# Maple integration test file: "4 Trig functions\4.1 Sine\4.1.11 (e x)^m (a+b x^n)^p sin.txt"

lst:=[

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

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

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

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

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

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

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

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

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

# p<0
[x^4*sin(c+d*x)/(a+b*x^3),x,15,-x*cos(c+d*x)/(b*d)-1/3*(-1)^(2/3)*a^(2/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/b^(5/3)+1/3*a^(2/3)*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/b^(5/3)-1/3*(-1)^(1/3)*a^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/b^(5/3)+1/3*a^(2/3)*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/b^(5/3)+1/3*(-1)^(2/3)*a^(2/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b^(5/3)-1/3*(-1)^(1/3)*a^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b^(5/3)+sin(c+d*x)/(b*d^2)],
[x^3*sin(c+d*x)/(a+b*x^3),x,14,-cos(c+d*x)/(b*d)-1/3*(-1)^(1/3)*a^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/b^(4/3)-1/3*a^(1/3)*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/b^(4/3)-1/3*(-1)^(2/3)*a^(1/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/b^(4/3)-1/3*a^(1/3)*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/b^(4/3)+1/3*(-1)^(1/3)*a^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b^(4/3)-1/3*(-1)^(2/3)*a^(1/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b^(4/3)],
[x^2*sin(c+d*x)/(a+b*x^3),x,11,-1/3*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/b+1/3*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/b+1/3*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/b+1/3*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/b+1/3*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/b+1/3*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/b],
[x*sin(c+d*x)/(a+b*x^3),x,11,1/3*(-1)^(2/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(1/3)*b^(2/3))-1/3*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(1/3)*b^(2/3))+1/3*(-1)^(1/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(1/3)*b^(2/3))-1/3*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))-1/3*(-1)^(2/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))+1/3*(-1)^(1/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(2/3))],
[sin(c+d*x)/(a+b*x^3),x,11,1/3*(-1)^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(2/3)*b^(1/3))+1/3*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(1/3))+1/3*(-1)^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(1/3))+1/3*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))-1/3*(-1)^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))+1/3*(-1)^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(1/3))],
[sin(c+d*x)/(x*(a+b*x^3)),x,16,cos(c)*Si(d*x)/a+1/3*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/a-1/3*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/a-1/3*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/a+Ci(d*x)*sin(c)/a-1/3*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a-1/3*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a-1/3*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a],
[sin(c+d*x)/(x^2*(a+b*x^3)),x,17,d*Ci(d*x)*cos(c)/a-1/3*(-1)^(2/3)*b^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/a^(4/3)+1/3*b^(1/3)*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/a^(4/3)-1/3*(-1)^(1/3)*b^(1/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/a^(4/3)-d*Si(d*x)*sin(c)/a+1/3*b^(1/3)*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^(4/3)+1/3*(-1)^(2/3)*b^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(4/3)-1/3*(-1)^(1/3)*b^(1/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(4/3)-sin(c+d*x)/(a*x)],
[sin(c+d*x)/(x^3*(a+b*x^3)),x,18,-1/2*d*cos(c+d*x)/(a*x)-1/2*d^2*cos(c)*Si(d*x)/a-1/3*(-1)^(1/3)*b^(2/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/a^(5/3)-1/3*b^(2/3)*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/a^(5/3)-1/3*(-1)^(2/3)*b^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/a^(5/3)-1/2*d^2*Ci(d*x)*sin(c)/a-1/3*b^(2/3)*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^(5/3)+1/3*(-1)^(1/3)*b^(2/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(5/3)-1/3*(-1)^(2/3)*b^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(5/3)-1/2*sin(c+d*x)/(a*x^2)],
[x^3*sin(c+d*x)/(a+b*x^3)^2,x,23,-1/9*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))-1/9*(-1)^(2/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))+1/9*(-1)^(1/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))+1/9*(-1)^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(2/3)*b^(4/3))+1/9*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(4/3))+1/9*(-1)^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(2/3)*b^(4/3))+1/9*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))+1/9*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))-1/9*(-1)^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(2/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))+1/9*(-1)^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(1/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(1/3)*b^(5/3))-1/3*x*sin(c+d*x)/(b*(a+b*x^3))],
[x^2*sin(c+d*x)/(a+b*x^3)^2,x,12,1/9*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(1/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))+1/9*(-1)^(2/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(1/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/9*(-1)^(2/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(2/3)*b^(4/3))-1/3*sin(c+d*x)/(b*(a+b*x^3))],
[x*sin(c+d*x)/(a+b*x^3)^2,x,34,-1/9*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a*b)-1/9*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a*b)-1/9*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a*b)+1/9*(-1)^(2/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(4/3)*b^(2/3))-1/9*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(4/3)*b^(2/3))+1/9*(-1)^(1/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(4/3)*b^(2/3))-1/9*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+1/9*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a*b)-1/9*(-1)^(2/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))-1/9*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a*b)+1/9*(-1)^(1/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+1/9*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a*b)+1/3*sin(c+d*x)/(a*b*x)-1/3*sin(c+d*x)/(b*x*(a+b*x^3))],
[sin(c+d*x)/(a+b*x^3)^2,x,36,1/9*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+1/9*(-1)^(2/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))-1/9*(-1)^(1/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+2/9*(-1)^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(5/3)*b^(1/3))+2/9*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(1/3))+2/9*(-1)^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(1/3))+2/9*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-1/9*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))-2/9*(-1)^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+1/9*(-1)^(2/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+2/9*(-1)^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+1/9*(-1)^(1/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(2/3))+1/3*sin(c+d*x)/(a*b*x^2)-1/3*sin(c+d*x)/(b*x^2*(a+b*x^3))],
[sin(c+d*x)/(x*(a+b*x^3)^2),x,41,-1/9*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+1/9*(-1)^(1/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-1/9*(-1)^(2/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+cos(c)*Si(d*x)/a^2+1/3*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/a^2-1/3*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/a^2-1/3*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/a^2+Ci(d*x)*sin(c)/a^2-1/3*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^2+1/9*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-1/3*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^2+1/9*(-1)^(1/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))-1/3*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^2+1/9*(-1)^(2/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(1/3))+1/3*sin(c+d*x)/(a*b*x^3)-1/3*sin(c+d*x)/(b*x^3*(a+b*x^3))],
[sin(c+d*x)/(x^2*(a+b*x^3)^2),x,47,d*Ci(d*x)*cos(c)/a^2+1/9*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/a^2+1/9*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^2+1/9*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^2-4/9*(-1)^(2/3)*b^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/a^(7/3)+4/9*b^(1/3)*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/a^(7/3)-4/9*(-1)^(1/3)*b^(1/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/a^(7/3)-d*Si(d*x)*sin(c)/a^2+4/9*b^(1/3)*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^(7/3)-1/9*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^2+4/9*(-1)^(2/3)*b^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(7/3)+1/9*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^2-4/9*(-1)^(1/3)*b^(1/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(7/3)-1/9*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^2+1/3*sin(c+d*x)/(a*b*x^4)-4/3*sin(c+d*x)/(a^2*x)-1/3*sin(c+d*x)/(b*x^4*(a+b*x^3))],
[sin(c+d*x)/(x^3*(a+b*x^3)^2),x,51,-1/9*b^(1/3)*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/a^(7/3)-1/9*(-1)^(2/3)*b^(1/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(7/3)+1/9*(-1)^(1/3)*b^(1/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(7/3)-1/2*d*cos(c+d*x)/(a^2*x)-1/2*d^2*cos(c)*Si(d*x)/a^2-5/9*(-1)^(1/3)*b^(2/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/a^(8/3)-5/9*b^(2/3)*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/a^(8/3)-5/9*(-1)^(2/3)*b^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/a^(8/3)-1/2*d^2*Ci(d*x)*sin(c)/a^2-5/9*b^(2/3)*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^(8/3)+1/9*b^(1/3)*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^(7/3)+5/9*(-1)^(1/3)*b^(2/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(8/3)-1/9*(-1)^(2/3)*b^(1/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^(7/3)-5/9*(-1)^(2/3)*b^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(8/3)-1/9*(-1)^(1/3)*b^(1/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^(7/3)+1/3*sin(c+d*x)/(a*b*x^5)-5/6*sin(c+d*x)/(a^2*x^2)-1/3*sin(c+d*x)/(b*x^5*(a+b*x^3))],
[x^3*sin(c+d*x)/(a+b*x^3)^3,x,71,1/18*d*cos(c+d*x)/(a*b^2*x)-1/18*d*cos(c+d*x)/(b^2*x*(a+b*x^3))+1/27*(-1)^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(5/3)*b^(4/3))-1/54*d^2*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a*b^2)+1/27*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(4/3))+1/54*d^2*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a*b^2)+1/27*(-1)^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(4/3))+1/54*d^2*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a*b^2)+1/27*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/54*d^2*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a*b^2)-1/27*(-1)^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/54*d^2*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/27*(-1)^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/54*d^2*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a*b^2)+1/18*sin(c+d*x)/(a*b^2*x^2)-1/6*x*sin(c+d*x)/(b*(a+b*x^3)^2)-1/18*sin(c+d*x)/(b^2*x^2*(a+b*x^3))],
[x^2*sin(c+d*x)/(a+b*x^3)^3,x,37,1/27*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/27*(-1)^(1/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/27*(-1)^(2/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/18*d*cos(c+d*x)/(a*b^2*x^2)-1/18*d*cos(c+d*x)/(b^2*x^2*(a+b*x^3))+1/54*(-1)^(2/3)*d^2*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(4/3)*b^(5/3))-1/54*d^2*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(4/3)*b^(5/3))+1/54*(-1)^(1/3)*d^2*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(4/3)*b^(5/3))-1/54*d^2*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))-1/27*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/54*(-1)^(2/3)*d^2*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))-1/27*(-1)^(1/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+1/54*(-1)^(1/3)*d^2*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(4/3)*b^(5/3))-1/27*(-1)^(2/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-1/6*sin(c+d*x)/(b*(a+b*x^3)^2)],
[x*sin(c+d*x)/(a+b*x^3)^3,x,89,-2/27*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^2*b)-2/27*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^2*b)-2/27*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^2*b)+1/18*d*cos(c+d*x)/(a*b^2*x^3)-1/18*d*cos(c+d*x)/(b^2*x^3*(a+b*x^3))+2/27*(-1)^(2/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(7/3)*b^(2/3))+1/54*(-1)^(1/3)*d^2*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(5/3)*b^(4/3))-2/27*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(7/3)*b^(2/3))+1/54*d^2*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(4/3))+2/27*(-1)^(1/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(7/3)*b^(2/3))+1/54*(-1)^(2/3)*d^2*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(5/3)*b^(4/3))-2/27*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+1/54*d^2*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+2/27*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^2*b)-2/27*(-1)^(2/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/54*(-1)^(1/3)*d^2*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))-2/27*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^2*b)+2/27*(-1)^(1/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+1/54*(-1)^(2/3)*d^2*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(5/3)*b^(4/3))+2/27*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^2*b)-1/18*sin(c+d*x)/(a*b^2*x^4)+2/9*sin(c+d*x)/(a^2*b*x)-1/6*sin(c+d*x)/(b*x*(a+b*x^3)^2)+1/18*sin(c+d*x)/(b^2*x^4*(a+b*x^3))],
[sin(c+d*x)/(a+b*x^3)^3,x,99,1/9*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+1/9*(-1)^(2/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/9*(-1)^(1/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+1/18*d*cos(c+d*x)/(a*b^2*x^4)-1/18*d*cos(c+d*x)/(a^2*b*x)-1/18*d*cos(c+d*x)/(b^2*x^4*(a+b*x^3))+5/27*(-1)^(1/3)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(8/3)*b^(1/3))+1/54*d^2*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^2*b)+5/27*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(8/3)*b^(1/3))-1/54*d^2*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^2*b)+5/27*(-1)^(2/3)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(8/3)*b^(1/3))-1/54*d^2*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^2*b)+5/27*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))-1/54*d^2*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^2*b)-1/9*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-5/27*(-1)^(1/3)*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))-1/54*d^2*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^2*b)+1/9*(-1)^(2/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+5/27*(-1)^(2/3)*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))-1/54*d^2*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^2*b)+1/9*(-1)^(1/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))-1/9*sin(c+d*x)/(a*b^2*x^5)+5/18*sin(c+d*x)/(a^2*b*x^2)-1/6*sin(c+d*x)/(b*x^2*(a+b*x^3)^2)+1/9*sin(c+d*x)/(b^2*x^5*(a+b*x^3))],
[sin(c+d*x)/(x*(a+b*x^3)^3),x,110,-4/27*d*Ci(a^(1/3)*d/b^(1/3)+d*x)*cos(c-a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))+4/27*(-1)^(1/3)*d*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))-4/27*(-1)^(2/3)*d*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))+1/18*d*cos(c+d*x)/(a*b^2*x^5)-1/18*d*cos(c+d*x)/(a^2*b*x^2)-1/18*d*cos(c+d*x)/(b^2*x^5*(a+b*x^3))+cos(c)*Si(d*x)/a^3+1/3*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/a^3-1/54*(-1)^(2/3)*d^2*cos(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)/(a^(7/3)*b^(2/3))-1/3*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/a^3+1/54*d^2*cos(c-a^(1/3)*d/b^(1/3))*Si(a^(1/3)*d/b^(1/3)+d*x)/(a^(7/3)*b^(2/3))-1/3*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/a^3-1/54*(-1)^(1/3)*d^2*cos(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)/(a^(7/3)*b^(2/3))+Ci(d*x)*sin(c)/a^3-1/3*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/a^3+1/54*d^2*Ci(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+4/27*d*Si(a^(1/3)*d/b^(1/3)+d*x)*sin(c-a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))-1/3*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/a^3+1/54*(-1)^(2/3)*d^2*Ci((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+4/27*(-1)^(1/3)*d*Si((-1)^(1/3)*a^(1/3)*d/b^(1/3)-d*x)*sin(c+(-1)^(1/3)*a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))-1/3*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/a^3-1/54*(-1)^(1/3)*d^2*Ci((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(7/3)*b^(2/3))+4/27*(-1)^(2/3)*d*Si((-1)^(2/3)*a^(1/3)*d/b^(1/3)+d*x)*sin(c-(-1)^(2/3)*a^(1/3)*d/b^(1/3))/(a^(8/3)*b^(1/3))-1/6*sin(c+d*x)/(a*b^2*x^6)+1/3*sin(c+d*x)/(a^2*b*x^3)-1/6*sin(c+d*x)/(b*x^3*(a+b*x^3)^2)+1/6*sin(c+d*x)/(b^2*x^6*(a+b*x^3))]]:
