# Maple integration test file: "6 Hyperbolic functions\6.2 Hyperbolic cosine\6.2.2 (e x)^m (a+b x^n)^p cosh.txt"

lst:=[

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

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

# p>0
[x^3*(a+b*x)*cosh(c+d*x),x,11,-6*a*cosh(c+d*x)/d^4-24*b*x*cosh(c+d*x)/d^4-3*a*x^2*cosh(c+d*x)/d^2-4*b*x^3*cosh(c+d*x)/d^2+24*b*sinh(c+d*x)/d^5+6*a*x*sinh(c+d*x)/d^3+12*b*x^2*sinh(c+d*x)/d^3+a*x^3*sinh(c+d*x)/d+b*x^4*sinh(c+d*x)/d],
[x^2*(a+b*x)*cosh(c+d*x),x,9,-6*b*cosh(c+d*x)/d^4-2*a*x*cosh(c+d*x)/d^2-3*b*x^2*cosh(c+d*x)/d^2+2*a*sinh(c+d*x)/d^3+6*b*x*sinh(c+d*x)/d^3+a*x^2*sinh(c+d*x)/d+b*x^3*sinh(c+d*x)/d],
[x*(a+b*x)*cosh(c+d*x),x,7,-a*cosh(c+d*x)/d^2-2*b*x*cosh(c+d*x)/d^2+2*b*sinh(c+d*x)/d^3+a*x*sinh(c+d*x)/d+b*x^2*sinh(c+d*x)/d],
[(a+b*x)*cosh(c+d*x),x,2,-b*cosh(c+d*x)/d^2+(a+b*x)*sinh(c+d*x)/d],
[(a+b*x)*cosh(c+d*x)/x,x,6,a*Chi(d*x)*cosh(c)+a*Shi(d*x)*sinh(c)+b*sinh(c+d*x)/d],
[(a+b*x)*cosh(c+d*x)/x^2,x,9,b*Chi(d*x)*cosh(c)-a*cosh(c+d*x)/x+a*d*cosh(c)*Shi(d*x)+a*d*Chi(d*x)*sinh(c)+b*Shi(d*x)*sinh(c)],
[(a+b*x)*cosh(c+d*x)/x^3,x,11,1/2*a*d^2*Chi(d*x)*cosh(c)-1/2*a*cosh(c+d*x)/x^2-b*cosh(c+d*x)/x+b*d*cosh(c)*Shi(d*x)+b*d*Chi(d*x)*sinh(c)+1/2*a*d^2*Shi(d*x)*sinh(c)-1/2*a*d*sinh(c+d*x)/x],
[(a+b*x)*cosh(c+d*x)/x^4,x,13,1/2*b*d^2*Chi(d*x)*cosh(c)-1/3*a*cosh(c+d*x)/x^3-1/2*b*cosh(c+d*x)/x^2-1/6*a*d^2*cosh(c+d*x)/x+1/6*a*d^3*cosh(c)*Shi(d*x)+1/6*a*d^3*Chi(d*x)*sinh(c)+1/2*b*d^2*Shi(d*x)*sinh(c)-1/6*a*d*sinh(c+d*x)/x^2-1/2*b*d*sinh(c+d*x)/x],
[(a+b*x)*cosh(c+d*x)/x^5,x,15,1/24*a*d^4*Chi(d*x)*cosh(c)-1/4*a*cosh(c+d*x)/x^4-1/3*b*cosh(c+d*x)/x^3-1/24*a*d^2*cosh(c+d*x)/x^2-1/6*b*d^2*cosh(c+d*x)/x+1/6*b*d^3*cosh(c)*Shi(d*x)+1/6*b*d^3*Chi(d*x)*sinh(c)+1/24*a*d^4*Shi(d*x)*sinh(c)-1/12*a*d*sinh(c+d*x)/x^3-1/6*b*d*sinh(c+d*x)/x^2-1/24*a*d^3*sinh(c+d*x)/x],
[x^2*(a+b*x)^2*cosh(c+d*x),x,14,-12*a*b*cosh(c+d*x)/d^4-24*b^2*x*cosh(c+d*x)/d^4-2*a^2*x*cosh(c+d*x)/d^2-6*a*b*x^2*cosh(c+d*x)/d^2-4*b^2*x^3*cosh(c+d*x)/d^2+24*b^2*sinh(c+d*x)/d^5+2*a^2*sinh(c+d*x)/d^3+12*a*b*x*sinh(c+d*x)/d^3+12*b^2*x^2*sinh(c+d*x)/d^3+a^2*x^2*sinh(c+d*x)/d+2*a*b*x^3*sinh(c+d*x)/d+b^2*x^4*sinh(c+d*x)/d],
[x*(a+b*x)^2*cosh(c+d*x),x,11,-6*b^2*cosh(c+d*x)/d^4-a^2*cosh(c+d*x)/d^2-4*a*b*x*cosh(c+d*x)/d^2-3*b^2*x^2*cosh(c+d*x)/d^2+4*a*b*sinh(c+d*x)/d^3+6*b^2*x*sinh(c+d*x)/d^3+a^2*x*sinh(c+d*x)/d+2*a*b*x^2*sinh(c+d*x)/d+b^2*x^3*sinh(c+d*x)/d],
[(a+b*x)^2*cosh(c+d*x),x,3,-2*b*(a+b*x)*cosh(c+d*x)/d^2+2*b^2*sinh(c+d*x)/d^3+(a+b*x)^2*sinh(c+d*x)/d],
[(a+b*x)^2*cosh(c+d*x)/x,x,8,a^2*Chi(d*x)*cosh(c)-b^2*cosh(c+d*x)/d^2+a^2*Shi(d*x)*sinh(c)+2*a*b*sinh(c+d*x)/d+b^2*x*sinh(c+d*x)/d],
[(a+b*x)^2*cosh(c+d*x)/x^2,x,10,2*a*b*Chi(d*x)*cosh(c)-a^2*cosh(c+d*x)/x+a^2*d*cosh(c)*Shi(d*x)+a^2*d*Chi(d*x)*sinh(c)+2*a*b*Shi(d*x)*sinh(c)+b^2*sinh(c+d*x)/d],
[(a+b*x)^2*cosh(c+d*x)/x^3,x,14,b^2*Chi(d*x)*cosh(c)+1/2*a^2*d^2*Chi(d*x)*cosh(c)-1/2*a^2*cosh(c+d*x)/x^2-2*a*b*cosh(c+d*x)/x+2*a*b*d*cosh(c)*Shi(d*x)+2*a*b*d*Chi(d*x)*sinh(c)+b^2*Shi(d*x)*sinh(c)+1/2*a^2*d^2*Shi(d*x)*sinh(c)-1/2*a^2*d*sinh(c+d*x)/x],
[(a+b*x)^2*cosh(c+d*x)/x^4,x,17,a*b*d^2*Chi(d*x)*cosh(c)-1/3*a^2*cosh(c+d*x)/x^3-a*b*cosh(c+d*x)/x^2-b^2*cosh(c+d*x)/x-1/6*a^2*d^2*cosh(c+d*x)/x+b^2*d*cosh(c)*Shi(d*x)+1/6*a^2*d^3*cosh(c)*Shi(d*x)+b^2*d*Chi(d*x)*sinh(c)+1/6*a^2*d^3*Chi(d*x)*sinh(c)+a*b*d^2*Shi(d*x)*sinh(c)-1/6*a^2*d*sinh(c+d*x)/x^2-a*b*d*sinh(c+d*x)/x],
[(a+b*x)^2*cosh(c+d*x)/x^5,x,20,1/2*b^2*d^2*Chi(d*x)*cosh(c)+1/24*a^2*d^4*Chi(d*x)*cosh(c)-1/4*a^2*cosh(c+d*x)/x^4-2/3*a*b*cosh(c+d*x)/x^3-1/2*b^2*cosh(c+d*x)/x^2-1/24*a^2*d^2*cosh(c+d*x)/x^2-1/3*a*b*d^2*cosh(c+d*x)/x+1/3*a*b*d^3*cosh(c)*Shi(d*x)+1/3*a*b*d^3*Chi(d*x)*sinh(c)+1/2*b^2*d^2*Shi(d*x)*sinh(c)+1/24*a^2*d^4*Shi(d*x)*sinh(c)-1/12*a^2*d*sinh(c+d*x)/x^3-1/3*a*b*d*sinh(c+d*x)/x^2-1/2*b^2*d*sinh(c+d*x)/x-1/24*a^2*d^3*sinh(c+d*x)/x],

# p<0
[x^4*cosh(c+d*x)/(a+b*x),x,15,a^4*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^5-6*cosh(c+d*x)/(b*d^4)-a^2*cosh(c+d*x)/(b^3*d^2)+2*a*x*cosh(c+d*x)/(b^2*d^2)-3*x^2*cosh(c+d*x)/(b*d^2)+a^4*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^5-2*a*sinh(c+d*x)/(b^2*d^3)-a^3*sinh(c+d*x)/(b^4*d)+6*x*sinh(c+d*x)/(b*d^3)+a^2*x*sinh(c+d*x)/(b^3*d)-a*x^2*sinh(c+d*x)/(b^2*d)+x^3*sinh(c+d*x)/(b*d)],
[x^3*cosh(c+d*x)/(a+b*x),x,11,-a^3*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^4+a*cosh(c+d*x)/(b^2*d^2)-2*x*cosh(c+d*x)/(b*d^2)-a^3*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^4+2*sinh(c+d*x)/(b*d^3)+a^2*sinh(c+d*x)/(b^3*d)-a*x*sinh(c+d*x)/(b^2*d)+x^2*sinh(c+d*x)/(b*d)],
[x^2*cosh(c+d*x)/(a+b*x),x,8,a^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^3-cosh(c+d*x)/(b*d^2)+a^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^3-a*sinh(c+d*x)/(b^2*d)+x*sinh(c+d*x)/(b*d)],
[x*cosh(c+d*x)/(a+b*x),x,6,-a*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^2-a*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^2+sinh(c+d*x)/(b*d)],
[cosh(c+d*x)/(a+b*x),x,3,Chi(a*d/b+d*x)*cosh(c-a*d/b)/b+Shi(a*d/b+d*x)*sinh(c-a*d/b)/b],
[cosh(c+d*x)/(x*(a+b*x)),x,8,Chi(d*x)*cosh(c)/a-Chi(a*d/b+d*x)*cosh(c-a*d/b)/a+Shi(d*x)*sinh(c)/a-Shi(a*d/b+d*x)*sinh(c-a*d/b)/a],
[cosh(c+d*x)/(x^2*(a+b*x)),x,12,-b*Chi(d*x)*cosh(c)/a^2+b*Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^2-cosh(c+d*x)/(a*x)+d*cosh(c)*Shi(d*x)/a+d*Chi(d*x)*sinh(c)/a-b*Shi(d*x)*sinh(c)/a^2+b*Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^2],
[cosh(c+d*x)/(x^3*(a+b*x)),x,17,b^2*Chi(d*x)*cosh(c)/a^3+1/2*d^2*Chi(d*x)*cosh(c)/a-b^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^3-1/2*cosh(c+d*x)/(a*x^2)+b*cosh(c+d*x)/(a^2*x)-b*d*cosh(c)*Shi(d*x)/a^2-b*d*Chi(d*x)*sinh(c)/a^2+b^2*Shi(d*x)*sinh(c)/a^3+1/2*d^2*Shi(d*x)*sinh(c)/a-b^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^3-1/2*d*sinh(c+d*x)/(a*x)],
[x^4*cosh(c+d*x)/(a+b*x)^2,x,15,-4*a^3*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^5+2*a*cosh(c+d*x)/(b^3*d^2)-2*x*cosh(c+d*x)/(b^2*d^2)-a^4*cosh(c+d*x)/(b^5*(a+b*x))+a^4*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^6+a^4*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^6-4*a^3*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^5+2*sinh(c+d*x)/(b^2*d^3)+3*a^2*sinh(c+d*x)/(b^4*d)-2*a*x*sinh(c+d*x)/(b^3*d)+x^2*sinh(c+d*x)/(b^2*d)],
[x^3*cosh(c+d*x)/(a+b*x)^2,x,12,3*a^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^4-cosh(c+d*x)/(b^2*d^2)+a^3*cosh(c+d*x)/(b^4*(a+b*x))-a^3*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^5-a^3*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^5+3*a^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^4-2*a*sinh(c+d*x)/(b^3*d)+x*sinh(c+d*x)/(b^2*d)],
[x^2*cosh(c+d*x)/(a+b*x)^2,x,10,-2*a*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^3-a^2*cosh(c+d*x)/(b^3*(a+b*x))+a^2*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^4+a^2*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^4-2*a*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^3+sinh(c+d*x)/(b^2*d)],
[x*cosh(c+d*x)/(a+b*x)^2,x,9,Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^2+a*cosh(c+d*x)/(b^2*(a+b*x))-a*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^3-a*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^3+Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^2],
[cosh(c+d*x)/(a+b*x)^2,x,4,-cosh(c+d*x)/(b*(a+b*x))+d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^2+d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^2],
[cosh(c+d*x)/(x*(a+b*x)^2),x,12,Chi(d*x)*cosh(c)/a^2-Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^2+cosh(c+d*x)/(a*(a+b*x))-d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/(a*b)+Shi(d*x)*sinh(c)/a^2-d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/(a*b)-Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^2],
[cosh(c+d*x)/(x^2*(a+b*x)^2),x,16,-2*b*Chi(d*x)*cosh(c)/a^3+2*b*Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^3-cosh(c+d*x)/(a^2*x)-b*cosh(c+d*x)/(a^2*(a+b*x))+d*cosh(c)*Shi(d*x)/a^2+d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/a^2+d*Chi(d*x)*sinh(c)/a^2-2*b*Shi(d*x)*sinh(c)/a^3+d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/a^2+2*b*Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^3],
[x^3*cosh(c+d*x)/(a+b*x)^3,x,15,-3*a*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^4-1/2*a^3*d^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^6+1/2*a^3*cosh(c+d*x)/(b^4*(a+b*x)^2)-3*a^2*cosh(c+d*x)/(b^4*(a+b*x))+3*a^2*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^5+3*a^2*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^5-3*a*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^4-1/2*a^3*d^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^6+sinh(c+d*x)/(b^3*d)+1/2*a^3*d*sinh(c+d*x)/(b^5*(a+b*x))],
[x^2*cosh(c+d*x)/(a+b*x)^3,x,14,Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^3+1/2*a^2*d^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^5-1/2*a^2*cosh(c+d*x)/(b^3*(a+b*x)^2)+2*a*cosh(c+d*x)/(b^3*(a+b*x))-2*a*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^4-2*a*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^4+Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^3+1/2*a^2*d^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^5-1/2*a^2*d*sinh(c+d*x)/(b^4*(a+b*x))],
[x*cosh(c+d*x)/(a+b*x)^3,x,11,-1/2*a*d^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^4+1/2*a*cosh(c+d*x)/(b^2*(a+b*x)^2)-cosh(c+d*x)/(b^2*(a+b*x))+d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/b^3+d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/b^3-1/2*a*d^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^4+1/2*a*d*sinh(c+d*x)/(b^3*(a+b*x))],
[cosh(c+d*x)/(a+b*x)^3,x,5,1/2*d^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/b^3-1/2*cosh(c+d*x)/(b*(a+b*x)^2)+1/2*d^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/b^3-1/2*d*sinh(c+d*x)/(b^2*(a+b*x))],
[cosh(c+d*x)/(x*(a+b*x)^3),x,17,Chi(d*x)*cosh(c)/a^3-Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^3-1/2*d^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/(a*b^2)+1/2*cosh(c+d*x)/(a*(a+b*x)^2)+cosh(c+d*x)/(a^2*(a+b*x))-d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/(a^2*b)+Shi(d*x)*sinh(c)/a^3-d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/(a^2*b)-Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^3-1/2*d^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/(a*b^2)+1/2*d*sinh(c+d*x)/(a*b*(a+b*x))],
[cosh(c+d*x)/(x^2*(a+b*x)^3),x,21,-3*b*Chi(d*x)*cosh(c)/a^4+3*b*Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^4+1/2*d^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/(a^2*b)-cosh(c+d*x)/(a^3*x)-1/2*b*cosh(c+d*x)/(a^2*(a+b*x)^2)-2*b*cosh(c+d*x)/(a^3*(a+b*x))+d*cosh(c)*Shi(d*x)/a^3+2*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/a^3+d*Chi(d*x)*sinh(c)/a^3-3*b*Shi(d*x)*sinh(c)/a^4+2*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/a^3+3*b*Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^4+1/2*d^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/(a^2*b)-1/2*d*sinh(c+d*x)/(a^2*(a+b*x))],
[cosh(c+d*x)/(x^3*(a+b*x)^3),x,26,6*b^2*Chi(d*x)*cosh(c)/a^5+1/2*d^2*Chi(d*x)*cosh(c)/a^3-6*b^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^5-1/2*d^2*Chi(a*d/b+d*x)*cosh(c-a*d/b)/a^3-1/2*cosh(c+d*x)/(a^3*x^2)+3*b*cosh(c+d*x)/(a^4*x)+1/2*b^2*cosh(c+d*x)/(a^3*(a+b*x)^2)+3*b^2*cosh(c+d*x)/(a^4*(a+b*x))-3*b*d*cosh(c)*Shi(d*x)/a^4-3*b*d*cosh(c-a*d/b)*Shi(a*d/b+d*x)/a^4-3*b*d*Chi(d*x)*sinh(c)/a^4+6*b^2*Shi(d*x)*sinh(c)/a^5+1/2*d^2*Shi(d*x)*sinh(c)/a^3-3*b*d*Chi(a*d/b+d*x)*sinh(c-a*d/b)/a^4-6*b^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^5-1/2*d^2*Shi(a*d/b+d*x)*sinh(c-a*d/b)/a^3-1/2*d*sinh(c+d*x)/(a^3*x)+1/2*b*d*sinh(c+d*x)/(a^3*(a+b*x))],

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

# p>0
[x^3*(a+b*x^2)*cosh(c+d*x),x,12,-120*b*cosh(c+d*x)/d^6-6*a*cosh(c+d*x)/d^4-60*b*x^2*cosh(c+d*x)/d^4-3*a*x^2*cosh(c+d*x)/d^2-5*b*x^4*cosh(c+d*x)/d^2+120*b*x*sinh(c+d*x)/d^5+6*a*x*sinh(c+d*x)/d^3+20*b*x^3*sinh(c+d*x)/d^3+a*x^3*sinh(c+d*x)/d+b*x^5*sinh(c+d*x)/d],
[x^2*(a+b*x^2)*cosh(c+d*x),x,10,-24*b*x*cosh(c+d*x)/d^4-2*a*x*cosh(c+d*x)/d^2-4*b*x^3*cosh(c+d*x)/d^2+24*b*sinh(c+d*x)/d^5+2*a*sinh(c+d*x)/d^3+12*b*x^2*sinh(c+d*x)/d^3+a*x^2*sinh(c+d*x)/d+b*x^4*sinh(c+d*x)/d],
[x*(a+b*x^2)*cosh(c+d*x),x,8,-6*b*cosh(c+d*x)/d^4-a*cosh(c+d*x)/d^2-3*b*x^2*cosh(c+d*x)/d^2+6*b*x*sinh(c+d*x)/d^3+a*x*sinh(c+d*x)/d+b*x^3*sinh(c+d*x)/d],
[(a+b*x^2)*cosh(c+d*x),x,6,-2*b*x*cosh(c+d*x)/d^2+2*b*sinh(c+d*x)/d^3+a*sinh(c+d*x)/d+b*x^2*sinh(c+d*x)/d],
[(a+b*x^2)*cosh(c+d*x)/x,x,7,a*Chi(d*x)*cosh(c)-b*cosh(c+d*x)/d^2+a*Shi(d*x)*sinh(c)+b*x*sinh(c+d*x)/d],
[(a+b*x^2)*cosh(c+d*x)/x^2,x,7,-a*cosh(c+d*x)/x+a*d*cosh(c)*Shi(d*x)+a*d*Chi(d*x)*sinh(c)+b*sinh(c+d*x)/d],
[(a+b*x^2)*cosh(c+d*x)/x^3,x,10,b*Chi(d*x)*cosh(c)+1/2*a*d^2*Chi(d*x)*cosh(c)-1/2*a*cosh(c+d*x)/x^2+b*Shi(d*x)*sinh(c)+1/2*a*d^2*Shi(d*x)*sinh(c)-1/2*a*d*sinh(c+d*x)/x],
[(a+b*x^2)*cosh(c+d*x)/x^4,x,12,-1/3*a*cosh(c+d*x)/x^3-b*cosh(c+d*x)/x-1/6*a*d^2*cosh(c+d*x)/x+b*d*cosh(c)*Shi(d*x)+1/6*a*d^3*cosh(c)*Shi(d*x)+b*d*Chi(d*x)*sinh(c)+1/6*a*d^3*Chi(d*x)*sinh(c)-1/6*a*d*sinh(c+d*x)/x^2],
[(a+b*x^2)*cosh(c+d*x)/x^5,x,14,1/2*b*d^2*Chi(d*x)*cosh(c)+1/24*a*d^4*Chi(d*x)*cosh(c)-1/4*a*cosh(c+d*x)/x^4-1/2*b*cosh(c+d*x)/x^2-1/24*a*d^2*cosh(c+d*x)/x^2+1/2*b*d^2*Shi(d*x)*sinh(c)+1/24*a*d^4*Shi(d*x)*sinh(c)-1/12*a*d*sinh(c+d*x)/x^3-1/2*b*d*sinh(c+d*x)/x-1/24*a*d^3*sinh(c+d*x)/x],
[x^2*(a+b*x^2)^2*cosh(c+d*x),x,17,-720*b^2*x*cosh(c+d*x)/d^6-48*a*b*x*cosh(c+d*x)/d^4-2*a^2*x*cosh(c+d*x)/d^2-120*b^2*x^3*cosh(c+d*x)/d^4-8*a*b*x^3*cosh(c+d*x)/d^2-6*b^2*x^5*cosh(c+d*x)/d^2+720*b^2*sinh(c+d*x)/d^7+48*a*b*sinh(c+d*x)/d^5+2*a^2*sinh(c+d*x)/d^3+360*b^2*x^2*sinh(c+d*x)/d^5+24*a*b*x^2*sinh(c+d*x)/d^3+a^2*x^2*sinh(c+d*x)/d+30*b^2*x^4*sinh(c+d*x)/d^3+2*a*b*x^4*sinh(c+d*x)/d+b^2*x^6*sinh(c+d*x)/d],
[x*(a+b*x^2)^2*cosh(c+d*x),x,14,-120*b^2*cosh(c+d*x)/d^6-12*a*b*cosh(c+d*x)/d^4-a^2*cosh(c+d*x)/d^2-60*b^2*x^2*cosh(c+d*x)/d^4-6*a*b*x^2*cosh(c+d*x)/d^2-5*b^2*x^4*cosh(c+d*x)/d^2+120*b^2*x*sinh(c+d*x)/d^5+12*a*b*x*sinh(c+d*x)/d^3+a^2*x*sinh(c+d*x)/d+20*b^2*x^3*sinh(c+d*x)/d^3+2*a*b*x^3*sinh(c+d*x)/d+b^2*x^5*sinh(c+d*x)/d],
[(a+b*x^2)^2*cosh(c+d*x),x,11,-24*b^2*x*cosh(c+d*x)/d^4-4*a*b*x*cosh(c+d*x)/d^2-4*b^2*x^3*cosh(c+d*x)/d^2+24*b^2*sinh(c+d*x)/d^5+4*a*b*sinh(c+d*x)/d^3+a^2*sinh(c+d*x)/d+12*b^2*x^2*sinh(c+d*x)/d^3+2*a*b*x^2*sinh(c+d*x)/d+b^2*x^4*sinh(c+d*x)/d],
[(a+b*x^2)^2*cosh(c+d*x)/x,x,11,a^2*Chi(d*x)*cosh(c)-6*b^2*cosh(c+d*x)/d^4-2*a*b*cosh(c+d*x)/d^2-3*b^2*x^2*cosh(c+d*x)/d^2+a^2*Shi(d*x)*sinh(c)+6*b^2*x*sinh(c+d*x)/d^3+2*a*b*x*sinh(c+d*x)/d+b^2*x^3*sinh(c+d*x)/d],
[(a+b*x^2)^2*cosh(c+d*x)/x^2,x,10,-a^2*cosh(c+d*x)/x-2*b^2*x*cosh(c+d*x)/d^2+a^2*d*cosh(c)*Shi(d*x)+a^2*d*Chi(d*x)*sinh(c)+2*b^2*sinh(c+d*x)/d^3+2*a*b*sinh(c+d*x)/d+b^2*x^2*sinh(c+d*x)/d],
[(a+b*x^2)^2*cosh(c+d*x)/x^3,x,12,2*a*b*Chi(d*x)*cosh(c)+1/2*a^2*d^2*Chi(d*x)*cosh(c)-b^2*cosh(c+d*x)/d^2-1/2*a^2*cosh(c+d*x)/x^2+2*a*b*Shi(d*x)*sinh(c)+1/2*a^2*d^2*Shi(d*x)*sinh(c)-1/2*a^2*d*sinh(c+d*x)/x+b^2*x*sinh(c+d*x)/d],
[(a+b*x^2)^2*cosh(c+d*x)/x^4,x,13,-1/3*a^2*cosh(c+d*x)/x^3-2*a*b*cosh(c+d*x)/x-1/6*a^2*d^2*cosh(c+d*x)/x+2*a*b*d*cosh(c)*Shi(d*x)+1/6*a^2*d^3*cosh(c)*Shi(d*x)+2*a*b*d*Chi(d*x)*sinh(c)+1/6*a^2*d^3*Chi(d*x)*sinh(c)+b^2*sinh(c+d*x)/d-1/6*a^2*d*sinh(c+d*x)/x^2],
[(a+b*x^2)^2*cosh(c+d*x)/x^5,x,17,b^2*Chi(d*x)*cosh(c)+a*b*d^2*Chi(d*x)*cosh(c)+1/24*a^2*d^4*Chi(d*x)*cosh(c)-1/4*a^2*cosh(c+d*x)/x^4-a*b*cosh(c+d*x)/x^2-1/24*a^2*d^2*cosh(c+d*x)/x^2+b^2*Shi(d*x)*sinh(c)+a*b*d^2*Shi(d*x)*sinh(c)+1/24*a^2*d^4*Shi(d*x)*sinh(c)-1/12*a^2*d*sinh(c+d*x)/x^3-a*b*d*sinh(c+d*x)/x-1/24*a^2*d^3*sinh(c+d*x)/x],

# p<0
[x^4*cosh(c+d*x)/(a+b*x^2),x,14,-2*x*cosh(c+d*x)/(b*d^2)-1/2*(-a)^(3/2)*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/b^(5/2)+1/2*(-a)^(3/2)*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/b^(5/2)+2*sinh(c+d*x)/(b*d^3)-a*sinh(c+d*x)/(b^2*d)+x^2*sinh(c+d*x)/(b*d)-1/2*(-a)^(3/2)*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/b^(5/2)-1/2*(-a)^(3/2)*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/b^(5/2)],
[x^3*cosh(c+d*x)/(a+b*x^2),x,12,-cosh(c+d*x)/(b*d^2)-1/2*a*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/b^2-1/2*a*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/b^2+x*sinh(c+d*x)/(b*d)-1/2*a*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/b^2+1/2*a*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/b^2],
[x^2*cosh(c+d*x)/(a+b*x^2),x,11,sinh(c+d*x)/(b*d)-1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(3/2)+1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(3/2)-1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(3/2)-1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(3/2)],
[x*cosh(c+d*x)/(a+b*x^2),x,8,1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/b+1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/b+1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/b-1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/b],
[cosh(c+d*x)/(a+b*x^2),x,8,-1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/(sqrt(-a)*sqrt(b))+1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/(sqrt(-a)*sqrt(b))-1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(sqrt(-a)*sqrt(b))-1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(sqrt(-a)*sqrt(b))],
[cosh(c+d*x)/(x*(a+b*x^2)),x,13,Chi(d*x)*cosh(c)/a-1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/a-1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/a+Shi(d*x)*sinh(c)/a-1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a+1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a],
[cosh(c+d*x)/(x^2*(a+b*x^2)),x,14,-cosh(c+d*x)/(a*x)+d*cosh(c)*Shi(d*x)/a+d*Chi(d*x)*sinh(c)/a-1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(3/2)+1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(3/2)-1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(3/2)-1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(3/2)],
[cosh(c+d*x)/(x^3*(a+b*x^2)),x,18,-b*Chi(d*x)*cosh(c)/a^2+1/2*d^2*Chi(d*x)*cosh(c)/a-1/2*cosh(c+d*x)/(a*x^2)+1/2*b*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/a^2+1/2*b*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/a^2-b*Shi(d*x)*sinh(c)/a^2+1/2*d^2*Shi(d*x)*sinh(c)/a-1/2*d*sinh(c+d*x)/(a*x)+1/2*b*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a^2-1/2*b*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a^2],
[x^4*cosh(c+d*x)/(a+b*x^2)^2,x,24,1/2*x*cosh(c+d*x)/b^2-1/2*x^3*cosh(c+d*x)/(b*(a+b*x^2))+1/4*a*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/b^3-1/4*a*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/b^3+sinh(c+d*x)/(b^2*d)-1/4*a*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/b^3-1/4*a*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/b^3-3/4*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)+3/4*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)-3/4*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)-3/4*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)],
[x^3*cosh(c+d*x)/(a+b*x^2)^2,x,20,1/2*cosh(c+d*x)/b^2-1/2*x^2*cosh(c+d*x)/(b*(a+b*x^2))+1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/b^2+1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/b^2+1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/b^2-1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/b^2-1/4*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)-1/4*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)-1/4*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)+1/4*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))*sqrt(-a)/b^(5/2)],
[x^2*cosh(c+d*x)/(a+b*x^2)^2,x,17,-1/2*x*cosh(c+d*x)/(b*(a+b*x^2))-1/4*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/b^2+1/4*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/b^2+1/4*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/b^2+1/4*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/b^2-1/4*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))+1/4*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))-1/4*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))-1/4*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))],
[x*cosh(c+d*x)/(a+b*x^2)^2,x,9,-1/2*cosh(c+d*x)/(b*(a+b*x^2))-1/4*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))-1/4*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))-1/4*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))+1/4*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(b^(3/2)*sqrt(-a))],
[cosh(c+d*x)/(a+b*x^2)^2,x,18,1/4*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/(a*b)-1/4*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/(a*b)-1/4*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(a*b)-1/4*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(a*b)+1/4*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))-1/4*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))+1/4*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))+1/4*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))-1/4*cosh(c+d*x)/(a*sqrt(b)*(sqrt(-a)-x*sqrt(b)))+1/4*cosh(c+d*x)/(a*sqrt(b)*(sqrt(-a)+x*sqrt(b)))],
[cosh(c+d*x)/(x*(a+b*x^2)^2),x,22,Chi(d*x)*cosh(c)/a^2+1/2*cosh(c+d*x)/(a*(a+b*x^2))-1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/a^2-1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/a^2+Shi(d*x)*sinh(c)/a^2-1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a^2+1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a^2-1/4*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))-1/4*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))-1/4*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))+1/4*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*sqrt(b))],
[cosh(c+d*x)/(x^2*(a+b*x^2)^2),x,32,-cosh(c+d*x)/(a^2*x)+d*cosh(c)*Shi(d*x)/a^2-1/4*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/a^2+1/4*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/a^2+d*Chi(d*x)*sinh(c)/a^2+1/4*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a^2+1/4*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a^2+3/4*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(5/2)-3/4*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(5/2)+3/4*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(5/2)+3/4*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(5/2)+1/4*cosh(c+d*x)*sqrt(b)/(a^2*(sqrt(-a)-x*sqrt(b)))-1/4*cosh(c+d*x)*sqrt(b)/(a^2*(sqrt(-a)+x*sqrt(b)))],
[x^3*cosh(c+d*x)/(a+b*x^2)^3,x,27,-1/4*x^2*cosh(c+d*x)/(b*(a+b*x^2)^2)-1/4*cosh(c+d*x)/(b^2*(a+b*x^2))+1/16*d^2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/b^3+1/16*d^2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/b^3-1/8*d*x*sinh(c+d*x)/(b^2*(a+b*x^2))+1/16*d^2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/b^3-1/16*d^2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/b^3-3/16*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))-3/16*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))-3/16*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))+3/16*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))],
[x^2*cosh(c+d*x)/(a+b*x^2)^3,x,28,-1/4*x*cosh(c+d*x)/(b*(a+b*x^2)^2)+1/16*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))-1/16*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))+1/16*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/(a*b^2)-1/16*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/(a*b^2)-1/8*d*sinh(c+d*x)/(b^2*(a+b*x^2))-1/16*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(a*b^2)+1/16*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))-1/16*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(a*b^2)+1/16*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))-1/16*d^2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))+1/16*d^2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))-1/16*d^2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))-1/16*d^2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(b^(5/2)*sqrt(-a))-1/16*cosh(c+d*x)/(a*b^(3/2)*(sqrt(-a)-x*sqrt(b)))+1/16*cosh(c+d*x)/(a*b^(3/2)*(sqrt(-a)+x*sqrt(b)))],
[x*cosh(c+d*x)/(a+b*x^2)^3,x,19,-1/4*cosh(c+d*x)/(b*(a+b*x^2)^2)-1/16*d^2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/(a*b^2)-1/16*d^2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/(a*b^2)+1/16*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))+1/16*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))+1/16*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))-1/16*d^2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(a*b^2)-1/16*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))+1/16*d^2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(a*b^2)-1/16*d*sinh(c+d*x)/(a*b^(3/2)*(sqrt(-a)-x*sqrt(b)))+1/16*d*sinh(c+d*x)/(a*b^(3/2)*(sqrt(-a)+x*sqrt(b)))],
[cosh(c+d*x)/(a+b*x^2)^3,x,28,-1/16*d^2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))+1/16*d^2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))+3/16*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/(a^2*b)-3/16*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/(a^2*b)-3/16*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(a^2*b)-1/16*d^2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))-3/16*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(a^2*b)-1/16*d^2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(3/2)*b^(3/2))-3/16*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))+3/16*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))-3/16*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))-3/16*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))-1/16*cosh(c+d*x)/((-a)^(3/2)*sqrt(b)*(sqrt(-a)-x*sqrt(b))^2)+1/16*d*sinh(c+d*x)/((-a)^(3/2)*b*(sqrt(-a)-x*sqrt(b)))-3/16*cosh(c+d*x)/(a^2*sqrt(b)*(sqrt(-a)-x*sqrt(b)))+1/16*cosh(c+d*x)/((-a)^(3/2)*sqrt(b)*(sqrt(-a)+x*sqrt(b))^2)+1/16*d*sinh(c+d*x)/((-a)^(3/2)*b*(sqrt(-a)+x*sqrt(b)))+3/16*cosh(c+d*x)/(a^2*sqrt(b)*(sqrt(-a)+x*sqrt(b)))],
[cosh(c+d*x)/(x*(a+b*x^2)^3),x,41,Chi(d*x)*cosh(c)/a^3+1/4*cosh(c+d*x)/(a*(a+b*x^2)^2)+1/2*cosh(c+d*x)/(a^2*(a+b*x^2))-1/2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/a^3+1/16*d^2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/(a^2*b)-1/2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/a^3+1/16*d^2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/(a^2*b)+Shi(d*x)*sinh(c)/a^3-1/2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a^3+1/16*d^2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/(a^2*b)+1/2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a^3-1/16*d^2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/(a^2*b)+5/16*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))+5/16*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))+5/16*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))-5/16*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))+1/16*d*sinh(c+d*x)/(a^2*sqrt(b)*(sqrt(-a)-x*sqrt(b)))-1/16*d*sinh(c+d*x)/(a^2*sqrt(b)*(sqrt(-a)+x*sqrt(b)))],
[cosh(c+d*x)/(x^2*(a+b*x^2)^3),x,60,-cosh(c+d*x)/(a^3*x)+d*cosh(c)*Shi(d*x)/a^3-7/16*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))/a^3+7/16*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))/a^3+d*Chi(d*x)*sinh(c)/a^3+7/16*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a^3+7/16*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a^3-1/16*d^2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))+1/16*d^2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))-1/16*d^2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))-1/16*d^2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/((-a)^(5/2)*sqrt(b))-15/16*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)+15/16*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)-15/16*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)-15/16*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)-1/16*cosh(c+d*x)*sqrt(b)/((-a)^(5/2)*(sqrt(-a)-x*sqrt(b))^2)+1/16*d*sinh(c+d*x)/((-a)^(5/2)*(sqrt(-a)-x*sqrt(b)))+7/16*cosh(c+d*x)*sqrt(b)/(a^3*(sqrt(-a)-x*sqrt(b)))+1/16*cosh(c+d*x)*sqrt(b)/((-a)^(5/2)*(sqrt(-a)+x*sqrt(b))^2)+1/16*d*sinh(c+d*x)/((-a)^(5/2)*(sqrt(-a)+x*sqrt(b)))-7/16*cosh(c+d*x)*sqrt(b)/(a^3*(sqrt(-a)+x*sqrt(b)))],
[cosh(c+d*x)/(x^3*(a+b*x^2)^3),x,46,-3*b*Chi(d*x)*cosh(c)/a^4+1/2*d^2*Chi(d*x)*cosh(c)/a^3-1/2*cosh(c+d*x)/(a^3*x^2)-1/4*b*cosh(c+d*x)/(a^2*(a+b*x^2)^2)-b*cosh(c+d*x)/(a^3*(a+b*x^2))+3/2*b*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/a^4-1/16*d^2*Chi(d*x+d*sqrt(-a)/sqrt(b))*cosh(c-d*sqrt(-a)/sqrt(b))/a^3+3/2*b*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/a^4-1/16*d^2*Chi(-d*x+d*sqrt(-a)/sqrt(b))*cosh(c+d*sqrt(-a)/sqrt(b))/a^3-3*b*Shi(d*x)*sinh(c)/a^4+1/2*d^2*Shi(d*x)*sinh(c)/a^3-1/2*d*sinh(c+d*x)/(a^3*x)+3/2*b*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a^4-1/16*d^2*Shi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))/a^3-3/2*b*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a^4+1/16*d^2*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))/a^3+9/16*d*cosh(c+d*sqrt(-a)/sqrt(b))*Shi(-d*x+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)+9/16*d*cosh(c-d*sqrt(-a)/sqrt(b))*Shi(d*x+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)+9/16*d*Chi(d*x+d*sqrt(-a)/sqrt(b))*sinh(c-d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)-9/16*d*Chi(-d*x+d*sqrt(-a)/sqrt(b))*sinh(c+d*sqrt(-a)/sqrt(b))*sqrt(b)/(-a)^(7/2)-1/16*d*sinh(c+d*x)*sqrt(b)/(a^3*(sqrt(-a)-x*sqrt(b)))+1/16*d*sinh(c+d*x)*sqrt(b)/(a^3*(sqrt(-a)+x*sqrt(b)))],

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

# p>0
[x^3*(a+b*x^3)*cosh(c+d*x),x,13,-6*a*cosh(c+d*x)/d^4-720*b*x*cosh(c+d*x)/d^6-3*a*x^2*cosh(c+d*x)/d^2-120*b*x^3*cosh(c+d*x)/d^4-6*b*x^5*cosh(c+d*x)/d^2+720*b*sinh(c+d*x)/d^7+6*a*x*sinh(c+d*x)/d^3+360*b*x^2*sinh(c+d*x)/d^5+a*x^3*sinh(c+d*x)/d+30*b*x^4*sinh(c+d*x)/d^3+b*x^6*sinh(c+d*x)/d],
[x^2*(a+b*x^3)*cosh(c+d*x),x,11,-120*b*cosh(c+d*x)/d^6-2*a*x*cosh(c+d*x)/d^2-60*b*x^2*cosh(c+d*x)/d^4-5*b*x^4*cosh(c+d*x)/d^2+2*a*sinh(c+d*x)/d^3+120*b*x*sinh(c+d*x)/d^5+a*x^2*sinh(c+d*x)/d+20*b*x^3*sinh(c+d*x)/d^3+b*x^5*sinh(c+d*x)/d],
[x*(a+b*x^3)*cosh(c+d*x),x,9,-a*cosh(c+d*x)/d^2-24*b*x*cosh(c+d*x)/d^4-4*b*x^3*cosh(c+d*x)/d^2+24*b*sinh(c+d*x)/d^5+a*x*sinh(c+d*x)/d+12*b*x^2*sinh(c+d*x)/d^3+b*x^4*sinh(c+d*x)/d],
[(a+b*x^3)*cosh(c+d*x),x,7,-6*b*cosh(c+d*x)/d^4-3*b*x^2*cosh(c+d*x)/d^2+a*sinh(c+d*x)/d+6*b*x*sinh(c+d*x)/d^3+b*x^3*sinh(c+d*x)/d],
[(a+b*x^3)*cosh(c+d*x)/x,x,8,a*Chi(d*x)*cosh(c)-2*b*x*cosh(c+d*x)/d^2+a*Shi(d*x)*sinh(c)+2*b*sinh(c+d*x)/d^3+b*x^2*sinh(c+d*x)/d],
[(a+b*x^3)*cosh(c+d*x)/x^2,x,8,-b*cosh(c+d*x)/d^2-a*cosh(c+d*x)/x+a*d*cosh(c)*Shi(d*x)+a*d*Chi(d*x)*sinh(c)+b*x*sinh(c+d*x)/d],
[(a+b*x^3)*cosh(c+d*x)/x^3,x,8,1/2*a*d^2*Chi(d*x)*cosh(c)-1/2*a*cosh(c+d*x)/x^2+1/2*a*d^2*Shi(d*x)*sinh(c)+b*sinh(c+d*x)/d-1/2*a*d*sinh(c+d*x)/x],
[(a+b*x^3)*cosh(c+d*x)/x^4,x,11,b*Chi(d*x)*cosh(c)-1/3*a*cosh(c+d*x)/x^3-1/6*a*d^2*cosh(c+d*x)/x+1/6*a*d^3*cosh(c)*Shi(d*x)+1/6*a*d^3*Chi(d*x)*sinh(c)+b*Shi(d*x)*sinh(c)-1/6*a*d*sinh(c+d*x)/x^2],
[x*(a+b*x^3)^2*cosh(c+d*x),x,17,-5040*b^2*cosh(c+d*x)/d^8-a^2*cosh(c+d*x)/d^2-48*a*b*x*cosh(c+d*x)/d^4-2520*b^2*x^2*cosh(c+d*x)/d^6-8*a*b*x^3*cosh(c+d*x)/d^2-210*b^2*x^4*cosh(c+d*x)/d^4-7*b^2*x^6*cosh(c+d*x)/d^2+48*a*b*sinh(c+d*x)/d^5+5040*b^2*x*sinh(c+d*x)/d^7+a^2*x*sinh(c+d*x)/d+24*a*b*x^2*sinh(c+d*x)/d^3+840*b^2*x^3*sinh(c+d*x)/d^5+2*a*b*x^4*sinh(c+d*x)/d+42*b^2*x^5*sinh(c+d*x)/d^3+b^2*x^7*sinh(c+d*x)/d],
[(a+b*x^3)^2*cosh(c+d*x),x,14,-12*a*b*cosh(c+d*x)/d^4-720*b^2*x*cosh(c+d*x)/d^6-6*a*b*x^2*cosh(c+d*x)/d^2-120*b^2*x^3*cosh(c+d*x)/d^4-6*b^2*x^5*cosh(c+d*x)/d^2+720*b^2*sinh(c+d*x)/d^7+a^2*sinh(c+d*x)/d+12*a*b*x*sinh(c+d*x)/d^3+360*b^2*x^2*sinh(c+d*x)/d^5+2*a*b*x^3*sinh(c+d*x)/d+30*b^2*x^4*sinh(c+d*x)/d^3+b^2*x^6*sinh(c+d*x)/d],
[(a+b*x^3)^2*cosh(c+d*x)/x,x,14,a^2*Chi(d*x)*cosh(c)-120*b^2*cosh(c+d*x)/d^6-4*a*b*x*cosh(c+d*x)/d^2-60*b^2*x^2*cosh(c+d*x)/d^4-5*b^2*x^4*cosh(c+d*x)/d^2+a^2*Shi(d*x)*sinh(c)+4*a*b*sinh(c+d*x)/d^3+120*b^2*x*sinh(c+d*x)/d^5+2*a*b*x^2*sinh(c+d*x)/d+20*b^2*x^3*sinh(c+d*x)/d^3+b^2*x^5*sinh(c+d*x)/d],
[(a+b*x^3)^2*cosh(c+d*x)/x^2,x,13,-2*a*b*cosh(c+d*x)/d^2-a^2*cosh(c+d*x)/x-24*b^2*x*cosh(c+d*x)/d^4-4*b^2*x^3*cosh(c+d*x)/d^2+a^2*d*cosh(c)*Shi(d*x)+a^2*d*Chi(d*x)*sinh(c)+24*b^2*sinh(c+d*x)/d^5+2*a*b*x*sinh(c+d*x)/d+12*b^2*x^2*sinh(c+d*x)/d^3+b^2*x^4*sinh(c+d*x)/d],
[(a+b*x^3)^2*cosh(c+d*x)/x^3,x,12,1/2*a^2*d^2*Chi(d*x)*cosh(c)-6*b^2*cosh(c+d*x)/d^4-1/2*a^2*cosh(c+d*x)/x^2-3*b^2*x^2*cosh(c+d*x)/d^2+1/2*a^2*d^2*Shi(d*x)*sinh(c)+2*a*b*sinh(c+d*x)/d-1/2*a^2*d*sinh(c+d*x)/x+6*b^2*x*sinh(c+d*x)/d^3+b^2*x^3*sinh(c+d*x)/d],
[(a+b*x^3)^2*cosh(c+d*x)/x^4,x,14,2*a*b*Chi(d*x)*cosh(c)-1/3*a^2*cosh(c+d*x)/x^3-1/6*a^2*d^2*cosh(c+d*x)/x-2*b^2*x*cosh(c+d*x)/d^2+1/6*a^2*d^3*cosh(c)*Shi(d*x)+1/6*a^2*d^3*Chi(d*x)*sinh(c)+2*a*b*Shi(d*x)*sinh(c)+2*b^2*sinh(c+d*x)/d^3-1/6*a^2*d*sinh(c+d*x)/x^2+b^2*x^2*sinh(c+d*x)/d],
[(a+b*x^3)^2*cosh(c+d*x)/x^5,x,15,1/24*a^2*d^4*Chi(d*x)*cosh(c)-b^2*cosh(c+d*x)/d^2-1/4*a^2*cosh(c+d*x)/x^4-1/24*a^2*d^2*cosh(c+d*x)/x^2-2*a*b*cosh(c+d*x)/x+2*a*b*d*cosh(c)*Shi(d*x)+2*a*b*d*Chi(d*x)*sinh(c)+1/24*a^2*d^4*Shi(d*x)*sinh(c)-1/12*a^2*d*sinh(c+d*x)/x^3-1/24*a^2*d^3*sinh(c+d*x)/x+b^2*x*sinh(c+d*x)/d],

# p<0
[x^4*cosh(c+d*x)/(a+b*x^3),x,15,1/3*a^(2/3)*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/b^(5/3)+1/3*(-1)^(2/3)*a^(2/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b^(5/3)-1/3*(-1)^(1/3)*a^(2/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b^(5/3)-cosh(c+d*x)/(b*d^2)+1/3*a^(2/3)*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/b^(5/3)-1/3*(-1)^(2/3)*a^(2/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b^(5/3)-1/3*(-1)^(1/3)*a^(2/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b^(5/3)+x*sinh(c+d*x)/(b*d)],
[x^3*cosh(c+d*x)/(a+b*x^3),x,14,-1/3*a^(1/3)*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/b^(4/3)+1/3*(-1)^(1/3)*a^(1/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b^(4/3)-1/3*(-1)^(2/3)*a^(1/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b^(4/3)-1/3*a^(1/3)*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/b^(4/3)-1/3*(-1)^(1/3)*a^(1/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b^(4/3)-1/3*(-1)^(2/3)*a^(1/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b^(4/3)+sinh(c+d*x)/(b*d)],
[x^2*cosh(c+d*x)/(a+b*x^3),x,11,1/3*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/b+1/3*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b+1/3*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b+1/3*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/b-1/3*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b+1/3*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b],
[x*cosh(c+d*x)/(a+b*x^3),x,11,-1/3*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))-1/3*(-1)^(2/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))+1/3*(-1)^(1/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))-1/3*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))+1/3*(-1)^(2/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))+1/3*(-1)^(1/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))],
[cosh(c+d*x)/(a+b*x^3),x,11,1/3*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))-1/3*(-1)^(1/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))+1/3*(-1)^(2/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))+1/3*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))+1/3*(-1)^(1/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))+1/3*(-1)^(2/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))],
[cosh(c+d*x)/(x*(a+b*x^3)),x,16,Chi(d*x)*cosh(c)/a-1/3*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/a-1/3*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a-1/3*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a+Shi(d*x)*sinh(c)/a-1/3*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/a+1/3*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a-1/3*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a],
[cosh(c+d*x)/(x^2*(a+b*x^3)),x,17,1/3*b^(1/3)*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/a^(4/3)+1/3*(-1)^(2/3)*b^(1/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(4/3)-1/3*(-1)^(1/3)*b^(1/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(4/3)-cosh(c+d*x)/(a*x)+d*cosh(c)*Shi(d*x)/a+d*Chi(d*x)*sinh(c)/a+1/3*b^(1/3)*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/a^(4/3)-1/3*(-1)^(2/3)*b^(1/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(4/3)-1/3*(-1)^(1/3)*b^(1/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(4/3)],
[cosh(c+d*x)/(x^3*(a+b*x^3)),x,18,1/2*d^2*Chi(d*x)*cosh(c)/a-1/3*b^(2/3)*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/a^(5/3)+1/3*(-1)^(1/3)*b^(2/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(5/3)-1/3*(-1)^(2/3)*b^(2/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(5/3)-1/2*cosh(c+d*x)/(a*x^2)+1/2*d^2*Shi(d*x)*sinh(c)/a-1/3*b^(2/3)*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/a^(5/3)-1/3*(-1)^(1/3)*b^(2/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(5/3)-1/3*(-1)^(2/3)*b^(2/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(5/3)-1/2*d*sinh(c+d*x)/(a*x)],
[x^3*cosh(c+d*x)/(a+b*x^3)^2,x,23,1/9*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(1/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))+1/9*(-1)^(2/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/3*x*cosh(c+d*x)/(b*(a+b*x^3))+1/9*(-1)^(2/3)*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(1/3)*b^(5/3))-1/9*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a^(1/3)*b^(5/3))+1/9*(-1)^(1/3)*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(1/3)*b^(5/3))-1/9*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))+1/9*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(2/3)*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))+1/9*(-1)^(1/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))+1/9*(-1)^(1/3)*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))+1/9*(-1)^(2/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))],
[x^2*cosh(c+d*x)/(a+b*x^3)^2,x,12,-1/3*cosh(c+d*x)/(b*(a+b*x^3))+1/9*(-1)^(1/3)*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(2/3)*b^(4/3))+1/9*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(4/3))+1/9*(-1)^(2/3)*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(4/3))+1/9*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(1/3)*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))+1/9*(-1)^(2/3)*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))],
[x*cosh(c+d*x)/(a+b*x^3)^2,x,34,-1/9*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))-1/9*(-1)^(2/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+1/9*(-1)^(1/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+1/3*cosh(c+d*x)/(a*b*x)-1/3*cosh(c+d*x)/(b*x*(a+b*x^3))+1/9*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a*b)-1/9*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a*b)-1/9*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a*b)-1/9*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a*b)-1/9*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))-1/9*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a*b)+1/9*(-1)^(2/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))-1/9*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a*b)+1/9*(-1)^(1/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))],
[cosh(c+d*x)/(a+b*x^3)^2,x,36,2/9*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-2/9*(-1)^(1/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+2/9*(-1)^(2/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+1/3*cosh(c+d*x)/(a*b*x^2)-1/3*cosh(c+d*x)/(b*x^2*(a+b*x^3))-1/9*(-1)^(2/3)*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(4/3)*b^(2/3))+1/9*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a^(4/3)*b^(2/3))-1/9*(-1)^(1/3)*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(4/3)*b^(2/3))+1/9*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+2/9*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+1/9*(-1)^(2/3)*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+2/9*(-1)^(1/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-1/9*(-1)^(1/3)*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+2/9*(-1)^(2/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))],
[cosh(c+d*x)/(x*(a+b*x^3)^2),x,41,Chi(d*x)*cosh(c)/a^2-1/3*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/a^2-1/3*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^2-1/3*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^2+1/3*cosh(c+d*x)/(a*b*x^3)-1/3*cosh(c+d*x)/(b*x^3*(a+b*x^3))-1/9*(-1)^(1/3)*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(5/3)*b^(1/3))-1/9*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(1/3))-1/9*(-1)^(2/3)*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(1/3))+Shi(d*x)*sinh(c)/a^2-1/9*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-1/3*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/a^2+1/9*(-1)^(1/3)*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+1/3*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^2-1/9*(-1)^(2/3)*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-1/3*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^2],
[x^5*cosh(c+d*x)/(a+b*x^3)^3,x,36,-1/54*d^2*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(8/3))-1/54*(-1)^(2/3)*d^2*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(8/3))+1/54*(-1)^(1/3)*d^2*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(8/3))-1/6*x^3*cosh(c+d*x)/(b*(a+b*x^3)^2)-1/6*cosh(c+d*x)/(b^2*(a+b*x^3))+2/27*(-1)^(1/3)*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(2/3)*b^(7/3))+2/27*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(7/3))+2/27*(-1)^(2/3)*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(7/3))+2/27*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))-1/54*d^2*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(8/3))-2/27*(-1)^(1/3)*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))+1/54*(-1)^(2/3)*d^2*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(8/3))+2/27*(-1)^(2/3)*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))+1/54*(-1)^(1/3)*d^2*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(8/3))-1/18*d*x*sinh(c+d*x)/(b^2*(a+b*x^3))],
[x^4*cosh(c+d*x)/(a+b*x^3)^3,x,47,-1/27*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/54*d^2*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))-1/27*(-1)^(2/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))-1/54*(-1)^(1/3)*d^2*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))+1/27*(-1)^(1/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/54*(-1)^(2/3)*d^2*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))+1/9*cosh(c+d*x)/(a*b^2*x)-1/6*x^2*cosh(c+d*x)/(b*(a+b*x^3)^2)-1/9*cosh(c+d*x)/(b^2*x*(a+b*x^3))+1/27*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a*b^2)-1/27*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a*b^2)-1/27*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a*b^2)-1/27*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a*b^2)-1/27*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/54*d^2*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))-1/27*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/27*(-1)^(2/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/54*(-1)^(1/3)*d^2*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))-1/27*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/27*(-1)^(1/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/54*(-1)^(2/3)*d^2*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(7/3))-1/18*d*sinh(c+d*x)/(b^2*(a+b*x^3))],
[x^3*cosh(c+d*x)/(a+b*x^3)^3,x,71,1/27*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*d^2*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a*b^2)-1/27*(-1)^(1/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*d^2*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/27*(-1)^(2/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*d^2*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/18*cosh(c+d*x)/(a*b^2*x^2)-1/6*x*cosh(c+d*x)/(b*(a+b*x^3)^2)-1/18*cosh(c+d*x)/(b^2*x^2*(a+b*x^3))+1/27*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*d^2*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a*b^2)+1/27*(-1)^(1/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/54*d^2*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/27*(-1)^(2/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*d^2*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/18*d*sinh(c+d*x)/(a*b^2*x)-1/18*d*sinh(c+d*x)/(b^2*x*(a+b*x^3))],
[x^2*cosh(c+d*x)/(a+b*x^3)^3,x,37,1/54*d^2*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/54*(-1)^(2/3)*d^2*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))-1/54*(-1)^(1/3)*d^2*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))-1/6*cosh(c+d*x)/(b*(a+b*x^3)^2)+1/27*(-1)^(1/3)*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(5/3)*b^(4/3))+1/27*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(4/3))+1/27*(-1)^(2/3)*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(4/3))+1/27*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/54*d^2*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))-1/27*(-1)^(1/3)*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*(-1)^(2/3)*d^2*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/27*(-1)^(2/3)*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*(-1)^(1/3)*d^2*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))+1/18*d*sinh(c+d*x)/(a*b^2*x^2)-1/18*d*sinh(c+d*x)/(b^2*x^2*(a+b*x^3))],
[x*cosh(c+d*x)/(a+b*x^3)^3,x,89,-2/27*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/54*d^2*Chi(a^(1/3)*d/b^(1/3)+d*x)*cosh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-2/27*(-1)^(2/3)*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+1/54*(-1)^(1/3)*d^2*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+2/27*(-1)^(1/3)*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/54*(-1)^(2/3)*d^2*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/18*cosh(c+d*x)/(a*b^2*x^4)+2/9*cosh(c+d*x)/(a^2*b*x)-1/6*cosh(c+d*x)/(b*x*(a+b*x^3)^2)+1/18*cosh(c+d*x)/(b^2*x^4*(a+b*x^3))+2/27*d*cosh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^2*b)-2/27*d*cosh(c-a^(1/3)*d/b^(1/3))*Shi(a^(1/3)*d/b^(1/3)+d*x)/(a^2*b)-2/27*d*cosh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^2*b)-2/27*d*Chi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^2*b)-2/27*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/54*d^2*Shi(a^(1/3)*d/b^(1/3)+d*x)*sinh(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-2/27*d*Chi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^2*b)+2/27*(-1)^(2/3)*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/54*(-1)^(1/3)*d^2*Shi((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-2/27*d*Chi(-(-1)^(2/3)*a^(1/3)*d/b^(1/3)-d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^2*b)+2/27*(-1)^(1/3)*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/54*(-1)^(2/3)*d^2*Shi((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sinh(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/18*d*sinh(c+d*x)/(a*b^2*x^3)-1/18*d*sinh(c+d*x)/(b^2*x^3*(a+b*x^3))]]:
