b^2)*d^3) + (3*b*f*(e + f*x)^2*PolyLog[2, -E^(c + d*x)])/(a^2*d^2) + ((6*I)*b^3*e*f^2*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^3) + ((6*I)*b^3*f^3*x*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^3) - ((6*I)*b*f^2*(e + f*x)*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*d^3) - ((6*I)*b^3*e*f^2*PolyLog[2, I*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^3) - ((6*I)*b^3*f^3*x*PolyLog[2, I*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^3) + ((6*I)*b*f^2*(e + f*x)*PolyLog[2, I*E^(c + d*x)])/(a^2*d^3) - (3*b*f*(e + f*x)^2*PolyLog[2, E^(c + d*x)])/(a^2*d^2) + (3*b^4*f*(e + f*x)^2*PolyLog[2, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/(a^2*(a^2 + b^2)^(3/2)*d^2) - (3*b^4*f*(e + f*x)^2*PolyLog[2, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/(a^2*(a^2 + b^2)^(3/2)*d^2) + (3*f^2*(e + f*x)*PolyLog[2, E^(4*(c + d*x))])/(2*a*d^3) + (3*b^2*f^3*PolyLog[3, -E^(-2*c - 2*d*x)])/(2*a*(a^2 + b^2)*d^4) - (6*b*f^2*(e + f*x)*PolyLog[3, -E^(c + d*x)])/(a^2*d^3) + ((6*I)*b*f^3*PolyLog[3, (-I)*E^(c + d*x)])/(a^2*d^4) - ((6*I)*b^3*f^3*PolyLog[3, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^4) - ((6*I)*b*f^3*PolyLog[3, I*E^(c + d*x)])/(a^2*d^4) + ((6*I)*b^3*f^3*PolyLog[3, I*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^4) + (6*b*f^2*(e + f*x)*PolyLog[3, E^(c + d*x)])/(a^2*d^3) - (6*b^4*f^2*(e + f*x)*PolyLog[3, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/(a^2*(a^2 + b^2)^(3/2)*d^3) + (6*b^4*f^2*(e + f*x)*PolyLog[3, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/(a^2*(a^2 + b^2)^(3/2)*d^3) - (3*f^3*PolyLog[3, E^(4*(c + d*x))])/(8*a*d^4) + (6*b*f^3*PolyLog[4, -E^(c + d*x)])/(a^2*d^4) - (6*b*f^3*PolyLog[4, E^(c + d*x)])/(a^2*d^4) + (6*b^4*f^3*PolyLog[4, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/(a^2*(a^2 + b^2)^(3/2)*d^4) - (6*b^4*f^3*PolyLog[4, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/(a^2*(a^2 + b^2)^(3/2)*d^4) - (b*(e + f*x)^3*Sech[c + d*x])/(a^2*d)} 
[(e+f*x)^2*csch(c+d*x)^2*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,51,-2*(e+f*x)^2/(a*d)+b^2*(e+f*x)^2/(a*(a^2+b^2)*d)+4*b*f*(e+f*x)*arctan(exp(c+d*x))/(a^2*d^2)-4*b^3*f*(e+f*x)*arctan(exp(c+d*x))/(a^2*(a^2+b^2)*d^2)+2*b*(e+f*x)^2*arctanh(exp(c+d*x))/(a^2*d)-2*(e+f*x)^2*coth(2*c+2*d*x)/(a*d)-2*b^2*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(a*(a^2+b^2)*d^2)+2*f*(e+f*x)*log(1-exp(4*(c+d*x)))/(a*d^2)+b^4*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d)-b^4*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d)+2*b*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a^2*d^2)-2*I*b*f^2*polylog(2,-I*exp(c+d*x))/(a^2*d^3)+2*I*b^3*f^2*polylog(2,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^3)+2*I*b*f^2*polylog(2,I*exp(c+d*x))/(a^2*d^3)-2*I*b^3*f^2*polylog(2,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^3)-2*b*f*(e+f*x)*polylog(2,exp(c+d*x))/(a^2*d^2)-b^2*f^2*polylog(2,-exp(2*(c+d*x)))/(a*(a^2+b^2)*d^3)+1/2*f^2*polylog(2,exp(4*(c+d*x)))/(a*d^3)+2*b^4*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d^2)-2*b^4*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d^2)-2*b*f^2*polylog(3,-exp(c+d*x))/(a^2*d^3)+2*b*f^2*polylog(3,exp(c+d*x))/(a^2*d^3)-2*b^4*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d^3)+2*b^4*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d^3)-b*(e+f*x)^2*sech(c+d*x)/(a^2*d)+b^3*(e+f*x)^2*sech(c+d*x)/(a^2*(a^2+b^2)*d)+b^2*(e+f*x)^2*tanh(c+d*x)/(a*(a^2+b^2)*d)],
[(e+f*x)*csch(c+d*x)^2*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,30,b*f*arctan(sinh(c+d*x))/(a^2*d^2)-b^3*f*arctan(sinh(c+d*x))/(a^2*(a^2+b^2)*d^2)+2*b*f*x*arctanh(exp(c+d*x))/(a^2*d)-b*f*x*arctanh(cosh(c+d*x))/(a^2*d)+b*(e+f*x)*arctanh(cosh(c+d*x))/(a^2*d)-2*(e+f*x)*coth(2*c+2*d*x)/(a*d)-b^2*f*log(cosh(c+d*x))/(a*(a^2+b^2)*d^2)+f*log(sinh(2*c+2*d*x))/(a*d^2)+b^4*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d)-b^4*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d)+b*f*polylog(2,-exp(c+d*x))/(a^2*d^2)-b*f*polylog(2,exp(c+d*x))/(a^2*d^2)+b^4*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d^2)-b^4*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^(3/2)*d^2)-b*(e+f*x)*sech(c+d*x)/(a^2*d)+b^3*(e+f*x)*sech(c+d*x)/(a^2*(a^2+b^2)*d)+b^2*(e+f*x)*tanh(c+d*x)/(a*(a^2+b^2)*d)],
[csch(c+d*x)^2*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,13,b*arctanh(cosh(c+d*x))/(a^2*d)-2*b^4*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(a^2*(a^2+b^2)^(3/2)*d)-coth(c+d*x)/(a*d)-b*sech(c+d*x)/(a^2*d)+b^2*sech(c+d*x)*(b+a*sinh(c+d*x))/(a^2*(a^2+b^2)*d)-tanh(c+d*x)/(a*d)],
[csch(c+d*x)^2*sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^2*sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],

#  {((e + f*x)^2*Csch[c + d*x]^2*Sech[c + d*x]^3)/(a + b*Sinh[c + d*x]), x, 233, (-2*b^2*e^2*(b + a*E^(c + d*x)))/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) + (2*b^2*e^2*(3*b + 2*a*E^(c + d*x)))/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (b^2*e^2*(4*b + 3*a*E^(c + d*x)))/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (2*b^3*e*f)/(a^2*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) + (2*b^2*e*E^(c + d*x)*f)/(a*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) + (4*b^3*e^2*x)/(a^2*(a^2 + b^2)) - (2*b^3*(2*a^2 + b^2)*e^2*x)/(a^2*(a^2 + b^2)^2) - (b*e*f*x)/(a^2*d) - (4*b^3*e*f*x)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) - (4*b^2*e*E^(c + d*x)*f*x)/(a*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) + (4*b^3*e*f*x)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (2*b^2*e*E^(c + d*x)*f*x)/(a*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (2*b^3*f^2*x)/(a^2*(a^2 + b^2)*d^2) + (2*b^3*f^2*x)/(a^2*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) + (2*b^2*E^(c + d*x)*f^2*x)/(a*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) - (b*f^2*x^2)/(2*a^2*d) - (2*b^3*f^2*x^2)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) - (2*b^2*E^(c + d*x)*f^2*x^2)/(a*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) + (2*b^3*f^2*x^2)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (b^2*E^(c + d*x)*f^2*x^2)/(a*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (2*b^4*e^2*ArcTan[E^(c + d*x)])/(a*(a^2 + b^2)^2*d) + (b^2*e^2*ArcTan[E^(c + d*x)])/(a*(a^2 + b^2)*d) - (2*b^2*f^2*ArcTan[E^(c + d*x)])/(a*(a^2 + b^2)*d^3) + (4*b^4*e*f*x*ArcTan[E^(c + d*x)])/(a*(a^2 + b^2)^2*d) + (2*b^2*e*f*x*ArcTan[E^(c + d*x)])/(a*(a^2 + b^2)*d) + (2*b^4*f^2*x^2*ArcTan[E^(c + d*x)])/(a*(a^2 + b^2)^2*d) + (b^2*f^2*x^2*ArcTan[E^(c + d*x)])/(a*(a^2 + b^2)*d) - (3*(e + f*x)^2*ArcTan[E^(c + d*x)])/(a*d) + (f^2*ArcTan[Sinh[c + d*x]])/(a*d^3) + (2*f^2*x*ArcTanh[E^(c + d*x)])/(a*d^2) - (6*f*(e + f*x)*ArcTanh[E^(c + d*x)])/(a*d^2) + (2*b*(e + f*x)^2*ArcTanh[E^(2*c + 2*d*x)])/(a^2*d) - (f^2*x*ArcTanh[Cosh[c + d*x]])/(a*d^2) + (f*(e + f*x)*ArcTanh[Cosh[c + d*x]])/(a*d^2) - (3*(e + f*x)^2*Csch[c + d*x])/(2*a*d) - (4*b^3*e*f*x*Log[1 + E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d) + (2*b^3*(2*a^2 + b^2)*e*f*x*Log[1 + E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)^2*d) - (2*b^3*f^2*x^2*Log[1 + E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d) + (b^3*(2*a^2 + b^2)*f^2*x^2*Log[1 + E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)^2*d) + (b^5*(e + f*x)^2*Log[1 + ((a - Sqrt[a^2 + b^2])*E^(-c - d*x))/b])/(a^2*(a^2 + b^2)^2*d) + (b^5*(e + f*x)^2*Log[1 + ((a + Sqrt[a^2 + b^2])*E^(-c - d*x))/b])/(a^2*(a^2 + b^2)^2*d) - (2*b^3*e^2*Log[1 + E^(2*c + 2*d*x)])/(a^2*(a^2 + b^2)*d) + (b^3*(2*a^2 + b^2)*e^2*Log[1 + E^(2*c + 2*d*x)])/(a^2*(a^2 + b^2)^2*d) + (b^3*f^2*Log[1 + E^(2*c + 2*d*x)])/(a^2*(a^2 + b^2)*d^3) - (b*f^2*Log[Cosh[c + d*x]])/(a^2*d^3) + (2*b^3*e*f*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d^2) - (b^3*(2*a^2 + b^2)*e*f*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)^2*d^2) + (2*b^3*f^2*x*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d^2) - (b^3*(2*a^2 + b^2)*f^2*x*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)^2*d^2) - (2*b^5*f*(e + f*x)*PolyLog[2, -(((a - Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^2*(a^2 + b^2)^2*d^2) - (2*b^5*f*(e + f*x)*PolyLog[2, -(((a + Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^2*(a^2 + b^2)^2*d^2) - (2*f^2*PolyLog[2, -E^(c + d*x)])/(a*d^3) - ((2*I)*b^4*e*f*PolyLog[2, (-I)*E^(c + d*x)])/(a*(a^2 + b^2)^2*d^2) - (I*b^2*e*f*PolyLog[2, (-I)*E^(c + d*x)])/(a*(a^2 + b^2)*d^2) - ((2*I)*b^4*f^2*x*PolyLog[2, (-I)*E^(c + d*x)])/(a*(a^2 + b^2)^2*d^2) - (I*b^2*f^2*x*PolyLog[2, (-I)*E^(c + d*x)])/(a*(a^2 + b^2)*d^2) + ((3*I)*f*(e + f*x)*PolyLog[2, (-I)*E^(c + d*x)])/(a*d^2) + ((2*I)*b^4*e*f*PolyLog[2, I*E^(c + d*x)])/(a*(a^2 + b^2)^2*d^2) + (I*b^2*e*f*PolyLog[2, I*E^(c + d*x)])/(a*(a^2 + b^2)*d^2) + ((2*I)*b^4*f^2*x*PolyLog[2, I*E^(c + d*x)])/(a*(a^2 + b^2)^2*d^2) + (I*b^2*f^2*x*PolyLog[2, I*E^(c + d*x)])/(a*(a^2 + b^2)*d^2) - ((3*I)*f*(e + f*x)*PolyLog[2, I*E^(c + d*x)])/(a*d^2) + (2*f^2*PolyLog[2, E^(c + d*x)])/(a*d^3) + (b*f*(e + f*x)*PolyLog[2, -E^(2*c + 2*d*x)])/(a^2*d^2) - (b*f*(e + f*x)*PolyLog[2, E^(2*c + 2*d*x)])/(a^2*d^2) + (b^3*f^2*PolyLog[3, -E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d^3) - (b^3*(2*a^2 + b^2)*f^2*PolyLog[3, -E^(-2*c - 2*d*x)])/(2*a^2*(a^2 + b^2)^2*d^3) - (2*b^5*f^2*PolyLog[3, -(((a - Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^2*(a^2 + b^2)^2*d^3) - (2*b^5*f^2*PolyLog[3, -(((a + Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^2*(a^2 + b^2)^2*d^3) - ((3*I)*f^2*PolyLog[3, (-I)*E^(c + d*x)])/(a*d^3) + ((2*I)*b^4*f^2*PolyLog[3, (-I)*E^(c + d*x)])/(a*(a^2 + b^2)^2*d^3) + (I*b^2*f^2*PolyLog[3, (-I)*E^(c + d*x)])/(a*(a^2 + b^2)*d^3) + ((3*I)*f^2*PolyLog[3, I*E^(c + d*x)])/(a*d^3) - ((2*I)*b^4*f^2*PolyLog[3, I*E^(c + d*x)])/(a*(a^2 + b^2)^2*d^3) - (I*b^2*f^2*PolyLog[3, I*E^(c + d*x)])/(a*(a^2 + b^2)*d^3) - (b*f^2*PolyLog[3, -E^(2*c + 2*d*x)])/(2*a^2*d^3) + (b*f^2*PolyLog[3, E^(2*c + 2*d*x)])/(2*a^2*d^3) - (f*(e + f*x)*Sech[c + d*x])/(a*d^2) + ((e + f*x)^2*Csch[c + d*x]*Sech[c + d*x]^2)/(2*a*d) + (b*f*(e + f*x)*Tanh[c + d*x])/(a^2*d^2) + (b*(e + f*x)^2*Tanh[c + d*x]^2)/(2*a^2*d)} 
[(e+f*x)*csch(c+d*x)^2*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,57,-1/2*b*f*x/(a^2*d)-3*f*x*arctan(exp(c+d*x))/(a*d)+2*b^4*(e+f*x)*arctan(exp(c+d*x))/(a*(a^2+b^2)^2*d)+b^2*(e+f*x)*arctan(exp(c+d*x))/(a*(a^2+b^2)*d)+3/2*f*x*arctan(sinh(c+d*x))/(a*d)-3/2*(e+f*x)*arctan(sinh(c+d*x))/(a*d)+2*b*f*x*arctanh(exp(2*c+2*d*x))/(a^2*d)-f*arctanh(cosh(c+d*x))/(a*d^2)-3/2*(e+f*x)*csch(c+d*x)/(a*d)-b^5*(e+f*x)*log(1+exp(2*(c+d*x)))/(a^2*(a^2+b^2)^2*d)+b^5*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^2*d)+b^5*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^2*d)+b*f*x*log(tanh(c+d*x))/(a^2*d)-b*(e+f*x)*log(tanh(c+d*x))/(a^2*d)+3/2*I*f*polylog(2,-I*exp(c+d*x))/(a*d^2)-I*b^4*f*polylog(2,-I*exp(c+d*x))/(a*(a^2+b^2)^2*d^2)-1/2*I*b^2*f*polylog(2,-I*exp(c+d*x))/(a*(a^2+b^2)*d^2)-3/2*I*f*polylog(2,I*exp(c+d*x))/(a*d^2)+I*b^4*f*polylog(2,I*exp(c+d*x))/(a*(a^2+b^2)^2*d^2)+1/2*I*b^2*f*polylog(2,I*exp(c+d*x))/(a*(a^2+b^2)*d^2)-1/2*b^5*f*polylog(2,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)^2*d^2)+1/2*b*f*polylog(2,-exp(2*c+2*d*x))/(a^2*d^2)-1/2*b*f*polylog(2,exp(2*c+2*d*x))/(a^2*d^2)+b^5*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^2*d^2)+b^5*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^2*(a^2+b^2)^2*d^2)-1/2*f*sech(c+d*x)/(a*d^2)+1/2*b^2*f*sech(c+d*x)/(a*(a^2+b^2)*d^2)+1/2*b^3*(e+f*x)*sech(c+d*x)^2/(a^2*(a^2+b^2)*d)+1/2*(e+f*x)*csch(c+d*x)*sech(c+d*x)^2/(a*d)+1/2*b*f*tanh(c+d*x)/(a^2*d^2)-1/2*b^3*f*tanh(c+d*x)/(a^2*(a^2+b^2)*d^2)+1/2*b^2*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(a*(a^2+b^2)*d)+1/2*b*(e+f*x)*tanh(c+d*x)^2/(a^2*d)],
[csch(c+d*x)^2*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,9,-1/2*a*arctan(sinh(c+d*x))/((a^2+b^2)*d)-a*(a^2+2*b^2)*arctan(sinh(c+d*x))/((a^2+b^2)^2*d)-csch(c+d*x)/(a*d)+b*(a^2+2*b^2)*log(cosh(c+d*x))/((a^2+b^2)^2*d)-b*log(sinh(c+d*x))/(a^2*d)+b^5*log(a+b*sinh(c+d*x))/(a^2*(a^2+b^2)^2*d)-1/2*sech(c+d*x)^2*(b+a*sinh(c+d*x))/((a^2+b^2)*d)],
[csch(c+d*x)^2*sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^2*sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Csch[c+d x]^3 / (a+b Sinh[c+d x])

# n>0
[(e+f*x)^3*coth(c+d*x)*csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,34,-3/2*f*(e+f*x)^2/(a*d^2)+6*b*f*(e+f*x)^2*arctanh(exp(c+d*x))/(a^2*d^2)-3/2*f*(e+f*x)^2*coth(c+d*x)/(a*d^2)+b*(e+f*x)^3*csch(c+d*x)/(a^2*d)-1/2*(e+f*x)^3*csch(c+d*x)^2/(a*d)+3*f^2*(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d^3)+b^2*(e+f*x)^3*log(1-exp(2*(c+d*x)))/(a^3*d)-b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d)-b^2*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d)+6*b*f^2*(e+f*x)*polylog(2,-exp(c+d*x))/(a^2*d^3)-6*b*f^2*(e+f*x)*polylog(2,exp(c+d*x))/(a^2*d^3)+3/2*f^3*polylog(2,exp(2*(c+d*x)))/(a*d^4)+3/2*b^2*f*(e+f*x)^2*polylog(2,exp(2*(c+d*x)))/(a^3*d^2)-3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2)-3*b^2*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2)-6*b*f^3*polylog(3,-exp(c+d*x))/(a^2*d^4)+6*b*f^3*polylog(3,exp(c+d*x))/(a^2*d^4)-3/2*b^2*f^2*(e+f*x)*polylog(3,exp(2*(c+d*x)))/(a^3*d^3)+6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^3)+6*b^2*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^3)+3/4*b^2*f^3*polylog(4,exp(2*(c+d*x)))/(a^3*d^4)-6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^4)-6*b^2*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^4)],
[(e+f*x)^2*coth(c+d*x)*csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,26,4*b*f*(e+f*x)*arctanh(exp(c+d*x))/(a^2*d^2)-f*(e+f*x)*coth(c+d*x)/(a*d^2)+b*(e+f*x)^2*csch(c+d*x)/(a^2*d)-1/2*(e+f*x)^2*csch(c+d*x)^2/(a*d)+b^2*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a^3*d)+f^2*log(sinh(c+d*x))/(a*d^3)-b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d)-b^2*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d)+2*b*f^2*polylog(2,-exp(c+d*x))/(a^2*d^3)-2*b*f^2*polylog(2,exp(c+d*x))/(a^2*d^3)+b^2*f*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a^3*d^2)-2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2)-2*b^2*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2)-1/2*b^2*f^2*polylog(3,exp(2*(c+d*x)))/(a^3*d^3)+2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^3)+2*b^2*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^3)],
[(e+f*x)*coth(c+d*x)*csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,19,b*f*arctanh(cosh(c+d*x))/(a^2*d^2)-1/2*f*coth(c+d*x)/(a*d^2)+b*(e+f*x)*csch(c+d*x)/(a^2*d)-1/2*(e+f*x)*csch(c+d*x)^2/(a*d)+b^2*(e+f*x)*log(1-exp(2*(c+d*x)))/(a^3*d)-b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d)-b^2*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d)+1/2*b^2*f*polylog(2,exp(2*(c+d*x)))/(a^3*d^2)-b^2*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2)-b^2*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2)],
[coth(c+d*x)*csch(c+d*x)^2/(a+b*sinh(c+d*x)),x,4,b*csch(c+d*x)/(a^2*d)-1/2*csch(c+d*x)^2/(a*d)+b^2*log(sinh(c+d*x))/(a^3*d)-b^2*log(a+b*sinh(c+d*x))/(a^3*d)],
[coth(c+d*x)*csch(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(coth(c+d*x)*csch(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*coth(c+d*x)^2*csch(c+d*x)/(a+b*sinh(c+d*x)),x,67,b*(e+f*x)^3/(a^2*d)-6*f^2*(e+f*x)*arctanh(exp(c+d*x))/(a*d^3)-(e+f*x)^3*arctanh(exp(c+d*x))/(a*d)-2*b^2*(e+f*x)^3*arctanh(exp(c+d*x))/(a^3*d)+b*(e+f*x)^3*coth(c+d*x)/(a^2*d)-3/2*f*(e+f*x)^2*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)^3*coth(c+d*x)*csch(c+d*x)/(a*d)-3*b*f*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a^2*d^2)-3*f^3*polylog(2,-exp(c+d*x))/(a*d^4)-3/2*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a*d^2)-3*b^2*f*(e+f*x)^2*polylog(2,-exp(c+d*x))/(a^3*d^2)+3*f^3*polylog(2,exp(c+d*x))/(a*d^4)+3/2*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a*d^2)+3*b^2*f*(e+f*x)^2*polylog(2,exp(c+d*x))/(a^3*d^2)-3*b*f^2*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a^2*d^3)+3*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a*d^3)+6*b^2*f^2*(e+f*x)*polylog(3,-exp(c+d*x))/(a^3*d^3)-3*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a*d^3)-6*b^2*f^2*(e+f*x)*polylog(3,exp(c+d*x))/(a^3*d^3)+3/2*b*f^3*polylog(3,exp(2*(c+d*x)))/(a^2*d^4)-3*f^3*polylog(4,-exp(c+d*x))/(a*d^4)-6*b^2*f^3*polylog(4,-exp(c+d*x))/(a^3*d^4)+3*f^3*polylog(4,exp(c+d*x))/(a*d^4)+6*b^2*f^3*polylog(4,exp(c+d*x))/(a^3*d^4)-b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d)+b*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d)-3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^2)+3*b*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^2)+6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^3)-6*b*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^3)-6*b*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^4)+6*b*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^4)],
[(e+f*x)^2*coth(c+d*x)^2*csch(c+d*x)/(a+b*sinh(c+d*x)),x,52,b*(e+f*x)^2/(a^2*d)-(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)-2*b^2*(e+f*x)^2*arctanh(exp(c+d*x))/(a^3*d)-f^2*arctanh(cosh(c+d*x))/(a*d^3)+b*(e+f*x)^2*coth(c+d*x)/(a^2*d)-f*(e+f*x)*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)^2*coth(c+d*x)*csch(c+d*x)/(a*d)-2*b*f*(e+f*x)*log(1-exp(2*(c+d*x)))/(a^2*d^2)-f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)-2*b^2*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a^3*d^2)+f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+2*b^2*f*(e+f*x)*polylog(2,exp(c+d*x))/(a^3*d^2)-b*f^2*polylog(2,exp(2*(c+d*x)))/(a^2*d^3)+f^2*polylog(3,-exp(c+d*x))/(a*d^3)+2*b^2*f^2*polylog(3,-exp(c+d*x))/(a^3*d^3)-f^2*polylog(3,exp(c+d*x))/(a*d^3)-2*b^2*f^2*polylog(3,exp(c+d*x))/(a^3*d^3)-b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d)+b*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d)-2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^2)+2*b*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^2)+2*b*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^3)-2*b*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^3)],
[(e+f*x)*coth(c+d*x)^2*csch(c+d*x)/(a+b*sinh(c+d*x)),x,38,-(e+f*x)*arctanh(exp(c+d*x))/(a*d)-2*b^2*(e+f*x)*arctanh(exp(c+d*x))/(a^3*d)+b*(e+f*x)*coth(c+d*x)/(a^2*d)-1/2*f*csch(c+d*x)/(a*d^2)-1/2*(e+f*x)*coth(c+d*x)*csch(c+d*x)/(a*d)-b*f*log(sinh(c+d*x))/(a^2*d^2)-1/2*f*polylog(2,-exp(c+d*x))/(a*d^2)-b^2*f*polylog(2,-exp(c+d*x))/(a^3*d^2)+1/2*f*polylog(2,exp(c+d*x))/(a*d^2)+b^2*f*polylog(2,exp(c+d*x))/(a^3*d^2)-b*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d)+b*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d)-b*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^2)+b*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))*sqrt(a^2+b^2)/(a^3*d^2)],
[coth(c+d*x)^2*csch(c+d*x)/(a+b*sinh(c+d*x)),x,8,-1/2*(a^2+2*b^2)*arctanh(cosh(c+d*x))/(a^3*d)+b*coth(c+d*x)/(a^2*d)-1/2*coth(c+d*x)*csch(c+d*x)/(a*d)+2*b*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))*sqrt(a^2+b^2)/(a^3*d)],
[coth(c+d*x)^2*csch(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(coth(c+d*x)^2*csch(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],
[(e+f*x)^3*coth(c+d*x)^3/(a+b*sinh(c+d*x)),x,62,-3/2*f*(e+f*x)^2/(a*d^2)+1/2*(e+f*x)^3/(a*d)-1/4*(e+f*x)^4/(a*f)-1/4*b^2*(e+f*x)^4/(a^3*f)+1/4*(a^2+b^2)*(e+f*x)^4/(a^3*f)+6*b*f*(e+f*x)^2*arctanh(exp(c+d*x))/(a^2*d^2)-3/2*f*(e+f*x)^2*coth(c+d*x)/(a*d^2)-1/2*(e+f*x)^3*coth(c+d*x)^2/(a*d)+b*(e+f*x)^3*csch(c+d*x)/(a^2*d)+3*f^2*(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d^3)+(e+f*x)^3*log(1-exp(2*(c+d*x)))/(a*d)+b^2*(e+f*x)^3*log(1-exp(2*(c+d*x)))/(a^3*d)-(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d)-(a^2+b^2)*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d)+6*b*f^2*(e+f*x)*polylog(2,-exp(c+d*x))/(a^2*d^3)-6*b*f^2*(e+f*x)*polylog(2,exp(c+d*x))/(a^2*d^3)+3/2*f^3*polylog(2,exp(2*(c+d*x)))/(a*d^4)+3/2*f*(e+f*x)^2*polylog(2,exp(2*(c+d*x)))/(a*d^2)+3/2*b^2*f*(e+f*x)^2*polylog(2,exp(2*(c+d*x)))/(a^3*d^2)-3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2)-3*(a^2+b^2)*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2)-6*b*f^3*polylog(3,-exp(c+d*x))/(a^2*d^4)+6*b*f^3*polylog(3,exp(c+d*x))/(a^2*d^4)-3/2*f^2*(e+f*x)*polylog(3,exp(2*(c+d*x)))/(a*d^3)-3/2*b^2*f^2*(e+f*x)*polylog(3,exp(2*(c+d*x)))/(a^3*d^3)+6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^3)+6*(a^2+b^2)*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^3)+3/4*f^3*polylog(4,exp(2*(c+d*x)))/(a*d^4)+3/4*b^2*f^3*polylog(4,exp(2*(c+d*x)))/(a^3*d^4)-6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^4)-6*(a^2+b^2)*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^4)],
[(e+f*x)^2*coth(c+d*x)^3/(a+b*sinh(c+d*x)),x,47,e*f*x/(a*d)+1/2*f^2*x^2/(a*d)-1/3*(e+f*x)^3/(a*f)-1/3*b^2*(e+f*x)^3/(a^3*f)+1/3*(a^2+b^2)*(e+f*x)^3/(a^3*f)+4*b*f*(e+f*x)*arctanh(exp(c+d*x))/(a^2*d^2)-f*(e+f*x)*coth(c+d*x)/(a*d^2)-1/2*(e+f*x)^2*coth(c+d*x)^2/(a*d)+b*(e+f*x)^2*csch(c+d*x)/(a^2*d)+(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a*d)+b^2*(e+f*x)^2*log(1-exp(2*(c+d*x)))/(a^3*d)+f^2*log(sinh(c+d*x))/(a*d^3)-(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d)-(a^2+b^2)*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d)+2*b*f^2*polylog(2,-exp(c+d*x))/(a^2*d^3)-2*b*f^2*polylog(2,exp(c+d*x))/(a^2*d^3)+f*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a*d^2)+b^2*f*(e+f*x)*polylog(2,exp(2*(c+d*x)))/(a^3*d^2)-2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2)-2*(a^2+b^2)*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2)-1/2*f^2*polylog(3,exp(2*(c+d*x)))/(a*d^3)-1/2*b^2*f^2*polylog(3,exp(2*(c+d*x)))/(a^3*d^3)+2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^3)+2*(a^2+b^2)*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^3)],
[(e+f*x)*coth(c+d*x)^3/(a+b*sinh(c+d*x)),x,36,1/2*f*x/(a*d)-1/2*(e+f*x)^2/(a*f)-1/2*b^2*(e+f*x)^2/(a^3*f)+1/2*(a^2+b^2)*(e+f*x)^2/(a^3*f)+b*f*arctanh(cosh(c+d*x))/(a^2*d^2)-1/2*f*coth(c+d*x)/(a*d^2)-1/2*(e+f*x)*coth(c+d*x)^2/(a*d)+b*(e+f*x)*csch(c+d*x)/(a^2*d)+(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d)+b^2*(e+f*x)*log(1-exp(2*(c+d*x)))/(a^3*d)-(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d)-(a^2+b^2)*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d)+1/2*f*polylog(2,exp(2*(c+d*x)))/(a*d^2)+1/2*b^2*f*polylog(2,exp(2*(c+d*x)))/(a^3*d^2)-(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*d^2)-(a^2+b^2)*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*d^2)],
[coth(c+d*x)^3/(a+b*sinh(c+d*x)),x,3,b*csch(c+d*x)/(a^2*d)-1/2*csch(c+d*x)^2/(a*d)+(a^2+b^2)*log(sinh(c+d*x))/(a^3*d)-(a^2+b^2)*log(a+b*sinh(c+d*x))/(a^3*d)],
[coth(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(coth(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)],

# n<0
[(e+f*x)^3*csch(c+d*x)^3*sech(c+d*x)/(a+b*sinh(c+d*x)),x,87,-3/2*f*(e+f*x)^2/(a*d^2)+1/2*(e+f*x)^3/(a*d)+2*b*(e+f*x)^3*arctan(exp(c+d*x))/(a^2*d)-2*b^3*(e+f*x)^3*arctan(exp(c+d*x))/(a^2*(a^2+b^2)*d)+6*b*f*(e+f*x)^2*arctanh(exp(c+d*x))/(a^2*d^2)+2*(e+f*x)^3*arctanh(exp(2*c+2*d*x))/(a*d)-2*b^2*(e+f*x)^3*arctanh(exp(2*c+2*d*x))/(a^3*d)-3/2*f*(e+f*x)^2*coth(c+d*x)/(a*d^2)-1/2*(e+f*x)^3*coth(c+d*x)^2/(a*d)+b*(e+f*x)^3*csch(c+d*x)/(a^2*d)+3*f^2*(e+f*x)*log(1-exp(2*(c+d*x)))/(a*d^3)+b^4*(e+f*x)^3*log(1+exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d)-b^4*(e+f*x)^3*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d)-b^4*(e+f*x)^3*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d)+6*b*f^2*(e+f*x)*polylog(2,-exp(c+d*x))/(a^2*d^3)-3*I*b*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(a^2*d^2)+3*I*b^3*f*(e+f*x)^2*polylog(2,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)+3*I*b*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(a^2*d^2)-3*I*b^3*f*(e+f*x)^2*polylog(2,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)-6*b*f^2*(e+f*x)*polylog(2,exp(c+d*x))/(a^2*d^3)+3/2*b^4*f*(e+f*x)^2*polylog(2,-exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d^2)+3/2*f^3*polylog(2,exp(2*(c+d*x)))/(a*d^4)+3/2*f*(e+f*x)^2*polylog(2,-exp(2*c+2*d*x))/(a*d^2)-3/2*b^2*f*(e+f*x)^2*polylog(2,-exp(2*c+2*d*x))/(a^3*d^2)-3/2*f*(e+f*x)^2*polylog(2,exp(2*c+2*d*x))/(a*d^2)+3/2*b^2*f*(e+f*x)^2*polylog(2,exp(2*c+2*d*x))/(a^3*d^2)-3*b^4*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^2)-3*b^4*f*(e+f*x)^2*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^2)-6*b*f^3*polylog(3,-exp(c+d*x))/(a^2*d^4)+6*I*b*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(a^2*d^3)-6*I*b^3*f^2*(e+f*x)*polylog(3,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^3)-6*I*b*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(a^2*d^3)+6*I*b^3*f^2*(e+f*x)*polylog(3,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^3)+6*b*f^3*polylog(3,exp(c+d*x))/(a^2*d^4)-3/2*b^4*f^2*(e+f*x)*polylog(3,-exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d^3)-3/2*f^2*(e+f*x)*polylog(3,-exp(2*c+2*d*x))/(a*d^3)+3/2*b^2*f^2*(e+f*x)*polylog(3,-exp(2*c+2*d*x))/(a^3*d^3)+3/2*f^2*(e+f*x)*polylog(3,exp(2*c+2*d*x))/(a*d^3)-3/2*b^2*f^2*(e+f*x)*polylog(3,exp(2*c+2*d*x))/(a^3*d^3)+6*b^4*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^3)+6*b^4*f^2*(e+f*x)*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^3)-6*I*b*f^3*polylog(4,-I*exp(c+d*x))/(a^2*d^4)+6*I*b^3*f^3*polylog(4,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^4)+6*I*b*f^3*polylog(4,I*exp(c+d*x))/(a^2*d^4)-6*I*b^3*f^3*polylog(4,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^4)+3/4*b^4*f^3*polylog(4,-exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d^4)+3/4*f^3*polylog(4,-exp(2*c+2*d*x))/(a*d^4)-3/4*b^2*f^3*polylog(4,-exp(2*c+2*d*x))/(a^3*d^4)-3/4*f^3*polylog(4,exp(2*c+2*d*x))/(a*d^4)+3/4*b^2*f^3*polylog(4,exp(2*c+2*d*x))/(a^3*d^4)-6*b^4*f^3*polylog(4,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^4)-6*b^4*f^3*polylog(4,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^4)],
[(e+f*x)^2*csch(c+d*x)^3*sech(c+d*x)/(a+b*sinh(c+d*x)),x,71,e*f*x/(a*d)+1/2*f^2*x^2/(a*d)+2*b*(e+f*x)^2*arctan(exp(c+d*x))/(a^2*d)-2*b^3*(e+f*x)^2*arctan(exp(c+d*x))/(a^2*(a^2+b^2)*d)+4*b*f*(e+f*x)*arctanh(exp(c+d*x))/(a^2*d^2)+2*(e+f*x)^2*arctanh(exp(2*c+2*d*x))/(a*d)-2*b^2*(e+f*x)^2*arctanh(exp(2*c+2*d*x))/(a^3*d)-f*(e+f*x)*coth(c+d*x)/(a*d^2)-1/2*(e+f*x)^2*coth(c+d*x)^2/(a*d)+b*(e+f*x)^2*csch(c+d*x)/(a^2*d)+b^4*(e+f*x)^2*log(1+exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d)+f^2*log(sinh(c+d*x))/(a*d^3)-b^4*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d)-b^4*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d)+2*b*f^2*polylog(2,-exp(c+d*x))/(a^2*d^3)-2*I*b*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a^2*d^2)+2*I*b^3*f*(e+f*x)*polylog(2,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)+2*I*b*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(a^2*d^2)-2*I*b^3*f*(e+f*x)*polylog(2,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)-2*b*f^2*polylog(2,exp(c+d*x))/(a^2*d^3)+b^4*f*(e+f*x)*polylog(2,-exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d^2)+f*(e+f*x)*polylog(2,-exp(2*c+2*d*x))/(a*d^2)-b^2*f*(e+f*x)*polylog(2,-exp(2*c+2*d*x))/(a^3*d^2)-f*(e+f*x)*polylog(2,exp(2*c+2*d*x))/(a*d^2)+b^2*f*(e+f*x)*polylog(2,exp(2*c+2*d*x))/(a^3*d^2)-2*b^4*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^2)-2*b^4*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^2)+2*I*b*f^2*polylog(3,-I*exp(c+d*x))/(a^2*d^3)-2*I*b^3*f^2*polylog(3,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^3)-2*I*b*f^2*polylog(3,I*exp(c+d*x))/(a^2*d^3)+2*I*b^3*f^2*polylog(3,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^3)-1/2*b^4*f^2*polylog(3,-exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d^3)-1/2*f^2*polylog(3,-exp(2*c+2*d*x))/(a*d^3)+1/2*b^2*f^2*polylog(3,-exp(2*c+2*d*x))/(a^3*d^3)+1/2*f^2*polylog(3,exp(2*c+2*d*x))/(a*d^3)-1/2*b^2*f^2*polylog(3,exp(2*c+2*d*x))/(a^3*d^3)+2*b^4*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^3)+2*b^4*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^3)],
[(e+f*x)*csch(c+d*x)^3*sech(c+d*x)/(a+b*sinh(c+d*x)),x,49,1/2*f*x/(a*d)+2*b*f*x*arctan(exp(c+d*x))/(a^2*d)-2*b^3*(e+f*x)*arctan(exp(c+d*x))/(a^2*(a^2+b^2)*d)-b*f*x*arctan(sinh(c+d*x))/(a^2*d)+b*(e+f*x)*arctan(sinh(c+d*x))/(a^2*d)+2*f*x*arctanh(exp(2*c+2*d*x))/(a*d)-2*b^2*(e+f*x)*arctanh(exp(2*c+2*d*x))/(a^3*d)+b*f*arctanh(cosh(c+d*x))/(a^2*d^2)-1/2*f*coth(c+d*x)/(a*d^2)-1/2*(e+f*x)*coth(c+d*x)^2/(a*d)+b*(e+f*x)*csch(c+d*x)/(a^2*d)+b^4*(e+f*x)*log(1+exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d)-b^4*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d)-b^4*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d)+f*x*log(tanh(c+d*x))/(a*d)-(e+f*x)*log(tanh(c+d*x))/(a*d)-I*b*f*polylog(2,-I*exp(c+d*x))/(a^2*d^2)+I*b^3*f*polylog(2,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)+I*b*f*polylog(2,I*exp(c+d*x))/(a^2*d^2)-I*b^3*f*polylog(2,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)+1/2*b^4*f*polylog(2,-exp(2*(c+d*x)))/(a^3*(a^2+b^2)*d^2)+1/2*f*polylog(2,-exp(2*c+2*d*x))/(a*d^2)-1/2*b^2*f*polylog(2,-exp(2*c+2*d*x))/(a^3*d^2)-1/2*f*polylog(2,exp(2*c+2*d*x))/(a*d^2)+1/2*b^2*f*polylog(2,exp(2*c+2*d*x))/(a^3*d^2)-b^4*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^2)-b^4*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)*d^2)],
[csch(c+d*x)^3*sech(c+d*x)/(a+b*sinh(c+d*x)),x,7,b*arctan(sinh(c+d*x))/((a^2+b^2)*d)+b*csch(c+d*x)/(a^2*d)-1/2*csch(c+d*x)^2/(a*d)+a*log(cosh(c+d*x))/((a^2+b^2)*d)-(a^2-b^2)*log(sinh(c+d*x))/(a^3*d)-b^4*log(a+b*sinh(c+d*x))/(a^3*(a^2+b^2)*d)],
[csch(c+d*x)^3*sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^3*sech(c+d*x)/((e+f*x)*(a+b*sinh(c+d*x))),x)],

#  {((e + f*x)^3*Csch[c + d*x]^3*Sech[c + d*x]^2)/(a + b*Sinh[c + d*x]), x, 251, (2*b^3*e^3*(a - b*E^(c + d*x)))/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (6*b^3*e^2*f*x)/(a^2*(a^2 + b^2)*d) + (6*b^3*e^2*f*x)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (6*b^4*e^2*E^(c + d*x)*f*x)/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (6*b^3*e*f^2*x^2)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (6*b^4*e*E^(c + d*x)*f^2*x^2)/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (2*b^3*f^3*x^3)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (2*b^4*E^(c + d*x)*f^3*x^3)/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (2*b*(e + f*x)^3)/(a^2*d) + (6*b^4*e^2*f*ArcTan[E^(c + d*x)])/(a^3*(a^2 + b^2)*d^2) + (12*e*f^2*x*ArcTan[E^(c + d*x)])/(a*d^2) + (12*b^4*e*f^2*x*ArcTan[E^(c + d*x)])/(a^3*(a^2 + b^2)*d^2) + (6*f^3*x^2*ArcTan[E^(c + d*x)])/(a*d^2) + (6*b^4*f^3*x^2*ArcTan[E^(c + d*x)])/(a^3*(a^2 + b^2)*d^2) - (6*b^2*f*(e + f*x)^2*ArcTan[E^(c + d*x)])/(a^3*d^2) + (3*e^2*f*ArcTan[Sinh[c + d*x]])/(a*d^2) - (6*f^3*x*ArcTanh[E^(c + d*x)])/(a*d^3) + (3*(e + f*x)^3*ArcTanh[E^(c + d*x)])/(a*d) - (2*b^2*(e + f*x)^3*ArcTanh[E^(c + d*x)])/(a^3*d) - (3*e*f^2*ArcTanh[Cosh[c + d*x]])/(a*d^3) + (2*b*(e + f*x)^3*Coth[2*c + 2*d*x])/(a^2*d) - (3*e^2*f*Csch[c + d*x])/(2*a*d^2) - (3*e*f^2*x*Csch[c + d*x])/(a*d^2) - (3*f^3*x^2*Csch[c + d*x])/(2*a*d^2) + (6*b^3*e*f^2*x*Log[1 + E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d^2) + (3*b^3*f^3*x^2*Log[1 + E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d^2) - (b^5*(e + f*x)^3*Log[1 + (b*E^(c + d*x))/(a - Sqrt[a^2 + b^2])])/(a^3*(a^2 + b^2)^(3/2)*d) + (b^5*(e + f*x)^3*Log[1 + (b*E^(c + d*x))/(a + Sqrt[a^2 + b^2])])/(a^3*(a^2 + b^2)^(3/2)*d) - (3*b*f*(e + f*x)^2*Log[1 - E^(4*(c + d*x))])/(a^2*d^2) + (3*b^3*e^2*f*Log[1 + E^(2*c + 2*d*x)])/(a^2*(a^2 + b^2)*d^2) - (3*b^3*e*f^2*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d^3) - (3*b^3*f^3*x*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^2*(a^2 + b^2)*d^3) - (3*f^3*PolyLog[2, -E^(c + d*x)])/(a*d^4) + (9*f*(e + f*x)^2*PolyLog[2, -E^(c + d*x)])/(2*a*d^2) - (3*b^2*f*(e + f*x)^2*PolyLog[2, -E^(c + d*x)])/(a^3*d^2) - ((6*I)*e*f^2*PolyLog[2, (-I)*E^(c + d*x)])/(a*d^3) - ((6*I)*b^4*e*f^2*PolyLog[2, (-I)*E^(c + d*x)])/(a^3*(a^2 + b^2)*d^3) - ((6*I)*f^3*x*PolyLog[2, (-I)*E^(c + d*x)])/(a*d^3) - ((6*I)*b^4*f^3*x*PolyLog[2, (-I)*E^(c + d*x)])/(a^3*(a^2 + b^2)*d^3) + ((6*I)*b^2*f^2*(e + f*x)*PolyLog[2, (-I)*E^(c + d*x)])/(a^3*d^3) + ((6*I)*e*f^2*PolyLog[2, I*E^(c + d*x)])/(a*d^3) + ((6*I)*b^4*e*f^2*PolyLog[2, I*E^(c + d*x)])/(a^3*(a^2 + b^2)*d^3) + ((6*I)*f^3*x*PolyLog[2, I*E^(c + d*x)])/(a*d^3) + ((6*I)*b^4*f^3*x*PolyLog[2, I*E^(c + d*x)])/(a^3*(a^2 + b^2)*d^3) - ((6*I)*b^2*f^2*(e + f*x)*PolyLog[2, I*E^(c + d*x)])/(a^3*d^3) + (3*f^3*PolyLog[2, E^(c + d*x)])/(a*d^4) - (9*f*(e + f*x)^2*PolyLog[2, E^(c + d*x)])/(2*a*d^2) + (3*b^2*f*(e + f*x)^2*PolyLog[2, E^(c + d*x)])/(a^3*d^2) - (3*b^5*f*(e + f*x)^2*PolyLog[2, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/(a^3*(a^2 + b^2)^(3/2)*d^2) + (3*b^5*f*(e + f*x)^2*PolyLog[2, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/(a^3*(a^2 + b^2)^(3/2)*d^2) - (3*b*f^2*(e + f*x)*PolyLog[2, E^(4*(c + d*x))])/(2*a^2*d^3) - (3*b^3*f^3*PolyLog[3, -E^(-2*c - 2*d*x)])/(2*a^2*(a^2 + b^2)*d^4) - (9*f^2*(e + f*x)*PolyLog[3, -E^(c + d*x)])/(a*d^3) + (6*b^2*f^2*(e + f*x)*PolyLog[3, -E^(c + d*x)])/(a^3*d^3) + ((6*I)*f^3*PolyLog[3, (-I)*E^(c + d*x)])/(a*d^4) - ((6*I)*b^2*f^3*PolyLog[3, (-I)*E^(c + d*x)])/(a^3*d^4) + ((6*I)*b^4*f^3*PolyLog[3, (-I)*E^(c + d*x)])/(a^3*(a^2 + b^2)*d^4) - ((6*I)*f^3*PolyLog[3, I*E^(c + d*x)])/(a*d^4) + ((6*I)*b^2*f^3*PolyLog[3, I*E^(c + d*x)])/(a^3*d^4) - ((6*I)*b^4*f^3*PolyLog[3, I*E^(c + d*x)])/(a^3*(a^2 + b^2)*d^4) + (9*f^2*(e + f*x)*PolyLog[3, E^(c + d*x)])/(a*d^3) - (6*b^2*f^2*(e + f*x)*PolyLog[3, E^(c + d*x)])/(a^3*d^3) + (6*b^5*f^2*(e + f*x)*PolyLog[3, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/(a^3*(a^2 + b^2)^(3/2)*d^3) - (6*b^5*f^2*(e + f*x)*PolyLog[3, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/(a^3*(a^2 + b^2)^(3/2)*d^3) + (3*b*f^3*PolyLog[3, E^(4*(c + d*x))])/(8*a^2*d^4) + (9*f^3*PolyLog[4, -E^(c + d*x)])/(a*d^4) - (6*b^2*f^3*PolyLog[4, -E^(c + d*x)])/(a^3*d^4) - (9*f^3*PolyLog[4, E^(c + d*x)])/(a*d^4) + (6*b^2*f^3*PolyLog[4, E^(c + d*x)])/(a^3*d^4) - (6*b^5*f^3*PolyLog[4, -((b*E^(c + d*x))/(a - Sqrt[a^2 + b^2]))])/(a^3*(a^2 + b^2)^(3/2)*d^4) + (6*b^5*f^3*PolyLog[4, -((b*E^(c + d*x))/(a + Sqrt[a^2 + b^2]))])/(a^3*(a^2 + b^2)^(3/2)*d^4) - (3*(e + f*x)^3*Sech[c + d*x])/(2*a*d) + (b^2*(e + f*x)^3*Sech[c + d*x])/(a^3*d) - ((e + f*x)^3*Csch[c + d*x]^2*Sech[c + d*x])/(2*a*d)} 
[(e+f*x)^2*csch(c+d*x)^3*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,88,2*b*(e+f*x)^2/(a^2*d)-b^3*(e+f*x)^2/(a^2*(a^2+b^2)*d)+4*f^2*x*arctan(exp(c+d*x))/(a*d^2)-4*b^2*f*(e+f*x)*arctan(exp(c+d*x))/(a^3*d^2)+4*b^4*f*(e+f*x)*arctan(exp(c+d*x))/(a^3*(a^2+b^2)*d^2)+2*e*f*arctan(sinh(c+d*x))/(a*d^2)+3*(e+f*x)^2*arctanh(exp(c+d*x))/(a*d)-2*b^2*(e+f*x)^2*arctanh(exp(c+d*x))/(a^3*d)-f^2*arctanh(cosh(c+d*x))/(a*d^3)+2*b*(e+f*x)^2*coth(2*c+2*d*x)/(a^2*d)-e*f*csch(c+d*x)/(a*d^2)-f^2*x*csch(c+d*x)/(a*d^2)+2*b^3*f*(e+f*x)*log(1+exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^2)-2*b*f*(e+f*x)*log(1-exp(4*(c+d*x)))/(a^2*d^2)-b^5*(e+f*x)^2*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d)+b^5*(e+f*x)^2*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d)+3*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a*d^2)-2*b^2*f*(e+f*x)*polylog(2,-exp(c+d*x))/(a^3*d^2)-2*I*f^2*polylog(2,-I*exp(c+d*x))/(a*d^3)+2*I*b^2*f^2*polylog(2,-I*exp(c+d*x))/(a^3*d^3)-2*I*b^4*f^2*polylog(2,-I*exp(c+d*x))/(a^3*(a^2+b^2)*d^3)+2*I*f^2*polylog(2,I*exp(c+d*x))/(a*d^3)-2*I*b^2*f^2*polylog(2,I*exp(c+d*x))/(a^3*d^3)+2*I*b^4*f^2*polylog(2,I*exp(c+d*x))/(a^3*(a^2+b^2)*d^3)-3*f*(e+f*x)*polylog(2,exp(c+d*x))/(a*d^2)+2*b^2*f*(e+f*x)*polylog(2,exp(c+d*x))/(a^3*d^2)+b^3*f^2*polylog(2,-exp(2*(c+d*x)))/(a^2*(a^2+b^2)*d^3)-1/2*b*f^2*polylog(2,exp(4*(c+d*x)))/(a^2*d^3)-2*b^5*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d^2)+2*b^5*f*(e+f*x)*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d^2)-3*f^2*polylog(3,-exp(c+d*x))/(a*d^3)+2*b^2*f^2*polylog(3,-exp(c+d*x))/(a^3*d^3)+3*f^2*polylog(3,exp(c+d*x))/(a*d^3)-2*b^2*f^2*polylog(3,exp(c+d*x))/(a^3*d^3)+2*b^5*f^2*polylog(3,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d^3)-2*b^5*f^2*polylog(3,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d^3)-3/2*(e+f*x)^2*sech(c+d*x)/(a*d)+b^2*(e+f*x)^2*sech(c+d*x)/(a^3*d)-b^4*(e+f*x)^2*sech(c+d*x)/(a^3*(a^2+b^2)*d)-1/2*(e+f*x)^2*csch(c+d*x)^2*sech(c+d*x)/(a*d)-b^3*(e+f*x)^2*tanh(c+d*x)/(a^2*(a^2+b^2)*d)],
[(e+f*x)*csch(c+d*x)^3*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,44,f*arctan(sinh(c+d*x))/(a*d^2)-b^2*f*arctan(sinh(c+d*x))/(a^3*d^2)+b^4*f*arctan(sinh(c+d*x))/(a^3*(a^2+b^2)*d^2)+3*f*x*arctanh(exp(c+d*x))/(a*d)-2*b^2*f*x*arctanh(exp(c+d*x))/(a^3*d)-3/2*f*x*arctanh(cosh(c+d*x))/(a*d)+b^2*f*x*arctanh(cosh(c+d*x))/(a^3*d)+3/2*(e+f*x)*arctanh(cosh(c+d*x))/(a*d)-b^2*(e+f*x)*arctanh(cosh(c+d*x))/(a^3*d)+2*b*(e+f*x)*coth(2*c+2*d*x)/(a^2*d)-1/2*f*csch(c+d*x)/(a*d^2)+b^3*f*log(cosh(c+d*x))/(a^2*(a^2+b^2)*d^2)-b*f*log(sinh(2*c+2*d*x))/(a^2*d^2)-b^5*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d)+b^5*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d)+3/2*f*polylog(2,-exp(c+d*x))/(a*d^2)-b^2*f*polylog(2,-exp(c+d*x))/(a^3*d^2)-3/2*f*polylog(2,exp(c+d*x))/(a*d^2)+b^2*f*polylog(2,exp(c+d*x))/(a^3*d^2)-b^5*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d^2)+b^5*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^(3/2)*d^2)-3/2*(e+f*x)*sech(c+d*x)/(a*d)+b^2*(e+f*x)*sech(c+d*x)/(a^3*d)-b^4*(e+f*x)*sech(c+d*x)/(a^3*(a^2+b^2)*d)-1/2*(e+f*x)*csch(c+d*x)^2*sech(c+d*x)/(a*d)-b^3*(e+f*x)*tanh(c+d*x)/(a^2*(a^2+b^2)*d)],
[csch(c+d*x)^3*sech(c+d*x)^2/(a+b*sinh(c+d*x)),x,17,3/2*arctanh(cosh(c+d*x))/(a*d)-b^2*arctanh(cosh(c+d*x))/(a^3*d)+2*b^5*arctanh((b-a*tanh(1/2*(c+d*x)))/sqrt(a^2+b^2))/(a^3*(a^2+b^2)^(3/2)*d)+b*coth(c+d*x)/(a^2*d)-3/2*sech(c+d*x)/(a*d)+b^2*sech(c+d*x)/(a^3*d)-1/2*csch(c+d*x)^2*sech(c+d*x)/(a*d)-b^3*sech(c+d*x)*(b+a*sinh(c+d*x))/(a^3*(a^2+b^2)*d)+b*tanh(c+d*x)/(a^2*d)],
[csch(c+d*x)^3*sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^3*sech(c+d*x)^2/((e+f*x)*(a+b*sinh(c+d*x))),x)],

#  {((e + f*x)^2*Csch[c + d*x]^3*Sech[c + d*x]^3)/(a + b*Sinh[c + d*x]), x, 244, (2*b^3*e^2*(b + a*E^(c + d*x)))/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) - (2*b^3*e^2*(3*b + 2*a*E^(c + d*x)))/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (b^3*e^2*(4*b + 3*a*E^(c + d*x)))/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (2*b^4*e*f)/(a^3*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) - (2*b^3*e*E^(c + d*x)*f)/(a^2*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) - (4*b^4*e^2*x)/(a^3*(a^2 + b^2)) + (2*b^4*(2*a^2 + b^2)*e^2*x)/(a^3*(a^2 + b^2)^2) + (b^2*e*f*x)/(a^3*d) + (4*b^4*e*f*x)/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) + (4*b^3*e*E^(c + d*x)*f*x)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) - (4*b^4*e*f*x)/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (2*b^3*e*E^(c + d*x)*f*x)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) + (2*b^4*f^2*x)/(a^3*(a^2 + b^2)*d^2) - (2*b^4*f^2*x)/(a^3*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) - (2*b^3*E^(c + d*x)*f^2*x)/(a^2*(a^2 + b^2)*d^2*(1 + E^(2*c + 2*d*x))) + (b^2*f^2*x^2)/(2*a^3*d) + (2*b^4*f^2*x^2)/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) + (2*b^3*E^(c + d*x)*f^2*x^2)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))^2) - (2*b^4*f^2*x^2)/(a^3*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (b^3*E^(c + d*x)*f^2*x^2)/(a^2*(a^2 + b^2)*d*(1 + E^(2*c + 2*d*x))) - (2*b^5*e^2*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d) - (b^3*e^2*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)*d) + (2*b^3*f^2*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)*d^3) - (4*b^5*e*f*x*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d) - (2*b^3*e*f*x*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)*d) - (2*b^5*f^2*x^2*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d) - (b^3*f^2*x^2*ArcTan[E^(c + d*x)])/(a^2*(a^2 + b^2)*d) + (3*b*(e + f*x)^2*ArcTan[E^(c + d*x)])/(a^2*d) - (b*f^2*ArcTan[Sinh[c + d*x]])/(a^2*d^3) - (2*b*f^2*x*ArcTanh[E^(c + d*x)])/(a^2*d^2) + (6*b*f*(e + f*x)*ArcTanh[E^(c + d*x)])/(a^2*d^2) + (4*(e + f*x)^2*ArcTanh[E^(2*c + 2*d*x)])/(a*d) - (2*b^2*(e + f*x)^2*ArcTanh[E^(2*c + 2*d*x)])/(a^3*d) + (b*f^2*x*ArcTanh[Cosh[c + d*x]])/(a^2*d^2) - (b*f*(e + f*x)*ArcTanh[Cosh[c + d*x]])/(a^2*d^2) - (f^2*ArcTanh[Cosh[2*c + 2*d*x]])/(a*d^3) + (3*b*(e + f*x)^2*Csch[c + d*x])/(2*a^2*d) - (2*f*(e + f*x)*Csch[2*c + 2*d*x])/(a*d^2) - (2*(e + f*x)^2*Coth[2*c + 2*d*x]*Csch[2*c + 2*d*x])/(a*d) + (4*b^4*e*f*x*Log[1 + E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)*d) - (2*b^4*(2*a^2 + b^2)*e*f*x*Log[1 + E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)^2*d) + (2*b^4*f^2*x^2*Log[1 + E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)*d) - (b^4*(2*a^2 + b^2)*f^2*x^2*Log[1 + E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)^2*d) - (b^6*(e + f*x)^2*Log[1 + ((a - Sqrt[a^2 + b^2])*E^(-c - d*x))/b])/(a^3*(a^2 + b^2)^2*d) - (b^6*(e + f*x)^2*Log[1 + ((a + Sqrt[a^2 + b^2])*E^(-c - d*x))/b])/(a^3*(a^2 + b^2)^2*d) + (2*b^4*e^2*Log[1 + E^(2*c + 2*d*x)])/(a^3*(a^2 + b^2)*d) - (b^4*(2*a^2 + b^2)*e^2*Log[1 + E^(2*c + 2*d*x)])/(a^3*(a^2 + b^2)^2*d) - (b^4*f^2*Log[1 + E^(2*c + 2*d*x)])/(a^3*(a^2 + b^2)*d^3) + (b^2*f^2*Log[Cosh[c + d*x]])/(a^3*d^3) - (2*b^4*e*f*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)*d^2) + (b^4*(2*a^2 + b^2)*e*f*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)^2*d^2) - (2*b^4*f^2*x*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)*d^2) + (b^4*(2*a^2 + b^2)*f^2*x*PolyLog[2, -E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)^2*d^2) + (2*b^6*f*(e + f*x)*PolyLog[2, -(((a - Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^3*(a^2 + b^2)^2*d^2) + (2*b^6*f*(e + f*x)*PolyLog[2, -(((a + Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^3*(a^2 + b^2)^2*d^2) + (2*b*f^2*PolyLog[2, -E^(c + d*x)])/(a^2*d^3) + ((2*I)*b^5*e*f*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d^2) + (I*b^3*e*f*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^2) + ((2*I)*b^5*f^2*x*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d^2) + (I*b^3*f^2*x*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^2) - ((3*I)*b*f*(e + f*x)*PolyLog[2, (-I)*E^(c + d*x)])/(a^2*d^2) - ((2*I)*b^5*e*f*PolyLog[2, I*E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d^2) - (I*b^3*e*f*PolyLog[2, I*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^2) - ((2*I)*b^5*f^2*x*PolyLog[2, I*E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d^2) - (I*b^3*f^2*x*PolyLog[2, I*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^2) + ((3*I)*b*f*(e + f*x)*PolyLog[2, I*E^(c + d*x)])/(a^2*d^2) - (2*b*f^2*PolyLog[2, E^(c + d*x)])/(a^2*d^3) + (2*f*(e + f*x)*PolyLog[2, -E^(2*c + 2*d*x)])/(a*d^2) - (b^2*f*(e + f*x)*PolyLog[2, -E^(2*c + 2*d*x)])/(a^3*d^2) - (2*f*(e + f*x)*PolyLog[2, E^(2*c + 2*d*x)])/(a*d^2) + (b^2*f*(e + f*x)*PolyLog[2, E^(2*c + 2*d*x)])/(a^3*d^2) - (b^4*f^2*PolyLog[3, -E^(-2*c - 2*d*x)])/(a^3*(a^2 + b^2)*d^3) + (b^4*(2*a^2 + b^2)*f^2*PolyLog[3, -E^(-2*c - 2*d*x)])/(2*a^3*(a^2 + b^2)^2*d^3) + (2*b^6*f^2*PolyLog[3, -(((a - Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^3*(a^2 + b^2)^2*d^3) + (2*b^6*f^2*PolyLog[3, -(((a + Sqrt[a^2 + b^2])*E^(-c - d*x))/b)])/(a^3*(a^2 + b^2)^2*d^3) + ((3*I)*b*f^2*PolyLog[3, (-I)*E^(c + d*x)])/(a^2*d^3) - ((2*I)*b^5*f^2*PolyLog[3, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d^3) - (I*b^3*f^2*PolyLog[3, (-I)*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^3) - ((3*I)*b*f^2*PolyLog[3, I*E^(c + d*x)])/(a^2*d^3) + ((2*I)*b^5*f^2*PolyLog[3, I*E^(c + d*x)])/(a^2*(a^2 + b^2)^2*d^3) + (I*b^3*f^2*PolyLog[3, I*E^(c + d*x)])/(a^2*(a^2 + b^2)*d^3) - (f^2*PolyLog[3, -E^(2*c + 2*d*x)])/(a*d^3) + (b^2*f^2*PolyLog[3, -E^(2*c + 2*d*x)])/(2*a^3*d^3) + (f^2*PolyLog[3, E^(2*c + 2*d*x)])/(a*d^3) - (b^2*f^2*PolyLog[3, E^(2*c + 2*d*x)])/(2*a^3*d^3) + (b*f*(e + f*x)*Sech[c + d*x])/(a^2*d^2) - (b*(e + f*x)^2*Csch[c + d*x]*Sech[c + d*x]^2)/(2*a^2*d) - (b^2*f*(e + f*x)*Tanh[c + d*x])/(a^3*d^2) - (b^2*(e + f*x)^2*Tanh[c + d*x]^2)/(2*a^3*d)} 
[(e+f*x)*csch(c+d*x)^3*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,65,1/2*b^2*f*x/(a^3*d)+3*b*f*x*arctan(exp(c+d*x))/(a^2*d)-2*b^5*(e+f*x)*arctan(exp(c+d*x))/(a^2*(a^2+b^2)^2*d)-b^3*(e+f*x)*arctan(exp(c+d*x))/(a^2*(a^2+b^2)*d)-3/2*b*f*x*arctan(sinh(c+d*x))/(a^2*d)+3/2*b*(e+f*x)*arctan(sinh(c+d*x))/(a^2*d)-2*b^2*f*x*arctanh(exp(2*c+2*d*x))/(a^3*d)+4*(e+f*x)*arctanh(exp(2*c+2*d*x))/(a*d)+b*f*arctanh(cosh(c+d*x))/(a^2*d^2)+3/2*b*(e+f*x)*csch(c+d*x)/(a^2*d)-f*csch(2*c+2*d*x)/(a*d^2)-2*(e+f*x)*coth(2*c+2*d*x)*csch(2*c+2*d*x)/(a*d)+b^6*(e+f*x)*log(1+exp(2*(c+d*x)))/(a^3*(a^2+b^2)^2*d)-b^6*(e+f*x)*log(1+b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^2*d)-b^6*(e+f*x)*log(1+b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^2*d)-b^2*f*x*log(tanh(c+d*x))/(a^3*d)+b^2*(e+f*x)*log(tanh(c+d*x))/(a^3*d)-3/2*I*b*f*polylog(2,-I*exp(c+d*x))/(a^2*d^2)+I*b^5*f*polylog(2,-I*exp(c+d*x))/(a^2*(a^2+b^2)^2*d^2)+1/2*I*b^3*f*polylog(2,-I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)+3/2*I*b*f*polylog(2,I*exp(c+d*x))/(a^2*d^2)-I*b^5*f*polylog(2,I*exp(c+d*x))/(a^2*(a^2+b^2)^2*d^2)-1/2*I*b^3*f*polylog(2,I*exp(c+d*x))/(a^2*(a^2+b^2)*d^2)+1/2*b^6*f*polylog(2,-exp(2*(c+d*x)))/(a^3*(a^2+b^2)^2*d^2)+f*polylog(2,-exp(2*c+2*d*x))/(a*d^2)-1/2*b^2*f*polylog(2,-exp(2*c+2*d*x))/(a^3*d^2)-f*polylog(2,exp(2*c+2*d*x))/(a*d^2)+1/2*b^2*f*polylog(2,exp(2*c+2*d*x))/(a^3*d^2)-b^6*f*polylog(2,-b*exp(c+d*x)/(a-sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^2*d^2)-b^6*f*polylog(2,-b*exp(c+d*x)/(a+sqrt(a^2+b^2)))/(a^3*(a^2+b^2)^2*d^2)+1/2*b*f*sech(c+d*x)/(a^2*d^2)-1/2*b^3*f*sech(c+d*x)/(a^2*(a^2+b^2)*d^2)-1/2*b^4*(e+f*x)*sech(c+d*x)^2/(a^3*(a^2+b^2)*d)-1/2*b*(e+f*x)*csch(c+d*x)*sech(c+d*x)^2/(a^2*d)-1/2*b^2*f*tanh(c+d*x)/(a^3*d^2)+1/2*b^4*f*tanh(c+d*x)/(a^3*(a^2+b^2)*d^2)-1/2*b^3*(e+f*x)*sech(c+d*x)*tanh(c+d*x)/(a^2*(a^2+b^2)*d)-1/2*b^2*(e+f*x)*tanh(c+d*x)^2/(a^3*d)],
[csch(c+d*x)^3*sech(c+d*x)^3/(a+b*sinh(c+d*x)),x,9,1/2*b*arctan(sinh(c+d*x))/((a^2+b^2)*d)+b*(a^2+2*b^2)*arctan(sinh(c+d*x))/((a^2+b^2)^2*d)+b*csch(c+d*x)/(a^2*d)-1/2*csch(c+d*x)^2/(a*d)+a*(2*a^2+3*b^2)*log(cosh(c+d*x))/((a^2+b^2)^2*d)-(2*a^2-b^2)*log(sinh(c+d*x))/(a^3*d)-b^6*log(a+b*sinh(c+d*x))/(a^3*(a^2+b^2)^2*d)-1/2*sech(c+d*x)^2*(a-b*sinh(c+d*x))/((a^2+b^2)*d)],
[csch(c+d*x)^3*sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x,0,Unintegrable(csch(c+d*x)^3*sech(c+d*x)^3/((e+f*x)*(a+b*sinh(c+d*x))),x)]]:

# Integrands of the form (e+f x)^m Cosh[c+d x]^n Csch[c+d x]^p / (a+b Sinh[c+d x])^2
