lst:=[[(d*x+c)^4*sin(b*x+a),x,5,-24*d^4*cos(b*x+a)/b^5+12*d^2*(d*x+c)^2*cos(b*x+a)/b^3-(d*x+c)^4*cos(b*x+a)/b-24*d^3*(d*x+c)*sin(b*x+a)/b^4+4*d*(d*x+c)^3*sin(b*x+a)/b^2,1],
[(d*x+c)^3*sin(b*x+a),x,4,6*d^2*(d*x+c)*cos(b*x+a)/b^3-(d*x+c)^3*cos(b*x+a)/b-6*d^3*sin(b*x+a)/b^4+3*d*(d*x+c)^2*sin(b*x+a)/b^2,1],
[(d*x+c)^2*sin(b*x+a),x,3,2*d^2*cos(b*x+a)/b^3-(d*x+c)^2*cos(b*x+a)/b+2*d*(d*x+c)*sin(b*x+a)/b^2,1],
[(d*x+c)*sin(b*x+a),x,2,-(d*x+c)*cos(b*x+a)/b+d*sin(b*x+a)/b^2,1],
[sin(b*x+a)/(d*x+c),x,3,Ci(b*c/d+b*x)*sin(a-b*c/d)/d+cos(a-b*c/d)*Si(b*c/d+b*x)/d,1],
[sin(b*x+a)/(d*x+c)^2,x,4,b*cos(a-b*c/d)*Ci(b*c/d+b*x)/d^2-sin(b*x+a)/d/(d*x+c)-b*sin(a-b*c/d)*Si(b*c/d+b*x)/d^2,1],
[sin(b*x+a)/(d*x+c)^3,x,5,-1/2*b*cos(b*x+a)/d^2/(d*x+c)-1/2*b^2*Ci(b*c/d+b*x)*sin(a-b*c/d)/d^3-1/2*sin(b*x+a)/d/(d*x+c)^2-1/2*b^2*cos(a-b*c/d)*Si(b*c/d+b*x)/d^3,1],
[(d*x+c)^4*sin(b*x+a)^2,x,6,3/4*d^4*x/b^4-1/2*d*(d*x+c)^3/b^2+1/10*(d*x+c)^5/d-3/4*d^4*cos(b*x+a)*sin(b*x+a)/b^5+3/2*d^2*(d*x+c)^2*cos(b*x+a)*sin(b*x+a)/b^3-1/2*(d*x+c)^4*cos(b*x+a)*sin(b*x+a)/b-3/2*d^3*(d*x+c)*sin(b*x+a)^2/b^4+d*(d*x+c)^3*sin(b*x+a)^2/b^2,1],
[(d*x+c)^3*sin(b*x+a)^2,x,4,-3/8*d*(d*x+c)^2/b^2+1/8*(d*x+c)^4/d+3/4*d^2*(d*x+c)*cos(b*x+a)*sin(b*x+a)/b^3-1/2*(d*x+c)^3*cos(b*x+a)*sin(b*x+a)/b-3/8*d^3*sin(b*x+a)^2/b^4+3/4*d*(d*x+c)^2*sin(b*x+a)^2/b^2,1],
[(d*x+c)^2*sin(b*x+a)^2,x,4,-1/4*d^2*x/b^2+1/6*(d*x+c)^3/d+1/4*d^2*cos(b*x+a)*sin(b*x+a)/b^3-1/2*(d*x+c)^2*cos(b*x+a)*sin(b*x+a)/b+1/2*d*(d*x+c)*sin(b*x+a)^2/b^2,1],
[(d*x+c)*sin(b*x+a)^2,x,2,1/4*(d*x+c)^2/d-1/2*(d*x+c)*cos(b*x+a)*sin(b*x+a)/b+1/4*d*sin(b*x+a)^2/b^2,1],
[sin(b*x+a)^2/(d*x+c),x,5,-1/2*cos(2*a-2*b*c/d)*Ci(2*b*c/d+2*b*x)/d+1/2*ln(d*x+c)/d+1/2*sin(2*a-2*b*c/d)*Si(2*b*c/d+2*b*x)/d,1],
[sin(b*x+a)^2/(d*x+c)^2,x,5,b*Ci(2*b*c/d+2*b*x)*sin(2*a-2*b*c/d)/d^2-sin(b*x+a)^2/d/(d*x+c)+b*cos(2*a-2*b*c/d)*Si(2*b*c/d+2*b*x)/d^2,1],
[sin(b*x+a)^2/(d*x+c)^3,x,7,b^2*cos(2*a-2*b*c/d)*Ci(2*b*c/d+2*b*x)/d^3-b*cos(b*x+a)*sin(b*x+a)/d^2/(d*x+c)-1/2*sin(b*x+a)^2/d/(d*x+c)^2-b^2*sin(2*a-2*b*c/d)*Si(2*b*c/d+2*b*x)/d^3,1],
[sin(b*x+a)^2/(d*x+c)^4,x,7,-1/3*b^2/d^3/(d*x+c)-2/3*b^3*Ci(2*b*c/d+2*b*x)*sin(2*a-2*b*c/d)/d^4-1/3*b*cos(b*x+a)*sin(b*x+a)/d^2/(d*x+c)^2-1/3*sin(b*x+a)^2/d/(d*x+c)^3+2/3*b^2*sin(b*x+a)^2/d^3/(d*x+c)-2/3*b^3*cos(2*a-2*b*c/d)*Si(2*b*c/d+2*b*x)/d^4,1],
[(d*x+c)^4*sin(b*x+a)^3,x,12,-488/27*d^4*cos(b*x+a)/b^5+80/9*d^2*(d*x+c)^2*cos(b*x+a)/b^3-2/3*(d*x+c)^4*cos(b*x+a)/b+8/81*d^4*cos(b*x+a)^3/b^5-160/9*d^3*(d*x+c)*sin(b*x+a)/b^4+8/3*d*(d*x+c)^3*sin(b*x+a)/b^2+4/9*d^2*(d*x+c)^2*cos(b*x+a)*sin(b*x+a)^2/b^3-1/3*(d*x+c)^4*cos(b*x+a)*sin(b*x+a)^2/b-8/27*d^3*(d*x+c)*sin(b*x+a)^3/b^4+4/9*d*(d*x+c)^3*sin(b*x+a)^3/b^2,1],
[(d*x+c)^3*sin(b*x+a)^3,x,8,40/9*d^2*(d*x+c)*cos(b*x+a)/b^3-2/3*(d*x+c)^3*cos(b*x+a)/b-40/9*d^3*sin(b*x+a)/b^4+2*d*(d*x+c)^2*sin(b*x+a)/b^2+2/9*d^2*(d*x+c)*cos(b*x+a)*sin(b*x+a)^2/b^3-1/3*(d*x+c)^3*cos(b*x+a)*sin(b*x+a)^2/b-2/27*d^3*sin(b*x+a)^3/b^4+1/3*d*(d*x+c)^2*sin(b*x+a)^3/b^2,1],
[(d*x+c)^2*sin(b*x+a)^3,x,6,14/9*d^2*cos(b*x+a)/b^3-2/3*(d*x+c)^2*cos(b*x+a)/b-2/27*d^2*cos(b*x+a)^3/b^3+4/3*d*(d*x+c)*sin(b*x+a)/b^2-1/3*(d*x+c)^2*cos(b*x+a)*sin(b*x+a)^2/b+2/9*d*(d*x+c)*sin(b*x+a)^3/b^2,1],
[(d*x+c)*sin(b*x+a)^3,x,3,-2/3*(d*x+c)*cos(b*x+a)/b+2/3*d*sin(b*x+a)/b^2-1/3*(d*x+c)*cos(b*x+a)*sin(b*x+a)^2/b+1/9*d*sin(b*x+a)^3/b^2,1],
[sin(b*x+a)^3/(d*x+c),x,8,-1/4*Ci(3*b*c/d+3*b*x)*sin(3*a-3*b*c/d)/d+3/4*Ci(b*c/d+b*x)*sin(a-b*c/d)/d+3/4*cos(a-b*c/d)*Si(b*c/d+b*x)/d-1/4*cos(3*a-3*b*c/d)*Si(3*b*c/d+3*b*x)/d,1],
[sin(b*x+a)^3/(d*x+c)^2,x,8,3/4*b*cos(a-b*c/d)*Ci(b*c/d+b*x)/d^2-3/4*b*cos(3*a-3*b*c/d)*Ci(3*b*c/d+3*b*x)/d^2-sin(b*x+a)^3/d/(d*x+c)-3/4*b*sin(a-b*c/d)*Si(b*c/d+b*x)/d^2+3/4*b*sin(3*a-3*b*c/d)*Si(3*b*c/d+3*b*x)/d^2,1],
[sin(b*x+a)^3/(d*x+c)^3,x,12,9/8*b^2*Ci(3*b*c/d+3*b*x)*sin(3*a-3*b*c/d)/d^3-3/8*b^2*Ci(b*c/d+b*x)*sin(a-b*c/d)/d^3-3/2*b*cos(b*x+a)*sin(b*x+a)^2/d^2/(d*x+c)-1/2*sin(b*x+a)^3/d/(d*x+c)^2-3/8*b^2*cos(a-b*c/d)*Si(b*c/d+b*x)/d^3+9/8*b^2*cos(3*a-3*b*c/d)*Si(3*b*c/d+3*b*x)/d^3,1],
[(d*x+c)^3*csc(b*x+a),x,9,-2*(d*x+c)^3*arctanh(exp(I*(b*x+a)))/b+3*I*d*(d*x+c)^2*polylog(2,-exp(I*(b*x+a)))/b^2-3*I*d*(d*x+c)^2*polylog(2,exp(I*(b*x+a)))/b^2-6*d^2*(d*x+c)*polylog(3,-exp(I*(b*x+a)))/b^3+6*d^2*(d*x+c)*polylog(3,exp(I*(b*x+a)))/b^3-6*I*d^3*polylog(4,-exp(I*(b*x+a)))/b^4+6*I*d^3*polylog(4,exp(I*(b*x+a)))/b^4,1],
[(d*x+c)^2*csc(b*x+a),x,7,-2*(d*x+c)^2*arctanh(exp(I*(b*x+a)))/b+2*I*d*(d*x+c)*polylog(2,-exp(I*(b*x+a)))/b^2-2*I*d*(d*x+c)*polylog(2,exp(I*(b*x+a)))/b^2-2*d^2*polylog(3,-exp(I*(b*x+a)))/b^3+2*d^2*polylog(3,exp(I*(b*x+a)))/b^3,1],
[(d*x+c)*csc(b*x+a),x,5,-2*(d*x+c)*arctanh(exp(I*(b*x+a)))/b+I*d*polylog(2,-exp(I*(b*x+a)))/b^2-I*d*polylog(2,exp(I*(b*x+a)))/b^2,1],
[csc(b*x+a)/(d*x+c),x,0,Defer(Int)(csc(b*x+a)/(d*x+c),x),0],
[csc(b*x+a)/(d*x+c)^2,x,0,Defer(Int)(csc(b*x+a)/(d*x+c)^2,x),0],
[(d*x+c)^3*csc(b*x+a)^2,x,6,-I*(d*x+c)^3/b-(d*x+c)^3*cot(b*x+a)/b+3*d*(d*x+c)^2*ln(1-exp(2*I*(b*x+a)))/b^2-3*I*d^2*(d*x+c)*polylog(2,exp(2*I*(b*x+a)))/b^3+3/2*d^3*polylog(3,exp(2*I*(b*x+a)))/b^4,1],
[(d*x+c)^2*csc(b*x+a)^2,x,5,-I*(d*x+c)^2/b-(d*x+c)^2*cot(b*x+a)/b+2*d*(d*x+c)*ln(1-exp(2*I*(b*x+a)))/b^2-I*d^2*polylog(2,exp(2*I*(b*x+a)))/b^3,1],
[(d*x+c)*csc(b*x+a)^2,x,2,-(d*x+c)*cot(b*x+a)/b+d*ln(sin(b*x+a))/b^2,1],
[csc(b*x+a)^2/(d*x+c),x,0,Defer(Int)(csc(b*x+a)^2/(d*x+c),x),0],
[csc(b*x+a)^2/(d*x+c)^2,x,0,Defer(Int)(csc(b*x+a)^2/(d*x+c)^2,x),0],
[(d*x+c)^3*csc(b*x+a)^3,x,15,-6*d^2*(d*x+c)*arctanh(exp(I*(b*x+a)))/b^3-(d*x+c)^3*arctanh(exp(I*(b*x+a)))/b-3/2*d*(d*x+c)^2*csc(b*x+a)/b^2-1/2*(d*x+c)^3*cot(b*x+a)*csc(b*x+a)/b+3*I*d^3*polylog(2,-exp(I*(b*x+a)))/b^4+3/2*I*d*(d*x+c)^2*polylog(2,-exp(I*(b*x+a)))/b^2-3*I*d^3*polylog(2,exp(I*(b*x+a)))/b^4-3/2*I*d*(d*x+c)^2*polylog(2,exp(I*(b*x+a)))/b^2-3*d^2*(d*x+c)*polylog(3,-exp(I*(b*x+a)))/b^3+3*d^2*(d*x+c)*polylog(3,exp(I*(b*x+a)))/b^3-3*I*d^3*polylog(4,-exp(I*(b*x+a)))/b^4+3*I*d^3*polylog(4,exp(I*(b*x+a)))/b^4,1],
[(d*x+c)^2*csc(b*x+a)^3,x,9,-(d*x+c)^2*arctanh(exp(I*(b*x+a)))/b-d^2*arctanh(cos(b*x+a))/b^3-d*(d*x+c)*csc(b*x+a)/b^2-1/2*(d*x+c)^2*cot(b*x+a)*csc(b*x+a)/b+I*d*(d*x+c)*polylog(2,-exp(I*(b*x+a)))/b^2-I*d*(d*x+c)*polylog(2,exp(I*(b*x+a)))/b^2-d^2*polylog(3,-exp(I*(b*x+a)))/b^3+d^2*polylog(3,exp(I*(b*x+a)))/b^3,1],
[(d*x+c)*csc(b*x+a)^3,x,6,-(d*x+c)*arctanh(exp(I*(b*x+a)))/b-1/2*d*csc(b*x+a)/b^2-1/2*(d*x+c)*cot(b*x+a)*csc(b*x+a)/b+1/2*I*d*polylog(2,-exp(I*(b*x+a)))/b^2-1/2*I*d*polylog(2,exp(I*(b*x+a)))/b^2,1],
[csc(b*x+a)^3/(d*x+c),x,0,Defer(Int)(csc(b*x+a)^3/(d*x+c),x),0],
[csc(b*x+a)^3/(d*x+c)^2,x,0,Defer(Int)(csc(b*x+a)^3/(d*x+c)^2,x),0],
[(d*x+c)^(5/2)*sin(b*x+a),x,8,15/4*d^2*sqrt(d*x+c)*cos(b*x+a)/b^3-(d*x+c)^(5/2)*cos(b*x+a)/b-15/4*d^(5/2)*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/b^(7/2)+15/4*d^(5/2)*sqrt(1/2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/b^(7/2)+5/2*d*(d*x+c)^(3/2)*sin(b*x+a)/b^2,1],
[(d*x+c)^(3/2)*sin(b*x+a),x,7,-(d*x+c)^(3/2)*cos(b*x+a)/b-3/2*d^(3/2)*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/b^(5/2)-3/2*d^(3/2)*sqrt(1/2*Pi)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/b^(5/2)+3/2*d*sqrt(d*x+c)*sin(b*x+a)/b^2,1],
[sqrt(d*x+c)*sin(b*x+a),x,6,-sqrt(d*x+c)*cos(b*x+a)/b+sqrt(d)*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/b^(3/2)-sqrt(d)*sqrt(1/2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/b^(3/2),1],
[sin(b*x+a)/sqrt(d*x+c),x,5,sqrt(2*Pi)*cos(a-b*c/d)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/sqrt(b)/sqrt(d)+sqrt(2*Pi)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/sqrt(b)/sqrt(d),1],
[sin(b*x+a)/(d*x+c)^(3/2),x,6,2*sqrt(b)*sqrt(2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/d^(3/2)-2*sqrt(b)*sqrt(2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/d^(3/2)-2*sin(b*x+a)/d/sqrt(d*x+c),1],
[sin(b*x+a)/(d*x+c)^(5/2),x,7,-4/3*b*cos(b*x+a)/d^2/sqrt(d*x+c)-4/3*b^(3/2)*sqrt(2*Pi)*cos(a-b*c/d)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/d^(5/2)-4/3*b^(3/2)*sqrt(2*Pi)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/d^(5/2)-2/3*sin(b*x+a)/d/(d*x+c)^(3/2),1],
[sin(b*x+a)/(d*x+c)^(7/2),x,8,-4/15*b*cos(b*x+a)/d^2/(d*x+c)^(3/2)-8/15*b^(5/2)*sqrt(2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/d^(7/2)+8/15*b^(5/2)*sqrt(2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/d^(7/2)-2/5*sin(b*x+a)/d/(d*x+c)^(5/2)+8/15*b^2*sin(b*x+a)/d^3/sqrt(d*x+c),1],
[(d*x+c)^(5/2)*sin(b*x+a)^2,x,10,-5/16*d*(d*x+c)^(3/2)/b^2+1/7*(d*x+c)^(7/2)/d-15/128*d^(5/2)*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/b^(7/2)-15/128*d^(5/2)*sqrt(Pi)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/b^(7/2)-1/2*(d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a)/b+5/8*d*(d*x+c)^(3/2)*sin(b*x+a)^2/b^2+15/64*d^2*sqrt(d*x+c)*sin(2*b*x+2*a)/b^3,1],
[(d*x+c)^(3/2)*sin(b*x+a)^2,x,9,-3/16*d*sqrt(d*x+c)/b^2+1/5*(d*x+c)^(5/2)/d+3/32*d^(3/2)*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/b^(5/2)-3/32*d^(3/2)*sqrt(Pi)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/b^(5/2)-1/2*(d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a)/b+3/8*d*sqrt(d*x+c)*sin(b*x+a)^2/b^2,1],
[sqrt(d*x+c)*sin(b*x+a)^2,x,8,1/3*(d*x+c)^(3/2)/d+1/8*sqrt(d)*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/b^(3/2)+1/8*sqrt(d)*sqrt(Pi)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/b^(3/2)-1/4*sqrt(d*x+c)*sin(2*b*x+2*a)/b,1],
[sin(b*x+a)^2/sqrt(d*x+c),x,7,sqrt(d*x+c)/d-1/2*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/sqrt(b)/sqrt(d)+1/2*sqrt(Pi)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/sqrt(b)/sqrt(d),1],
[sin(b*x+a)^2/(d*x+c)^(3/2),x,7,2*sqrt(b)*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/d^(3/2)+2*sqrt(b)*sqrt(Pi)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/d^(3/2)-2*sin(b*x+a)^2/d/sqrt(d*x+c),1],
[sin(b*x+a)^2/(d*x+c)^(5/2),x,9,8/3*b^(3/2)*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/d^(5/2)-8/3*b^(3/2)*sqrt(Pi)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/d^(5/2)-8/3*b*cos(b*x+a)*sin(b*x+a)/d^2/sqrt(d*x+c)-2/3*sin(b*x+a)^2/d/(d*x+c)^(3/2),1],
[sin(b*x+a)^2/(d*x+c)^(7/2),x,9,-16/15*b^2/d^3/sqrt(d*x+c)-32/15*b^(5/2)*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/d^(7/2)-32/15*b^(5/2)*sqrt(Pi)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/d^(7/2)-8/15*b*cos(b*x+a)*sin(b*x+a)/d^2/(d*x+c)^(3/2)-2/5*sin(b*x+a)^2/d/(d*x+c)^(5/2)+32/15*b^2*sin(b*x+a)^2/d^3/sqrt(d*x+c),1],
[sin(b*x+a)^2/(d*x+c)^(9/2),x,11,-16/105*b^2/d^3/(d*x+c)^(3/2)-128/105*b^(7/2)*sqrt(Pi)*cos(2*a-2*b*c/d)*FresnelC(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))/d^(9/2)+128/105*b^(7/2)*sqrt(Pi)*FresnelS(2*sqrt(b)*sqrt(d*x+c)/sqrt(d)/sqrt(Pi))*sin(2*a-2*b*c/d)/d^(9/2)-8/35*b*cos(b*x+a)*sin(b*x+a)/d^2/(d*x+c)^(5/2)+128/105*b^3*cos(b*x+a)*sin(b*x+a)/d^4/sqrt(d*x+c)-2/7*sin(b*x+a)^2/d/(d*x+c)^(7/2)+32/105*b^2*sin(b*x+a)^2/d^3/(d*x+c)^(3/2),1],
[(d*x+c)^(5/2)*sin(b*x+a)^3,x,23,45/16*d^2*sqrt(d*x+c)*cos(b*x+a)/b^3-2/3*(d*x+c)^(5/2)*cos(b*x+a)/b-5/144*d^2*sqrt(d*x+c)*cos(3*b*x+3*a)/b^3-45/16*d^(5/2)*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/b^(7/2)+5/144*d^(5/2)*sqrt(1/6*Pi)*cos(3*a-3*b*c/d)*FresnelC(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))/b^(7/2)-5/144*d^(5/2)*sqrt(1/6*Pi)*FresnelS(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))*sin(3*a-3*b*c/d)/b^(7/2)+45/16*d^(5/2)*sqrt(1/2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/b^(7/2)+5/3*d*(d*x+c)^(3/2)*sin(b*x+a)/b^2-1/3*(d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a)^2/b+5/18*d*(d*x+c)^(3/2)*sin(b*x+a)^3/b^2,1],
[(d*x+c)^(3/2)*sin(b*x+a)^3,x,20,-2/3*(d*x+c)^(3/2)*cos(b*x+a)/b-9/8*d^(3/2)*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/b^(5/2)+1/24*d^(3/2)*sqrt(1/6*Pi)*cos(3*a-3*b*c/d)*FresnelS(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))/b^(5/2)+1/24*d^(3/2)*sqrt(1/6*Pi)*FresnelC(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))*sin(3*a-3*b*c/d)/b^(5/2)-9/8*d^(3/2)*sqrt(1/2*Pi)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/b^(5/2)+d*sqrt(d*x+c)*sin(b*x+a)/b^2-1/3*(d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a)^2/b+1/6*d*sqrt(d*x+c)*sin(b*x+a)^3/b^2,1],
[sqrt(d*x+c)*sin(b*x+a)^3,x,14,-3/4*sqrt(d*x+c)*cos(b*x+a)/b+1/12*sqrt(d*x+c)*cos(3*b*x+3*a)/b+3/4*sqrt(d)*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/b^(3/2)-1/12*sqrt(d)*sqrt(1/6*Pi)*cos(3*a-3*b*c/d)*FresnelC(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))/b^(3/2)+1/12*sqrt(d)*sqrt(1/6*Pi)*FresnelS(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))*sin(3*a-3*b*c/d)/b^(3/2)-3/4*sqrt(d)*sqrt(1/2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/b^(3/2),1],
[sin(b*x+a)^3/sqrt(d*x+c),x,12,3/2*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/sqrt(b)/sqrt(d)-1/2*sqrt(1/6*Pi)*cos(3*a-3*b*c/d)*FresnelS(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))/sqrt(b)/sqrt(d)-1/2*sqrt(1/6*Pi)*FresnelC(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))*sin(3*a-3*b*c/d)/sqrt(b)/sqrt(d)+3/2*sqrt(1/2*Pi)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/sqrt(b)/sqrt(d),1],
[sin(b*x+a)^3/(d*x+c)^(3/2),x,12,3*sqrt(b)*sqrt(1/2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/d^(3/2)-sqrt(b)*sqrt(3/2*Pi)*cos(3*a-3*b*c/d)*FresnelC(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))/d^(3/2)+sqrt(b)*sqrt(3/2*Pi)*FresnelS(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))*sin(3*a-3*b*c/d)/d^(3/2)-3*sqrt(b)*sqrt(1/2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/d^(3/2)-2*sin(b*x+a)^3/d/sqrt(d*x+c),1],
[sin(b*x+a)^3/(d*x+c)^(5/2),x,18,-b^(3/2)*sqrt(2*Pi)*cos(a-b*c/d)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/d^(5/2)+b^(3/2)*sqrt(6*Pi)*cos(3*a-3*b*c/d)*FresnelS(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))/d^(5/2)+b^(3/2)*sqrt(6*Pi)*FresnelC(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))*sin(3*a-3*b*c/d)/d^(5/2)-b^(3/2)*sqrt(2*Pi)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/d^(5/2)-4*b*cos(b*x+a)*sin(b*x+a)^2/d^2/sqrt(d*x+c)-2/3*sin(b*x+a)^3/d/(d*x+c)^(3/2),1],
[sin(b*x+a)^3/(d*x+c)^(7/2),x,19,-2/5*b^(5/2)*sqrt(2*Pi)*cos(a-b*c/d)*FresnelC(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))/d^(7/2)+6/5*b^(5/2)*sqrt(6*Pi)*cos(3*a-3*b*c/d)*FresnelC(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))/d^(7/2)-6/5*b^(5/2)*sqrt(6*Pi)*FresnelS(sqrt(b)*sqrt(6/Pi)*sqrt(d*x+c)/sqrt(d))*sin(3*a-3*b*c/d)/d^(7/2)+2/5*b^(5/2)*sqrt(2*Pi)*FresnelS(sqrt(b)*sqrt(2/Pi)*sqrt(d*x+c)/sqrt(d))*sin(a-b*c/d)/d^(7/2)-16/5*b^2*sin(b*x+a)/d^3/sqrt(d*x+c)-4/5*b*cos(b*x+a)*sin(b*x+a)^2/d^2/(d*x+c)^(3/2)-2/5*sin(b*x+a)^3/d/(d*x+c)^(5/2)+24/5*b^2*sin(b*x+a)^3/d^3/sqrt(d*x+c),1],
[(d*x)^(3/2)*sin(f*x),x,4,-(d*x)^(3/2)*cos(f*x)/f-3/2*d^(3/2)*sqrt(1/2*Pi)*FresnelS(sqrt(f)*sqrt(2/Pi)*sqrt(d*x)/sqrt(d))/f^(5/2)+3/2*d*sqrt(d*x)*sin(f*x)/f^2,1],
[sqrt(d*x)*sin(f*x),x,3,-sqrt(d*x)*cos(f*x)/f+sqrt(d)*sqrt(1/2*Pi)*FresnelC(sqrt(f)*sqrt(2/Pi)*sqrt(d*x)/sqrt(d))/f^(3/2),1],
[sin(f*x)/sqrt(d*x),x,2,sqrt(2*Pi)*FresnelS(sqrt(f)*sqrt(2/Pi)*sqrt(d*x)/sqrt(d))/sqrt(d)/sqrt(f),1],
[sin(f*x)/(d*x)^(3/2),x,3,2*sqrt(f)*sqrt(2*Pi)*FresnelC(sqrt(f)*sqrt(2/Pi)*sqrt(d*x)/sqrt(d))/d^(3/2)-2*sin(f*x)/d/sqrt(d*x),1],
[sin(f*x)/(d*x)^(5/2),x,4,-4/3*f*cos(f*x)/d^2/sqrt(d*x)-4/3*f^(3/2)*sqrt(2*Pi)*FresnelS(sqrt(f)*sqrt(2/Pi)*sqrt(d*x)/sqrt(d))/d^(5/2)-2/3*sin(f*x)/d/(d*x)^(3/2),1],
[sqrt(d*x+c)*csc(b*x+a),x,0,Defer(Int)(sqrt(d*x+c)*csc(b*x+a),x),0],
[csc(b*x+a)/sqrt(d*x+c),x,0,Defer(Int)(csc(b*x+a)/sqrt(d*x+c),x),0],
[x/sin(f*x+e)^(3/2)+x*sqrt(sin(f*x+e)),x,4,-2*x*cos(f*x+e)/f/sqrt(sin(f*x+e))+4*sqrt(sin(f*x+e))/f^2,1],
[x^2/sin(f*x+e)^(3/2)+x^2*sqrt(sin(f*x+e)),x,5,-16*EllipticE(sin(1/2*e-1/4*Pi+1/2*f*x),sqrt(2))/f^3-2*x^2*cos(f*x+e)/f/sqrt(sin(f*x+e))+8*x*sqrt(sin(f*x+e))/f^2,1],
[x/sin(f*x+e)^(5/2)-1/3*x/sqrt(sin(f*x+e)),x,4,-2/3*x*cos(f*x+e)/f/sin(f*x+e)^(3/2)-4/3/f^2/sqrt(sin(f*x+e)),1],
[x/sin(f*x+e)^(7/2)+3/5*x*sqrt(sin(f*x+e)),x,5,-2/5*x*cos(f*x+e)/f/sin(f*x+e)^(5/2)-4/15/f^2/sin(f*x+e)^(3/2)-6/5*x*cos(f*x+e)/f/sqrt(sin(f*x+e))+12/5*sqrt(sin(f*x+e))/f^2,1],
[(d*x+c)^m*(b*sin(f*x+e))^n,x,0,Defer(Int)((d*x+c)^m*(b*sin(f*x+e))^n,x),0],
[(d*x+c)^m*sin(b*x+a)^3,x,8,-3/8*exp(I*(a-b*c/d))*(d*x+c)^m*GAMMA(1+m,-I*b*(d*x+c)/d)/b/((-I*b*(d*x+c)/d)^m)-3/8*(d*x+c)^m*GAMMA(1+m,I*b*(d*x+c)/d)/b/exp(I*(a-b*c/d))/((I*b*(d*x+c)/d)^m)+1/8*3^(-1-m)*exp(3*I*(a-b*c/d))*(d*x+c)^m*GAMMA(1+m,-3*I*b*(d*x+c)/d)/b/((-I*b*(d*x+c)/d)^m)+1/8*3^(-1-m)*(d*x+c)^m*GAMMA(1+m,3*I*b*(d*x+c)/d)/b/exp(3*I*(a-b*c/d))/((I*b*(d*x+c)/d)^m),1],
[(d*x+c)^m*sin(b*x+a)^2,x,5,1/2*(d*x+c)^(1+m)/d/(1+m)+I*2^(-3-m)*exp(2*I*(a-b*c/d))*(d*x+c)^m*GAMMA(1+m,-2*I*b*(d*x+c)/d)/b/((-I*b*(d*x+c)/d)^m)-I*2^(-3-m)*(d*x+c)^m*GAMMA(1+m,2*I*b*(d*x+c)/d)/b/exp(2*I*(a-b*c/d))/((I*b*(d*x+c)/d)^m),1],
[(d*x+c)^m*sin(b*x+a),x,3,-1/2*exp(I*(a-b*c/d))*(d*x+c)^m*GAMMA(1+m,-I*b*(d*x+c)/d)/b/((-I*b*(d*x+c)/d)^m)-1/2*(d*x+c)^m*GAMMA(1+m,I*b*(d*x+c)/d)/b/exp(I*(a-b*c/d))/((I*b*(d*x+c)/d)^m),1],
[(d*x+c)^m*csc(b*x+a),x,0,Defer(Int)((d*x+c)^m*csc(b*x+a),x),0],
[(d*x+c)^m*csc(b*x+a)^2,x,0,Defer(Int)((d*x+c)^m*csc(b*x+a)^2,x),0],
[x^(3+m)*sin(b*x+a),x,3,1/2*I*exp(I*a)*x^m*GAMMA(4+m,-I*b*x)/b^4/((-I*b*x)^m)-1/2*I*x^m*GAMMA(4+m,I*b*x)/b^4/exp(I*a)/((I*b*x)^m),1],
[x^(2+m)*sin(b*x+a),x,3,1/2*exp(I*a)*x^m*GAMMA(3+m,-I*b*x)/b^3/((-I*b*x)^m)+1/2*x^m*GAMMA(3+m,I*b*x)/b^3/exp(I*a)/((I*b*x)^m),1],
[x^(1+m)*sin(b*x+a),x,3,-1/2*I*exp(I*a)*x^m*GAMMA(2+m,-I*b*x)/b^2/((-I*b*x)^m)+1/2*I*x^m*GAMMA(2+m,I*b*x)/b^2/exp(I*a)/((I*b*x)^m),1],
[x^m*sin(b*x+a),x,3,-1/2*exp(I*a)*x^m*GAMMA(1+m,-I*b*x)/b/((-I*b*x)^m)-1/2*x^m*GAMMA(1+m,I*b*x)/b/exp(I*a)/((I*b*x)^m),1],
[x^(-1+m)*sin(b*x+a),x,3,1/2*I*exp(I*a)*x^m*GAMMA(m,-I*b*x)/((-I*b*x)^m)-1/2*I*x^m*GAMMA(m,I*b*x)/exp(I*a)/((I*b*x)^m),1],
[x^(-2+m)*sin(b*x+a),x,3,1/2*b*exp(I*a)*x^m*GAMMA(-1+m,-I*b*x)/((-I*b*x)^m)+1/2*b*x^m*GAMMA(-1+m,I*b*x)/exp(I*a)/((I*b*x)^m),1],
[x^(-3+m)*sin(b*x+a),x,3,-1/2*I*b^2*exp(I*a)*x^m*GAMMA(-2+m,-I*b*x)/((-I*b*x)^m)+1/2*I*b^2*x^m*GAMMA(-2+m,I*b*x)/exp(I*a)/((I*b*x)^m),1],
[x^(3+m)*sin(b*x+a)^2,x,5,x^(4+m)/(8+2*m)+2^(-6-m)*exp(2*I*a)*x^m*GAMMA(4+m,-2*I*b*x)/b^4/((-I*b*x)^m)+2^(-6-m)*x^m*GAMMA(4+m,2*I*b*x)/b^4/exp(2*I*a)/((I*b*x)^m),1],
[x^(2+m)*sin(b*x+a)^2,x,5,x^(3+m)/(6+2*m)-I*2^(-5-m)*exp(2*I*a)*x^m*GAMMA(3+m,-2*I*b*x)/b^3/((-I*b*x)^m)+I*2^(-5-m)*x^m*GAMMA(3+m,2*I*b*x)/b^3/exp(2*I*a)/((I*b*x)^m),1],
[x^(1+m)*sin(b*x+a)^2,x,5,x^(2+m)/(4+2*m)-2^(-4-m)*exp(2*I*a)*x^m*GAMMA(2+m,-2*I*b*x)/b^2/((-I*b*x)^m)-2^(-4-m)*x^m*GAMMA(2+m,2*I*b*x)/b^2/exp(2*I*a)/((I*b*x)^m),1],
[x^m*sin(b*x+a)^2,x,5,x^(1+m)/(2+2*m)+I*2^(-3-m)*exp(2*I*a)*x^m*GAMMA(1+m,-2*I*b*x)/b/((-I*b*x)^m)-I*2^(-3-m)*x^m*GAMMA(1+m,2*I*b*x)/b/exp(2*I*a)/((I*b*x)^m),1],
[x^(-1+m)*sin(b*x+a)^2,x,5,1/2*x^m/m+2^(-2-m)*exp(2*I*a)*x^m*GAMMA(m,-2*I*b*x)/((-I*b*x)^m)+2^(-2-m)*x^m*GAMMA(m,2*I*b*x)/exp(2*I*a)/((I*b*x)^m),1],
[x^(-2+m)*sin(b*x+a)^2,x,5,-1/2*x^(-1+m)/(1-m)-I*2^(-1-m)*b*exp(2*I*a)*x^m*GAMMA(-1+m,-2*I*b*x)/((-I*b*x)^m)+I*2^(-1-m)*b*x^m*GAMMA(-1+m,2*I*b*x)/exp(2*I*a)/((I*b*x)^m),1],
[x^(-3+m)*sin(b*x+a)^2,x,5,-1/2*x^(-2+m)/(2-m)-b^2*exp(2*I*a)*x^m*GAMMA(-2+m,-2*I*b*x)/(2^m)/((-I*b*x)^m)-b^2*x^m*GAMMA(-2+m,2*I*b*x)/(2^m)/exp(2*I*a)/((I*b*x)^m),1],
[x/csc(f*x+e)^(3/2)-1/3*x*sqrt(csc(f*x+e)),x,6,4/9/f^2/csc(f*x+e)^(3/2)-2/3*x*cos(f*x+e)/f/sqrt(csc(f*x+e)),1],
[x^2/csc(f*x+e)^(3/2)-1/3*x^2*sqrt(csc(f*x+e)),x,9,8/9*x/f^2/csc(f*x+e)^(3/2)+16/27*cos(f*x+e)/f^3/sqrt(csc(f*x+e))-2/3*x^2*cos(f*x+e)/f/sqrt(csc(f*x+e))-16/27*sqrt(csc(f*x+e))*InverseJacobiAM(1/2*e-1/4*Pi+1/2*f*x,sqrt(2))*sqrt(sin(f*x+e))/f^3,1],
[x/csc(f*x+e)^(5/2)-3/5*x/sqrt(csc(f*x+e)),x,6,4/25/f^2/csc(f*x+e)^(5/2)-2/5*x*cos(f*x+e)/f/csc(f*x+e)^(3/2),1],
[x/csc(f*x+e)^(7/2)-5/21*x*sqrt(csc(f*x+e)),x,7,4/49/f^2/csc(f*x+e)^(7/2)-2/7*x*cos(f*x+e)/f/csc(f*x+e)^(5/2)+20/63/f^2/csc(f*x+e)^(3/2)-10/21*x*cos(f*x+e)/f/sqrt(csc(f*x+e)),1],
[(d*x+c)^3*(a+a*sin(f*x+e)),x,6,1/4*a*(d*x+c)^4/d+6*a*d^2*(d*x+c)*cos(f*x+e)/f^3-a*(d*x+c)^3*cos(f*x+e)/f-6*a*d^3*sin(f*x+e)/f^4+3*a*d*(d*x+c)^2*sin(f*x+e)/f^2,1],
[(d*x+c)^2*(a+a*sin(f*x+e)),x,5,1/3*a*(d*x+c)^3/d+2*a*d^2*cos(f*x+e)/f^3-a*(d*x+c)^2*cos(f*x+e)/f+2*a*d*(d*x+c)*sin(f*x+e)/f^2,1],
[(d*x+c)*(a+a*sin(f*x+e)),x,4,1/2*a*(d*x+c)^2/d-a*(d*x+c)*cos(f*x+e)/f+a*d*sin(f*x+e)/f^2,1],
[(a+a*sin(f*x+e))/(d*x+c),x,5,a*ln(d*x+c)/d+a*Ci(c*f/d+f*x)*sin(e-c*f/d)/d+a*cos(e-c*f/d)*Si(c*f/d+f*x)/d,1],
[(a+a*sin(f*x+e))/(d*x+c)^2,x,6,-a/d/(d*x+c)+a*f*cos(e-c*f/d)*Ci(c*f/d+f*x)/d^2-a*sin(f*x+e)/d/(d*x+c)-a*f*sin(e-c*f/d)*Si(c*f/d+f*x)/d^2,1],
[(a+a*sin(f*x+e))/(d*x+c)^3,x,7,-1/2*a/d/(d*x+c)^2-1/2*a*f*cos(f*x+e)/d^2/(d*x+c)-1/2*a*f^2*Ci(c*f/d+f*x)*sin(e-c*f/d)/d^3-1/2*a*sin(f*x+e)/d/(d*x+c)^2-1/2*a*f^2*cos(e-c*f/d)*Si(c*f/d+f*x)/d^3,1],
[(d*x+c)^3*(a+a*sin(f*x+e))^2,x,10,-3/8*a^2*d*(d*x+c)^2/f^2+3/8*a^2*(d*x+c)^4/d+12*a^2*d^2*(d*x+c)*cos(f*x+e)/f^3-2*a^2*(d*x+c)^3*cos(f*x+e)/f-12*a^2*d^3*sin(f*x+e)/f^4+6*a^2*d*(d*x+c)^2*sin(f*x+e)/f^2+3/4*a^2*d^2*(d*x+c)*cos(f*x+e)*sin(f*x+e)/f^3-1/2*a^2*(d*x+c)^3*cos(f*x+e)*sin(f*x+e)/f-3/8*a^2*d^3*sin(f*x+e)^2/f^4+3/4*a^2*d*(d*x+c)^2*sin(f*x+e)^2/f^2,1],
[(d*x+c)^2*(a+a*sin(f*x+e))^2,x,9,-1/4*a^2*d^2*x/f^2+1/2*a^2*(d*x+c)^3/d+4*a^2*d^2*cos(f*x+e)/f^3-2*a^2*(d*x+c)^2*cos(f*x+e)/f+4*a^2*d*(d*x+c)*sin(f*x+e)/f^2+1/4*a^2*d^2*cos(f*x+e)*sin(f*x+e)/f^3-1/2*a^2*(d*x+c)^2*cos(f*x+e)*sin(f*x+e)/f+1/2*a^2*d*(d*x+c)*sin(f*x+e)^2/f^2,1],
[(d*x+c)*(a+a*sin(f*x+e))^2,x,6,3/4*a^2*(d*x+c)^2/d-2*a^2*(d*x+c)*cos(f*x+e)/f+2*a^2*d*sin(f*x+e)/f^2-1/2*a^2*(d*x+c)*cos(f*x+e)*sin(f*x+e)/f+1/4*a^2*d*sin(f*x+e)^2/f^2,1],
[(a+a*sin(f*x+e))^2/(d*x+c),x,9,-1/2*a^2*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/d+3/2*a^2*ln(d*x+c)/d+2*a^2*Ci(c*f/d+f*x)*sin(e-c*f/d)/d+2*a^2*cos(e-c*f/d)*Si(c*f/d+f*x)/d+1/2*a^2*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/d,1],
[(a+a*sin(f*x+e))^2/(d*x+c)^2,x,9,2*a^2*f*cos(e-c*f/d)*Ci(c*f/d+f*x)/d^2+a^2*f*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/d^2-4*a^2*sin(1/2*e+1/4*Pi+1/2*f*x)^4/d/(d*x+c)-2*a^2*f*sin(e-c*f/d)*Si(c*f/d+f*x)/d^2+a^2*f*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/d^2,1],
[(a+a*sin(f*x+e))^2/(d*x+c)^3,x,15,a^2*f^2*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/d^3-a^2*f^2*Ci(c*f/d+f*x)*sin(e-c*f/d)/d^3-4*a^2*f*cos(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi+1/2*f*x)^3/d^2/(d*x+c)-2*a^2*sin(1/2*e+1/4*Pi+1/2*f*x)^4/d/(d*x+c)^2-a^2*f^2*cos(e-c*f/d)*Si(c*f/d+f*x)/d^3-a^2*f^2*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/d^3,1],
[(d*x+c)^3/(a+a*sin(f*x+e)),x,7,-I*(d*x+c)^3/a/f-(d*x+c)^3*cot(1/2*e+1/4*Pi+1/2*f*x)/a/f+6*d*(d*x+c)^2*ln(1-I*exp(I*(f*x+e)))/a/f^2-12*I*d^2*(d*x+c)*polylog(2,I*exp(I*(f*x+e)))/a/f^3+12*d^3*polylog(3,I*exp(I*(f*x+e)))/a/f^4,1],
[(d*x+c)^2/(a+a*sin(f*x+e)),x,6,-I*(d*x+c)^2/a/f-(d*x+c)^2*cot(1/2*e+1/4*Pi+1/2*f*x)/a/f+4*d*(d*x+c)*ln(1-I*exp(I*(f*x+e)))/a/f^2-4*I*d^2*polylog(2,I*exp(I*(f*x+e)))/a/f^3,1],
[(d*x+c)/(a+a*sin(f*x+e)),x,3,-(d*x+c)*cot(1/2*e+1/4*Pi+1/2*f*x)/a/f+2*d*ln(sin(1/2*e+1/4*Pi+1/2*f*x))/a/f^2,1],
[1/(d*x+c)/(a+a*sin(f*x+e)),x,0,Defer(Int)(1/(d*x+c)/(a+a*sin(f*x+e)),x),0],
[1/(d*x+c)^2/(a+a*sin(f*x+e)),x,0,Defer(Int)(1/(d*x+c)^2/(a+a*sin(f*x+e)),x),0],
[(d*x+c)^3/(a+a*sin(f*x+e))^2,x,10,-1/3*I*(d*x+c)^3/a^2/f-2*d^2*(d*x+c)*cot(1/2*e+1/4*Pi+1/2*f*x)/a^2/f^3-1/3*(d*x+c)^3*cot(1/2*e+1/4*Pi+1/2*f*x)/a^2/f-1/2*d*(d*x+c)^2*csc(1/2*e+1/4*Pi+1/2*f*x)^2/a^2/f^2-1/6*(d*x+c)^3*cot(1/2*e+1/4*Pi+1/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)^2/a^2/f+2*d*(d*x+c)^2*ln(1-I*exp(I*(f*x+e)))/a^2/f^2+4*d^3*ln(sin(1/2*e+1/4*Pi+1/2*f*x))/a^2/f^4-4*I*d^2*(d*x+c)*polylog(2,I*exp(I*(f*x+e)))/a^2/f^3+4*d^3*polylog(3,I*exp(I*(f*x+e)))/a^2/f^4,1],
[(d*x+c)^2/(a+a*sin(f*x+e))^2,x,9,-1/3*I*(d*x+c)^2/a^2/f-2/3*d^2*cot(1/2*e+1/4*Pi+1/2*f*x)/a^2/f^3-1/3*(d*x+c)^2*cot(1/2*e+1/4*Pi+1/2*f*x)/a^2/f-1/3*d*(d*x+c)*csc(1/2*e+1/4*Pi+1/2*f*x)^2/a^2/f^2-1/6*(d*x+c)^2*cot(1/2*e+1/4*Pi+1/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)^2/a^2/f+4/3*d*(d*x+c)*ln(1-I*exp(I*(f*x+e)))/a^2/f^2-4/3*I*d^2*polylog(2,I*exp(I*(f*x+e)))/a^2/f^3,1],
[(d*x+c)/(a+a*sin(f*x+e))^2,x,4,-1/3*(d*x+c)*cot(1/2*e+1/4*Pi+1/2*f*x)/a^2/f-1/6*d*csc(1/2*e+1/4*Pi+1/2*f*x)^2/a^2/f^2-1/6*(d*x+c)*cot(1/2*e+1/4*Pi+1/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)^2/a^2/f+2/3*d*ln(sin(1/2*e+1/4*Pi+1/2*f*x))/a^2/f^2,1],
[1/(d*x+c)/(a+a*sin(f*x+e))^2,x,0,Defer(Int)(1/(d*x+c)/(a+a*sin(f*x+e))^2,x),0],
[1/(d*x+c)^2/(a+a*sin(f*x+e))^2,x,0,Defer(Int)(1/(d*x+c)^2/(a+a*sin(f*x+e))^2,x),0],
[(d*x+c)^3/(a-a*sin(f*x+e)),x,7,-I*(d*x+c)^3/a/f+6*d*(d*x+c)^2*ln(1+I*exp(I*(f*x+e)))/a/f^2-12*I*d^2*(d*x+c)*polylog(2,-I*exp(I*(f*x+e)))/a/f^3+12*d^3*polylog(3,-I*exp(I*(f*x+e)))/a/f^4+(d*x+c)^3*tan(1/2*e+1/4*Pi+1/2*f*x)/a/f,1],
[(d*x+c)^2/(a-a*sin(f*x+e)),x,6,-I*(d*x+c)^2/a/f+4*d*(d*x+c)*ln(1+I*exp(I*(f*x+e)))/a/f^2-4*I*d^2*polylog(2,-I*exp(I*(f*x+e)))/a/f^3+(d*x+c)^2*tan(1/2*e+1/4*Pi+1/2*f*x)/a/f,1],
[(d*x+c)/(a-a*sin(f*x+e)),x,3,2*d*ln(cos(1/2*e+1/4*Pi+1/2*f*x))/a/f^2+(d*x+c)*tan(1/2*e+1/4*Pi+1/2*f*x)/a/f,1],
[1/(d*x+c)/(a-a*sin(f*x+e)),x,0,Defer(Int)(1/(d*x+c)/(a-a*sin(f*x+e)),x),0],
[1/(d*x+c)^2/(a-a*sin(f*x+e)),x,0,Defer(Int)(1/(d*x+c)^2/(a-a*sin(f*x+e)),x),0],
[x^3*sqrt(a+a*sin(d*x+c)),x,5,-96*sqrt(a+a*sin(d*x+c))/d^4+12*x^2*sqrt(a+a*sin(d*x+c))/d^2+48*x*cot(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))/d^3-2*x^3*cot(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))/d,1],
[x^2*sqrt(a+a*sin(d*x+c)),x,4,8*x*sqrt(a+a*sin(d*x+c))/d^2+16*cot(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))/d^3-2*x^2*cot(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))/d,1],
[x*sqrt(a+a*sin(d*x+c)),x,3,4*sqrt(a+a*sin(d*x+c))/d^2-2*x*cot(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))/d,1],
[sqrt(a+a*sin(d*x+c))/x,x,4,Ci(1/2*d*x)*csc(1/2*c+1/4*Pi+1/2*d*x)*sin(1/2*c+1/4*Pi)*sqrt(a+a*sin(d*x+c))+cos(1/2*c+1/4*Pi)*csc(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))*Si(1/2*d*x),1],
[sqrt(a+a*sin(d*x+c))/x^2,x,5,-sqrt(a+a*sin(d*x+c))/x-1/2*d*Ci(1/2*d*x)*csc(1/2*c+1/4*Pi+1/2*d*x)*sin(1/2*c-1/4*Pi)*sqrt(a+a*sin(d*x+c))-1/2*d*csc(1/2*c+1/4*Pi+1/2*d*x)*sin(1/2*c+1/4*Pi)*sqrt(a+a*sin(d*x+c))*Si(1/2*d*x),1],
[sqrt(a+a*sin(d*x+c))/x^3,x,6,-1/2*sqrt(a+a*sin(d*x+c))/x^2-1/4*d*cot(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))/x-1/8*d^2*Ci(1/2*d*x)*csc(1/2*c+1/4*Pi+1/2*d*x)*sin(1/2*c+1/4*Pi)*sqrt(a+a*sin(d*x+c))-1/8*d^2*cos(1/2*c+1/4*Pi)*csc(1/2*c+1/4*Pi+1/2*d*x)*sqrt(a+a*sin(d*x+c))*Si(1/2*d*x),1],
[x^3*(a+a*sin(f*x+e))^(3/2),x,9,-1280/9*a*sqrt(a+a*sin(f*x+e))/f^4+16*a*x^2*sqrt(a+a*sin(f*x+e))/f^2+640/9*a*x*cot(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f^3-8/3*a*x^3*cot(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f+32/9*a*x*cos(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f^3-4/3*a*x^3*cos(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f-64/27*a*sin(1/2*e+1/4*Pi+1/2*f*x)^2*sqrt(a+a*sin(f*x+e))/f^4+8/3*a*x^2*sin(1/2*e+1/4*Pi+1/2*f*x)^2*sqrt(a+a*sin(f*x+e))/f^2,1],
[x^2*(a+a*sin(f*x+e))^(3/2),x,7,32/3*a*x*sqrt(a+a*sin(f*x+e))/f^2+224/9*a*cot(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f^3-8/3*a*x^2*cot(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f-32/27*a*cos(1/2*e+1/4*Pi+1/2*f*x)^2*cot(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f^3-4/3*a*x^2*cos(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f+16/9*a*x*sin(1/2*e+1/4*Pi+1/2*f*x)^2*sqrt(a+a*sin(f*x+e))/f^2,1],
[x*(a+a*sin(f*x+e))^(3/2),x,4,16/3*a*sqrt(a+a*sin(f*x+e))/f^2-8/3*a*x*cot(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f-4/3*a*x*cos(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/f+8/9*a*sin(1/2*e+1/4*Pi+1/2*f*x)^2*sqrt(a+a*sin(f*x+e))/f^2,1],
[(a+a*sin(f*x+e))^(3/2)/x,x,9,1/2*a*cos(3/2*e-3/4*Pi)*Ci(3/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))+3/2*a*Ci(1/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi)*sqrt(a+a*sin(f*x+e))+3/2*a*cos(1/2*e+1/4*Pi)*csc(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))*Si(1/2*f*x)-1/2*a*csc(1/2*e+1/4*Pi+1/2*f*x)*sin(3/2*e-3/4*Pi)*sqrt(a+a*sin(f*x+e))*Si(3/2*f*x),1],
[(a+a*sin(f*x+e))^(3/2)/x^2,x,9,-3/4*a*f*Ci(1/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e-1/4*Pi)*sqrt(a+a*sin(f*x+e))+3/4*a*f*Ci(3/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)*sin(3/2*e+1/4*Pi)*sqrt(a+a*sin(f*x+e))-2*a*sin(1/2*e+1/4*Pi+1/2*f*x)^2*sqrt(a+a*sin(f*x+e))/x-3/4*a*f*csc(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi)*sqrt(a+a*sin(f*x+e))*Si(1/2*f*x)+3/4*a*f*cos(3/2*e+1/4*Pi)*csc(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))*Si(3/2*f*x),1],
[(a+a*sin(f*x+e))^(3/2)/x^3,x,13,-9/16*a*f^2*cos(3/2*e-3/4*Pi)*Ci(3/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))-3/16*a*f^2*Ci(1/2*f*x)*csc(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi)*sqrt(a+a*sin(f*x+e))-3/2*a*f*cos(1/2*e+1/4*Pi+1/2*f*x)*sin(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))/x-a*sin(1/2*e+1/4*Pi+1/2*f*x)^2*sqrt(a+a*sin(f*x+e))/x^2-3/16*a*f^2*cos(1/2*e+1/4*Pi)*csc(1/2*e+1/4*Pi+1/2*f*x)*sqrt(a+a*sin(f*x+e))*Si(1/2*f*x)+9/16*a*f^2*csc(1/2*e+1/4*Pi+1/2*f*x)*sin(3/2*e-3/4*Pi)*sqrt(a+a*sin(f*x+e))*Si(3/2*f*x),1],
[x^3/sqrt(a+a*sin(d*x+c)),x,10,-4*x^3*arctanh(exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d/sqrt(a+a*sin(d*x+c))+12*I*x^2*polylog(2,-exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^2/sqrt(a+a*sin(d*x+c))-12*I*x^2*polylog(2,exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^2/sqrt(a+a*sin(d*x+c))-48*x*polylog(3,-exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^3/sqrt(a+a*sin(d*x+c))+48*x*polylog(3,exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^3/sqrt(a+a*sin(d*x+c))-96*I*polylog(4,-exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^4/sqrt(a+a*sin(d*x+c))+96*I*polylog(4,exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^4/sqrt(a+a*sin(d*x+c)),1],
[x^2/sqrt(a+a*sin(d*x+c)),x,8,-4*x^2*arctanh(exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d/sqrt(a+a*sin(d*x+c))+8*I*x*polylog(2,-exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^2/sqrt(a+a*sin(d*x+c))-8*I*x*polylog(2,exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^2/sqrt(a+a*sin(d*x+c))-16*polylog(3,-exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^3/sqrt(a+a*sin(d*x+c))+16*polylog(3,exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^3/sqrt(a+a*sin(d*x+c)),1],
[x/sqrt(a+a*sin(d*x+c)),x,6,-4*x*arctanh(exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d/sqrt(a+a*sin(d*x+c))+4*I*polylog(2,-exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^2/sqrt(a+a*sin(d*x+c))-4*I*polylog(2,exp(1/4*I*(2*d*x+Pi+2*c)))*sin(1/2*c+1/4*Pi+1/2*d*x)/d^2/sqrt(a+a*sin(d*x+c)),1],
[1/x/sqrt(a+a*sin(d*x+c)),x,0,Defer(Int)(1/x/sqrt(a+a*sin(d*x+c)),x),0],
[1/x^2/sqrt(a+a*sin(d*x+c)),x,0,Defer(Int)(1/x^2/sqrt(a+a*sin(d*x+c)),x),0],
[x^3/(a+a*sin(f*x+e))^(3/2),x,16,-3*x^2/a/f^2/sqrt(a+a*sin(f*x+e))-1/2*x^3*cot(1/2*e+1/4*Pi+1/2*f*x)/a/f/sqrt(a+a*sin(f*x+e))-24*x*arctanh(exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^3/sqrt(a+a*sin(f*x+e))-x^3*arctanh(exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f/sqrt(a+a*sin(f*x+e))+24*I*polylog(2,-exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^4/sqrt(a+a*sin(f*x+e))+3*I*x^2*polylog(2,-exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^2/sqrt(a+a*sin(f*x+e))-24*I*polylog(2,exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^4/sqrt(a+a*sin(f*x+e))-3*I*x^2*polylog(2,exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^2/sqrt(a+a*sin(f*x+e))-12*x*polylog(3,-exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^3/sqrt(a+a*sin(f*x+e))+12*x*polylog(3,exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^3/sqrt(a+a*sin(f*x+e))-24*I*polylog(4,-exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^4/sqrt(a+a*sin(f*x+e))+24*I*polylog(4,exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^4/sqrt(a+a*sin(f*x+e)),1],
[x^2/(a+a*sin(f*x+e))^(3/2),x,10,-2*x/a/f^2/sqrt(a+a*sin(f*x+e))-1/2*x^2*cot(1/2*e+1/4*Pi+1/2*f*x)/a/f/sqrt(a+a*sin(f*x+e))-x^2*arctanh(exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f/sqrt(a+a*sin(f*x+e))-4*arctanh(cos(1/2*e+1/4*Pi+1/2*f*x))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^3/sqrt(a+a*sin(f*x+e))+2*I*x*polylog(2,-exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^2/sqrt(a+a*sin(f*x+e))-2*I*x*polylog(2,exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^2/sqrt(a+a*sin(f*x+e))-4*polylog(3,-exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^3/sqrt(a+a*sin(f*x+e))+4*polylog(3,exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^3/sqrt(a+a*sin(f*x+e)),1],
[x/(a+a*sin(f*x+e))^(3/2),x,7,-1/a/f^2/sqrt(a+a*sin(f*x+e))-1/2*x*cot(1/2*e+1/4*Pi+1/2*f*x)/a/f/sqrt(a+a*sin(f*x+e))-x*arctanh(exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f/sqrt(a+a*sin(f*x+e))+I*polylog(2,-exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^2/sqrt(a+a*sin(f*x+e))-I*polylog(2,exp(1/4*I*(2*f*x+Pi+2*e)))*sin(1/2*e+1/4*Pi+1/2*f*x)/a/f^2/sqrt(a+a*sin(f*x+e)),1],
[1/x/(a+a*sin(f*x+e))^(3/2),x,0,Defer(Int)(1/x/(a+a*sin(f*x+e))^(3/2),x),0],
[1/x^2/(a+a*sin(f*x+e))^(3/2),x,0,Defer(Int)(1/x^2/(a+a*sin(f*x+e))^(3/2),x),0],
[(a+a*sin(d*x+c))^(1/3)/x,x,0,Defer(Int)((a+a*sin(d*x+c))^(1/3)/x,x),0],
[(d*x+c)^m*(a+a*sin(f*x+e))^n,x,0,Defer(Int)((d*x+c)^m*(a+a*sin(f*x+e))^n,x),0],
[(d*x+c)^m*(a+a*sin(f*x+e))^3,x,12,5/2*a^3*(d*x+c)^(1+m)/d/(1+m)-15/8*a^3*exp(I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-15/8*a^3*(d*x+c)^m*GAMMA(1+m,I*f*(d*x+c)/d)/exp(I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+3*I*2^(-3-m)*a^3*exp(2*I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-2*I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-3*I*2^(-3-m)*a^3*(d*x+c)^m*GAMMA(1+m,2*I*f*(d*x+c)/d)/exp(2*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+1/8*3^(-1-m)*a^3*exp(3*I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-3*I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)+1/8*3^(-1-m)*a^3*(d*x+c)^m*GAMMA(1+m,3*I*f*(d*x+c)/d)/exp(3*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m*(a+a*sin(f*x+e))^2,x,9,3/2*a^2*(d*x+c)^(1+m)/d/(1+m)-a^2*exp(I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-a^2*(d*x+c)^m*GAMMA(1+m,I*f*(d*x+c)/d)/exp(I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+I*2^(-3-m)*a^2*exp(2*I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-2*I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-I*2^(-3-m)*a^2*(d*x+c)^m*GAMMA(1+m,2*I*f*(d*x+c)/d)/exp(2*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m*(a+a*sin(f*x+e)),x,5,a*(d*x+c)^(1+m)/d/(1+m)-1/2*a*exp(I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-1/2*a*(d*x+c)^m*GAMMA(1+m,I*f*(d*x+c)/d)/exp(I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m/(a+a*sin(f*x+e)),x,0,Defer(Int)((d*x+c)^m/(a+a*sin(f*x+e)),x),0],
[(d*x+c)^m/(a+a*sin(f*x+e))^2,x,0,Defer(Int)((d*x+c)^m/(a+a*sin(f*x+e))^2,x),0],
[(d*x+c)^3*(a+b*sin(f*x+e)),x,6,1/4*a*(d*x+c)^4/d+6*b*d^2*(d*x+c)*cos(f*x+e)/f^3-b*(d*x+c)^3*cos(f*x+e)/f-6*b*d^3*sin(f*x+e)/f^4+3*b*d*(d*x+c)^2*sin(f*x+e)/f^2,1],
[(d*x+c)^2*(a+b*sin(f*x+e)),x,5,1/3*a*(d*x+c)^3/d+2*b*d^2*cos(f*x+e)/f^3-b*(d*x+c)^2*cos(f*x+e)/f+2*b*d*(d*x+c)*sin(f*x+e)/f^2,1],
[(d*x+c)*(a+b*sin(f*x+e)),x,4,1/2*a*(d*x+c)^2/d-b*(d*x+c)*cos(f*x+e)/f+b*d*sin(f*x+e)/f^2,1],
[(a+b*sin(f*x+e))/(d*x+c),x,5,a*ln(d*x+c)/d+b*Ci(c*f/d+f*x)*sin(e-c*f/d)/d+b*cos(e-c*f/d)*Si(c*f/d+f*x)/d,1],
[(a+b*sin(f*x+e))/(d*x+c)^2,x,6,-a/d/(d*x+c)+b*f*cos(e-c*f/d)*Ci(c*f/d+f*x)/d^2-b*sin(f*x+e)/d/(d*x+c)-b*f*sin(e-c*f/d)*Si(c*f/d+f*x)/d^2,1],
[(a+b*sin(f*x+e))/(d*x+c)^3,x,7,-1/2*a/d/(d*x+c)^2-1/2*b*f*cos(f*x+e)/d^2/(d*x+c)-1/2*b*f^2*Ci(c*f/d+f*x)*sin(e-c*f/d)/d^3-1/2*b*sin(f*x+e)/d/(d*x+c)^2-1/2*b*f^2*cos(e-c*f/d)*Si(c*f/d+f*x)/d^3,1],
[(d*x+c)^3*(a+b*sin(f*x+e))^2,x,10,-3/8*b^2*d*(d*x+c)^2/f^2+1/4*a^2*(d*x+c)^4/d+1/8*b^2*(d*x+c)^4/d+12*a*b*d^2*(d*x+c)*cos(f*x+e)/f^3-2*a*b*(d*x+c)^3*cos(f*x+e)/f-12*a*b*d^3*sin(f*x+e)/f^4+6*a*b*d*(d*x+c)^2*sin(f*x+e)/f^2+3/4*b^2*d^2*(d*x+c)*cos(f*x+e)*sin(f*x+e)/f^3-1/2*b^2*(d*x+c)^3*cos(f*x+e)*sin(f*x+e)/f-3/8*b^2*d^3*sin(f*x+e)^2/f^4+3/4*b^2*d*(d*x+c)^2*sin(f*x+e)^2/f^2,1],
[(d*x+c)^2*(a+b*sin(f*x+e))^2,x,9,-1/4*b^2*d^2*x/f^2+1/3*a^2*(d*x+c)^3/d+1/6*b^2*(d*x+c)^3/d+4*a*b*d^2*cos(f*x+e)/f^3-2*a*b*(d*x+c)^2*cos(f*x+e)/f+4*a*b*d*(d*x+c)*sin(f*x+e)/f^2+1/4*b^2*d^2*cos(f*x+e)*sin(f*x+e)/f^3-1/2*b^2*(d*x+c)^2*cos(f*x+e)*sin(f*x+e)/f+1/2*b^2*d*(d*x+c)*sin(f*x+e)^2/f^2,1],
[(d*x+c)*(a+b*sin(f*x+e))^2,x,6,1/2*a^2*(d*x+c)^2/d+1/4*b^2*(d*x+c)^2/d-2*a*b*(d*x+c)*cos(f*x+e)/f+2*a*b*d*sin(f*x+e)/f^2-1/2*b^2*(d*x+c)*cos(f*x+e)*sin(f*x+e)/f+1/4*b^2*d*sin(f*x+e)^2/f^2,1],
[(a+b*sin(f*x+e))^2/(d*x+c),x,10,-1/2*b^2*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/d+a^2*ln(d*x+c)/d+1/2*b^2*ln(d*x+c)/d+2*a*b*Ci(c*f/d+f*x)*sin(e-c*f/d)/d+2*a*b*cos(e-c*f/d)*Si(c*f/d+f*x)/d+1/2*b^2*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/d,1],
[(a+b*sin(f*x+e))^2/(d*x+c)^2,x,11,-a^2/d/(d*x+c)+2*a*b*f*cos(e-c*f/d)*Ci(c*f/d+f*x)/d^2+b^2*f*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/d^2-2*a*b*sin(f*x+e)/d/(d*x+c)-b^2*sin(f*x+e)^2/d/(d*x+c)-2*a*b*f*sin(e-c*f/d)*Si(c*f/d+f*x)/d^2+b^2*f*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/d^2,1],
[(a+b*sin(f*x+e))^2/(d*x+c)^3,x,14,-1/2*a^2/d/(d*x+c)^2-a*b*f*cos(f*x+e)/d^2/(d*x+c)+b^2*f^2*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/d^3-a*b*f^2*Ci(c*f/d+f*x)*sin(e-c*f/d)/d^3-a*b*sin(f*x+e)/d/(d*x+c)^2-b^2*f*cos(f*x+e)*sin(f*x+e)/d^2/(d*x+c)-1/2*b^2*sin(f*x+e)^2/d/(d*x+c)^2-a*b*f^2*cos(e-c*f/d)*Si(c*f/d+f*x)/d^3-b^2*f^2*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/d^3,1],
[(d*x+c)^3/(a+b*sin(f*x+e)),x,12,-I*(d*x+c)^3*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f+I*(d*x+c)^3*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f-3*d*(d*x+c)^2*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^2+3*d*(d*x+c)^2*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^2-6*I*d^2*(d*x+c)*polylog(3,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^3+6*I*d^2*(d*x+c)*polylog(3,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^3+6*d^3*polylog(4,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^4-6*d^3*polylog(4,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^4,1],
[(d*x+c)^2/(a+b*sin(f*x+e)),x,10,-I*(d*x+c)^2*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f+I*(d*x+c)^2*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f-2*d*(d*x+c)*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^2+2*d*(d*x+c)*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^2-2*I*d^2*polylog(3,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^3+2*I*d^2*polylog(3,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^3,1],
[(d*x+c)/(a+b*sin(f*x+e)),x,8,-I*(d*x+c)*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f+I*(d*x+c)*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f-d*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^2+d*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/sqrt(a^2-b^2)/f^2,1],
[1/(d*x+c)/(a+b*sin(f*x+e)),x,0,Defer(Int)(1/(d*x+c)/(a+b*sin(f*x+e)),x),0],
[1/(d*x+c)^2/(a+b*sin(f*x+e)),x,0,Defer(Int)(1/(d*x+c)^2/(a+b*sin(f*x+e)),x),0],
[(d*x+c)^3/(a+b*sin(f*x+e))^2,x,22,6*I*d^2*(d*x+c)*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/f^3-3*d*(d*x+c)^2*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/f^2+6*I*a*d^2*(d*x+c)*polylog(3,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^3-3*d*(d*x+c)^2*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/f^2-I*a*(d*x+c)^3*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f+I*(d*x+c)^3/(a^2-b^2)/f-3*a*d*(d*x+c)^2*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^2+6*I*d^2*(d*x+c)*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/f^3+3*a*d*(d*x+c)^2*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^2-6*d^3*polylog(3,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/f^4-6*I*a*d^2*(d*x+c)*polylog(3,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^3-6*d^3*polylog(3,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/f^4+I*a*(d*x+c)^3*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f+6*a*d^3*polylog(4,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^4-6*a*d^3*polylog(4,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^4+b*(d*x+c)^3*cos(f*x+e)/(a^2-b^2)/f/(a+b*sin(f*x+e)),1],
[(d*x+c)^2/(a+b*sin(f*x+e))^2,x,18,I*(d*x+c)^2/(a^2-b^2)/f-2*d*(d*x+c)*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/f^2-I*a*(d*x+c)^2*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f-2*d*(d*x+c)*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/f^2+I*a*(d*x+c)^2*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f+2*I*d^2*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/f^3-2*a*d*(d*x+c)*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^2+2*I*d^2*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/f^3+2*a*d*(d*x+c)*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^2-2*I*a*d^2*polylog(3,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^3+2*I*a*d^2*polylog(3,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^3+b*(d*x+c)^2*cos(f*x+e)/(a^2-b^2)/f/(a+b*sin(f*x+e)),1],
[(d*x+c)/(a+b*sin(f*x+e))^2,x,11,-I*a*(d*x+c)*ln(1-I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f+I*a*(d*x+c)*ln(1-I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f-d*ln(a+b*sin(f*x+e))/(a^2-b^2)/f^2-a*d*polylog(2,I*b*exp(I*(f*x+e))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^2+a*d*polylog(2,I*b*exp(I*(f*x+e))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/f^2+b*(d*x+c)*cos(f*x+e)/(a^2-b^2)/f/(a+b*sin(f*x+e)),1],
[1/(d*x+c)/(a+b*sin(f*x+e))^2,x,0,Defer(Int)(1/(d*x+c)/(a+b*sin(f*x+e))^2,x),0],
[1/(d*x+c)^2/(a+b*sin(f*x+e))^2,x,0,Defer(Int)(1/(d*x+c)^2/(a+b*sin(f*x+e))^2,x),0],
[(d*x+c)^m*(a+b*sin(f*x+e))^n,x,0,Defer(Int)((d*x+c)^m*(a+b*sin(f*x+e))^n,x),0],
[(d*x+c)^m*(a+b*sin(f*x+e))^3,x,18,a^3*(d*x+c)^(1+m)/d/(1+m)+3/2*a*b^2*(d*x+c)^(1+m)/d/(1+m)-3/2*a^2*b*exp(I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-3/8*b^3*exp(I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-3/2*a^2*b*(d*x+c)^m*GAMMA(1+m,I*f*(d*x+c)/d)/exp(I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)-3/8*b^3*(d*x+c)^m*GAMMA(1+m,I*f*(d*x+c)/d)/exp(I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+3*I*2^(-3-m)*a*b^2*exp(2*I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-2*I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-3*I*2^(-3-m)*a*b^2*(d*x+c)^m*GAMMA(1+m,2*I*f*(d*x+c)/d)/exp(2*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+1/8*3^(-1-m)*b^3*exp(3*I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-3*I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)+1/8*3^(-1-m)*b^3*(d*x+c)^m*GAMMA(1+m,3*I*f*(d*x+c)/d)/exp(3*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m*(a+b*sin(f*x+e))^2,x,10,a^2*(d*x+c)^(1+m)/d/(1+m)+1/2*b^2*(d*x+c)^(1+m)/d/(1+m)-a*b*exp(I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-a*b*(d*x+c)^m*GAMMA(1+m,I*f*(d*x+c)/d)/exp(I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+I*2^(-3-m)*b^2*exp(2*I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-2*I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-I*2^(-3-m)*b^2*(d*x+c)^m*GAMMA(1+m,2*I*f*(d*x+c)/d)/exp(2*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m*(a+b*sin(f*x+e)),x,5,a*(d*x+c)^(1+m)/d/(1+m)-1/2*b*exp(I*(e-c*f/d))*(d*x+c)^m*GAMMA(1+m,-I*f*(d*x+c)/d)/f/((-I*f*(d*x+c)/d)^m)-1/2*b*(d*x+c)^m*GAMMA(1+m,I*f*(d*x+c)/d)/exp(I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m/(a+b*sin(f*x+e)),x,0,Defer(Int)((d*x+c)^m/(a+b*sin(f*x+e)),x),0],
[(d*x+c)^m/(a+b*sin(f*x+e))^2,x,0,Defer(Int)((d*x+c)^m/(a+b*sin(f*x+e))^2,x),0],
[(f*x+e)^3*sin(d*x+c)/(a+a*sin(d*x+c)),x,9,I*(f*x+e)^3/a/d+1/4*(f*x+e)^4/a/f+(f*x+e)^3*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-6*f*(f*x+e)^2*ln(1-I*exp(I*(d*x+c)))/a/d^2+12*I*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^3-12*f^3*polylog(3,I*exp(I*(d*x+c)))/a/d^4,1],
[(f*x+e)^2*sin(d*x+c)/(a+a*sin(d*x+c)),x,8,I*(f*x+e)^2/a/d+1/3*(f*x+e)^3/a/f+(f*x+e)^2*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-4*f*(f*x+e)*ln(1-I*exp(I*(d*x+c)))/a/d^2+4*I*f^2*polylog(2,I*exp(I*(d*x+c)))/a/d^3,1],
[(f*x+e)*sin(d*x+c)/(a+a*sin(d*x+c)),x,5,1/2*(f*x+e)^2/a/f+(f*x+e)*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-2*f*ln(sin(1/2*c+1/4*Pi+1/2*d*x))/a/d^2,1],
[sin(d*x+c)/(a+a*sin(d*x+c)),x,2,x/a+cos(d*x+c)/d/(a+a*sin(d*x+c)),1],
[sin(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(sin(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[sin(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(sin(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*sin(d*x+c)^2/(a+a*sin(d*x+c)),x,14,-I*(f*x+e)^3/a/d-1/4*(f*x+e)^4/a/f+6*f^2*(f*x+e)*cos(d*x+c)/a/d^3-(f*x+e)^3*cos(d*x+c)/a/d-(f*x+e)^3*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d+6*f*(f*x+e)^2*ln(1-I*exp(I*(d*x+c)))/a/d^2-12*I*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^3+12*f^3*polylog(3,I*exp(I*(d*x+c)))/a/d^4-6*f^3*sin(d*x+c)/a/d^4+3*f*(f*x+e)^2*sin(d*x+c)/a/d^2,1],
[(f*x+e)^2*sin(d*x+c)^2/(a+a*sin(d*x+c)),x,12,-I*(f*x+e)^2/a/d-1/3*(f*x+e)^3/a/f+2*f^2*cos(d*x+c)/a/d^3-(f*x+e)^2*cos(d*x+c)/a/d-(f*x+e)^2*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d+4*f*(f*x+e)*ln(1-I*exp(I*(d*x+c)))/a/d^2-4*I*f^2*polylog(2,I*exp(I*(d*x+c)))/a/d^3+2*f*(f*x+e)*sin(d*x+c)/a/d^2,1],
[(f*x+e)*sin(d*x+c)^2/(a+a*sin(d*x+c)),x,8,-1/2*(f*x+e)^2/a/f-(f*x+e)*cos(d*x+c)/a/d-(f*x+e)*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d+2*f*ln(sin(1/2*c+1/4*Pi+1/2*d*x))/a/d^2+f*sin(d*x+c)/a/d^2,1],
[sin(d*x+c)^2/(a+a*sin(d*x+c)),x,4,-x/a-cos(d*x+c)/a/d-cos(d*x+c)/a/d/(1+sin(d*x+c)),1],
[sin(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(sin(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[sin(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(sin(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*sin(d*x+c)^3/(a+a*sin(d*x+c)),x,19,-3/8*f*(f*x+e)^2/a/d^2+I*(f*x+e)^3/a/d+3/8*(f*x+e)^4/a/f-6*f^2*(f*x+e)*cos(d*x+c)/a/d^3+(f*x+e)^3*cos(d*x+c)/a/d+(f*x+e)^3*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-6*f*(f*x+e)^2*ln(1-I*exp(I*(d*x+c)))/a/d^2+12*I*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^3-12*f^3*polylog(3,I*exp(I*(d*x+c)))/a/d^4+6*f^3*sin(d*x+c)/a/d^4-3*f*(f*x+e)^2*sin(d*x+c)/a/d^2+3/4*f^2*(f*x+e)*cos(d*x+c)*sin(d*x+c)/a/d^3-1/2*(f*x+e)^3*cos(d*x+c)*sin(d*x+c)/a/d-3/8*f^3*sin(d*x+c)^2/a/d^4+3/4*f*(f*x+e)^2*sin(d*x+c)^2/a/d^2,1],
[(f*x+e)^2*sin(d*x+c)^3/(a+a*sin(d*x+c)),x,17,-1/4*f^2*x/a/d^2+I*(f*x+e)^2/a/d+1/2*(f*x+e)^3/a/f-2*f^2*cos(d*x+c)/a/d^3+(f*x+e)^2*cos(d*x+c)/a/d+(f*x+e)^2*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-4*f*(f*x+e)*ln(1-I*exp(I*(d*x+c)))/a/d^2+4*I*f^2*polylog(2,I*exp(I*(d*x+c)))/a/d^3-2*f*(f*x+e)*sin(d*x+c)/a/d^2+1/4*f^2*cos(d*x+c)*sin(d*x+c)/a/d^3-1/2*(f*x+e)^2*cos(d*x+c)*sin(d*x+c)/a/d+1/2*f*(f*x+e)*sin(d*x+c)^2/a/d^2,1],
[(f*x+e)*sin(d*x+c)^3/(a+a*sin(d*x+c)),x,11,3/4*(f*x+e)^2/a/f+(f*x+e)*cos(d*x+c)/a/d+(f*x+e)*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-2*f*ln(sin(1/2*c+1/4*Pi+1/2*d*x))/a/d^2-f*sin(d*x+c)/a/d^2-1/2*(f*x+e)*cos(d*x+c)*sin(d*x+c)/a/d+1/4*f*sin(d*x+c)^2/a/d^2,1],
[sin(d*x+c)^3/(a+a*sin(d*x+c)),x,2,3/2*x/a+2*cos(d*x+c)/a/d-3/2*cos(d*x+c)*sin(d*x+c)/a/d+cos(d*x+c)*sin(d*x+c)^2/d/(a+a*sin(d*x+c)),1],
[sin(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(sin(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[sin(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(sin(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*csc(d*x+c)/(a+a*sin(d*x+c)),x,17,I*(f*x+e)^3/a/d-2*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a/d+(f*x+e)^3*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-6*f*(f*x+e)^2*ln(1-I*exp(I*(d*x+c)))/a/d^2+3*I*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a/d^2+12*I*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^3-3*I*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a/d^2-6*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a/d^3-12*f^3*polylog(3,I*exp(I*(d*x+c)))/a/d^4+6*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a/d^3-6*I*f^3*polylog(4,-exp(I*(d*x+c)))/a/d^4+6*I*f^3*polylog(4,exp(I*(d*x+c)))/a/d^4,1],
[(f*x+e)^2*csc(d*x+c)/(a+a*sin(d*x+c)),x,14,I*(f*x+e)^2/a/d-2*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d+(f*x+e)^2*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-4*f*(f*x+e)*ln(1-I*exp(I*(d*x+c)))/a/d^2+2*I*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^2+4*I*f^2*polylog(2,I*exp(I*(d*x+c)))/a/d^3-2*I*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^2-2*f^2*polylog(3,-exp(I*(d*x+c)))/a/d^3+2*f^2*polylog(3,exp(I*(d*x+c)))/a/d^3,1],
[(f*x+e)*csc(d*x+c)/(a+a*sin(d*x+c)),x,9,-2*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d+(f*x+e)*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-2*f*ln(sin(1/2*c+1/4*Pi+1/2*d*x))/a/d^2+I*f*polylog(2,-exp(I*(d*x+c)))/a/d^2-I*f*polylog(2,exp(I*(d*x+c)))/a/d^2,1],
[csc(d*x+c)/(a+a*sin(d*x+c)),x,3,-arctanh(cos(d*x+c))/a/d+cos(d*x+c)/d/(a+a*sin(d*x+c)),1],
[csc(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(csc(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[csc(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(csc(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*csc(d*x+c)^2/(a+a*sin(d*x+c)),x,24,3*I*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a/d^2+2*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a/d-(f*x+e)^3*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-(f*x+e)^3*cot(d*x+c)/a/d+6*f*(f*x+e)^2*ln(1-I*exp(I*(d*x+c)))/a/d^2+3*f*(f*x+e)^2*ln(1-exp(2*I*(d*x+c)))/a/d^2-3*I*f^2*(f*x+e)*polylog(2,exp(2*I*(d*x+c)))/a/d^3-6*I*f^3*polylog(4,exp(I*(d*x+c)))/a/d^4+6*I*f^3*polylog(4,-exp(I*(d*x+c)))/a/d^4-2*I*(f*x+e)^3/a/d+6*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a/d^3+12*f^3*polylog(3,I*exp(I*(d*x+c)))/a/d^4-6*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a/d^3+3/2*f^3*polylog(3,exp(2*I*(d*x+c)))/a/d^4-3*I*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a/d^2-12*I*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^3,1],
[(f*x+e)^2*csc(d*x+c)^2/(a+a*sin(d*x+c)),x,20,-2*I*(f*x+e)^2/a/d+2*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d-(f*x+e)^2*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-(f*x+e)^2*cot(d*x+c)/a/d+4*f*(f*x+e)*ln(1-I*exp(I*(d*x+c)))/a/d^2+2*f*(f*x+e)*ln(1-exp(2*I*(d*x+c)))/a/d^2-2*I*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^2-4*I*f^2*polylog(2,I*exp(I*(d*x+c)))/a/d^3+2*I*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^2-I*f^2*polylog(2,exp(2*I*(d*x+c)))/a/d^3+2*f^2*polylog(3,-exp(I*(d*x+c)))/a/d^3-2*f^2*polylog(3,exp(I*(d*x+c)))/a/d^3,1],
[(f*x+e)*csc(d*x+c)^2/(a+a*sin(d*x+c)),x,12,2*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d-(f*x+e)*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d-(f*x+e)*cot(d*x+c)/a/d+2*f*ln(sin(1/2*c+1/4*Pi+1/2*d*x))/a/d^2+f*ln(sin(d*x+c))/a/d^2-I*f*polylog(2,-exp(I*(d*x+c)))/a/d^2+I*f*polylog(2,exp(I*(d*x+c)))/a/d^2,1],
[csc(d*x+c)^2/(a+a*sin(d*x+c)),x,5,arctanh(cos(d*x+c))/a/d-2*cot(d*x+c)/a/d+cot(d*x+c)/d/(a+a*sin(d*x+c)),1],
[csc(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(csc(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[csc(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(csc(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*csc(d*x+c)^3/(a+a*sin(d*x+c)),x,40,-9/2*I*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a/d^2-6*f^2*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d^3-3*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a/d+(f*x+e)^3*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d+(f*x+e)^3*cot(d*x+c)/a/d-3/2*f*(f*x+e)^2*csc(d*x+c)/a/d^2-1/2*(f*x+e)^3*cot(d*x+c)*csc(d*x+c)/a/d-6*f*(f*x+e)^2*ln(1-I*exp(I*(d*x+c)))/a/d^2-3*f*(f*x+e)^2*ln(1-exp(2*I*(d*x+c)))/a/d^2-3*I*f^3*polylog(2,exp(I*(d*x+c)))/a/d^4+3*I*f^3*polylog(2,-exp(I*(d*x+c)))/a/d^4+2*I*(f*x+e)^3/a/d+12*I*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^3+3*I*f^2*(f*x+e)*polylog(2,exp(2*I*(d*x+c)))/a/d^3+9*I*f^3*polylog(4,exp(I*(d*x+c)))/a/d^4-9*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a/d^3-12*f^3*polylog(3,I*exp(I*(d*x+c)))/a/d^4+9*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a/d^3-3/2*f^3*polylog(3,exp(2*I*(d*x+c)))/a/d^4-9*I*f^3*polylog(4,-exp(I*(d*x+c)))/a/d^4+9/2*I*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a/d^2,1],
[(f*x+e)^2*csc(d*x+c)^3/(a+a*sin(d*x+c)),x,30,2*I*(f*x+e)^2/a/d-3*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d-f^2*arctanh(cos(d*x+c))/a/d^3+(f*x+e)^2*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d+(f*x+e)^2*cot(d*x+c)/a/d-f*(f*x+e)*csc(d*x+c)/a/d^2-1/2*(f*x+e)^2*cot(d*x+c)*csc(d*x+c)/a/d-4*f*(f*x+e)*ln(1-I*exp(I*(d*x+c)))/a/d^2-2*f*(f*x+e)*ln(1-exp(2*I*(d*x+c)))/a/d^2+3*I*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^2+4*I*f^2*polylog(2,I*exp(I*(d*x+c)))/a/d^3-3*I*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^2+I*f^2*polylog(2,exp(2*I*(d*x+c)))/a/d^3-3*f^2*polylog(3,-exp(I*(d*x+c)))/a/d^3+3*f^2*polylog(3,exp(I*(d*x+c)))/a/d^3,1],
[(f*x+e)*csc(d*x+c)^3/(a+a*sin(d*x+c)),x,19,-3*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d+(f*x+e)*cot(1/2*c+1/4*Pi+1/2*d*x)/a/d+(f*x+e)*cot(d*x+c)/a/d-1/2*f*csc(d*x+c)/a/d^2-1/2*(f*x+e)*cot(d*x+c)*csc(d*x+c)/a/d-2*f*ln(sin(1/2*c+1/4*Pi+1/2*d*x))/a/d^2-f*ln(sin(d*x+c))/a/d^2+3/2*I*f*polylog(2,-exp(I*(d*x+c)))/a/d^2-3/2*I*f*polylog(2,exp(I*(d*x+c)))/a/d^2,1],
[csc(d*x+c)^3/(a+a*sin(d*x+c)),x,6,-3/2*arctanh(cos(d*x+c))/a/d+2*cot(d*x+c)/a/d-3/2*cot(d*x+c)*csc(d*x+c)/a/d+cot(d*x+c)*csc(d*x+c)/d/(a+a*sin(d*x+c)),1],
[csc(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(csc(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[csc(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(csc(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m*sin(d*x+c)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sin(d*x+c)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m*sin(d*x+c)/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sin(d*x+c)/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m*csc(d*x+c)/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*csc(d*x+c)/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m*csc(d*x+c)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*csc(d*x+c)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*sin(d*x+c)/(a+b*sin(d*x+c)),x,14,1/4*(f*x+e)^4/b/f+I*a*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-I*a*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d+3*a*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-3*a*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2+6*I*a*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3-6*I*a*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3-6*a*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^4+6*a*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^4,1],
[(f*x+e)^2*sin(d*x+c)/(a+b*sin(d*x+c)),x,12,1/3*(f*x+e)^3/b/f+I*a*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-I*a*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d+2*a*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-2*a*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2+2*I*a*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3-2*I*a*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3,1],
[(f*x+e)*sin(d*x+c)/(a+b*sin(d*x+c)),x,10,1/2*(f*x+e)^2/b/f+I*a*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-I*a*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d+a*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-a*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2,1],
[sin(d*x+c)/(a+b*sin(d*x+c)),x,4,x/b-2*a*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/b/sqrt(a^2-b^2)/d,1],
[(f*x+e)^3*sin(d*x+c)^2/(a+b*sin(d*x+c)),x,19,-1/4*a*(f*x+e)^4/b^2/f+6*f^2*(f*x+e)*cos(d*x+c)/b/d^3-(f*x+e)^3*cos(d*x+c)/b/d-I*a^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d+I*a^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d-3*a^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^2+3*a^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^2-6*I*a^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^3+6*I*a^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^3+6*a^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^4-6*a^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^4-6*f^3*sin(d*x+c)/b/d^4+3*f*(f*x+e)^2*sin(d*x+c)/b/d^2,1],
[(f*x+e)^2*sin(d*x+c)^2/(a+b*sin(d*x+c)),x,16,-1/3*a*(f*x+e)^3/b^2/f+2*f^2*cos(d*x+c)/b/d^3-(f*x+e)^2*cos(d*x+c)/b/d-I*a^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d+I*a^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d-2*a^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^2+2*a^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^2-2*I*a^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^3+2*I*a^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^3+2*f*(f*x+e)*sin(d*x+c)/b/d^2,1],
[(f*x+e)*sin(d*x+c)^2/(a+b*sin(d*x+c)),x,13,-1/2*a*(f*x+e)^2/b^2/f-(f*x+e)*cos(d*x+c)/b/d-I*a^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d+I*a^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d-a^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^2+a^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/sqrt(a^2-b^2)/d^2+f*sin(d*x+c)/b/d^2,1],
[sin(d*x+c)^2/(a+b*sin(d*x+c)),x,6,-a*x/b^2+2*a^2*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/b^2/sqrt(a^2-b^2)/d-cos(d*x+c)/b/d,1],
[(f*x+e)^3*sin(d*x+c)^3/(a+b*sin(d*x+c)),x,24,-3/8*f*(f*x+e)^2/b/d^2+1/4*a^2*(f*x+e)^4/b^3/f+1/8*(f*x+e)^4/b/f-6*a*f^2*(f*x+e)*cos(d*x+c)/b^2/d^3+a*(f*x+e)^3*cos(d*x+c)/b^2/d-6*I*a^3*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^3+I*a^3*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d+3*a^3*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^2-3*a^3*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^2+6*I*a^3*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^3-I*a^3*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d-6*a^3*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^4+6*a^3*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^4+6*a*f^3*sin(d*x+c)/b^2/d^4-3*a*f*(f*x+e)^2*sin(d*x+c)/b^2/d^2+3/4*f^2*(f*x+e)*cos(d*x+c)*sin(d*x+c)/b/d^3-1/2*(f*x+e)^3*cos(d*x+c)*sin(d*x+c)/b/d-3/8*f^3*sin(d*x+c)^2/b/d^4+3/4*f*(f*x+e)^2*sin(d*x+c)^2/b/d^2,1],
[(f*x+e)^2*sin(d*x+c)^3/(a+b*sin(d*x+c)),x,21,-1/4*f^2*x/b/d^2+1/3*a^2*(f*x+e)^3/b^3/f+1/6*(f*x+e)^3/b/f-2*a*f^2*cos(d*x+c)/b^2/d^3+a*(f*x+e)^2*cos(d*x+c)/b^2/d+I*a^3*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d-I*a^3*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d+2*a^3*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^2-2*a^3*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^2+2*I*a^3*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^3-2*I*a^3*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^3-2*a*f*(f*x+e)*sin(d*x+c)/b^2/d^2+1/4*f^2*cos(d*x+c)*sin(d*x+c)/b/d^3-1/2*(f*x+e)^2*cos(d*x+c)*sin(d*x+c)/b/d+1/2*f*(f*x+e)*sin(d*x+c)^2/b/d^2,1],
[(f*x+e)*sin(d*x+c)^3/(a+b*sin(d*x+c)),x,16,1/2*a^2*(f*x+e)^2/b^3/f+1/4*(f*x+e)^2/b/f+a*(f*x+e)*cos(d*x+c)/b^2/d+I*a^3*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d-I*a^3*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d+a^3*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^2-a^3*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/sqrt(a^2-b^2)/d^2-a*f*sin(d*x+c)/b^2/d^2-1/2*(f*x+e)*cos(d*x+c)*sin(d*x+c)/b/d+1/4*f*sin(d*x+c)^2/b/d^2,1],
[sin(d*x+c)^3/(a+b*sin(d*x+c)),x,6,1/2*(2*a^2+b^2)*x/b^3-2*a^3*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/b^3/sqrt(a^2-b^2)/d+a*cos(d*x+c)/b^2/d-1/2*cos(d*x+c)*sin(d*x+c)/b/d,1],
[(f*x+e)^3*csc(d*x+c)/(a+b*sin(d*x+c)),x,22,-2*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a/d+I*b*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d-I*b*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d+3*I*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a/d^2-3*I*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a/d^2+3*b*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^2-3*b*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^2-6*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a/d^3+6*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a/d^3+6*I*b*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^3-6*I*b*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^3-6*I*f^3*polylog(4,-exp(I*(d*x+c)))/a/d^4+6*I*f^3*polylog(4,exp(I*(d*x+c)))/a/d^4-6*b*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^4+6*b*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^4,1],
[(f*x+e)^2*csc(d*x+c)/(a+b*sin(d*x+c)),x,18,-2*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d+I*b*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d-I*b*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d+2*I*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^2-2*I*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^2+2*b*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^2-2*b*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^2-2*f^2*polylog(3,-exp(I*(d*x+c)))/a/d^3+2*f^2*polylog(3,exp(I*(d*x+c)))/a/d^3+2*I*b*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^3-2*I*b*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^3,1],
[(f*x+e)*csc(d*x+c)/(a+b*sin(d*x+c)),x,14,-2*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d+I*b*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d-I*b*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d+I*f*polylog(2,-exp(I*(d*x+c)))/a/d^2-I*f*polylog(2,exp(I*(d*x+c)))/a/d^2+b*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^2-b*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/sqrt(a^2-b^2)/d^2,1],
[csc(d*x+c)/(a+b*sin(d*x+c)),x,5,-2*b*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/a/sqrt(a^2-b^2)/d-arctanh(cos(d*x+c))/a/d,1],
[(f*x+e)^3*csc(d*x+c)^2/(a+b*sin(d*x+c)),x,29,-3*I*b*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a^2/d^2+2*b*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a^2/d-(f*x+e)^3*cot(d*x+c)/a/d-6*I*b^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^3+6*I*b^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^3+3*f*(f*x+e)^2*ln(1-exp(2*I*(d*x+c)))/a/d^2-I*b^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d-3*I*f^2*(f*x+e)*polylog(2,exp(2*I*(d*x+c)))/a/d^3-3*b^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^2+3*b^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^2+3*I*b*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a^2/d^2+6*b*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a^2/d^3-6*b*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a^2/d^3-I*(f*x+e)^3/a/d+I*b^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d+3/2*f^3*polylog(3,exp(2*I*(d*x+c)))/a/d^4+6*I*b*f^3*polylog(4,-exp(I*(d*x+c)))/a^2/d^4-6*I*b*f^3*polylog(4,exp(I*(d*x+c)))/a^2/d^4+6*b^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^4-6*b^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^4,1],
[(f*x+e)^2*csc(d*x+c)^2/(a+b*sin(d*x+c)),x,24,-I*(f*x+e)^2/a/d+2*b*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a^2/d-(f*x+e)^2*cot(d*x+c)/a/d-I*b^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d+I*b^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d+2*f*(f*x+e)*ln(1-exp(2*I*(d*x+c)))/a/d^2-2*I*b*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a^2/d^2+2*I*b*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a^2/d^2-2*b^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^2+2*b^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^2-I*f^2*polylog(2,exp(2*I*(d*x+c)))/a/d^3+2*b*f^2*polylog(3,-exp(I*(d*x+c)))/a^2/d^3-2*b*f^2*polylog(3,exp(I*(d*x+c)))/a^2/d^3-2*I*b^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^3+2*I*b^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^3,1],
[(f*x+e)*csc(d*x+c)^2/(a+b*sin(d*x+c)),x,17,2*b*(f*x+e)*arctanh(exp(I*(d*x+c)))/a^2/d-(f*x+e)*cot(d*x+c)/a/d-I*b^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d+I*b^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d+f*ln(sin(d*x+c))/a/d^2-I*b*f*polylog(2,-exp(I*(d*x+c)))/a^2/d^2+I*b*f*polylog(2,exp(I*(d*x+c)))/a^2/d^2-b^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^2+b^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/sqrt(a^2-b^2)/d^2,1],
[csc(d*x+c)^2/(a+b*sin(d*x+c)),x,7,2*b^2*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/a^2/sqrt(a^2-b^2)/d+b*arctanh(cos(d*x+c))/a^2/d-cot(d*x+c)/a/d,1],
[(f*x+e)^m*sin(d*x+c)^2/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sin(d*x+c)^2/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m*sin(d*x+c)/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sin(d*x+c)/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m*csc(d*x+c)/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*csc(d*x+c)/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m*csc(d*x+c)^2/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*csc(d*x+c)^2/(a+b*sin(d*x+c)),x),0],
[(f*x+e)*sin(d*x+c)/(a+b*sin(d*x+c))^2,x,21,I*a^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d-I*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-I*a^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+I*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d+a*f*ln(a+b*sin(d*x+c))/b/(a^2-b^2)/d^2+a^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-a^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2+f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-a*(f*x+e)*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c)),1],
[(f*x+e)^2*sin(d*x+c)/(a+b*sin(d*x+c))^2,x,30,-I*a^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+2*a*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2+2*I*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3+I*a^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+2*a*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2-2*I*a^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-2*I*a*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3-2*I*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3+2*a^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2+I*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-2*a^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2+2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-I*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-2*I*a*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3-I*a*(f*x+e)^2/b/(a^2-b^2)/d+2*I*a^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-a*(f*x+e)^2*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c)),1],
[(f*x+e)^3*sin(d*x+c)/(a+b*sin(d*x+c))^2,x,36,I*a^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+3*a*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2-I*a*(f*x+e)^3/b/(a^2-b^2)/d+6*I*a^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3+3*a*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2-6*I*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3-I*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-I*a^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+3*a^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-3*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-6*I*a*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3-3*a^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2+3*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2+6*a*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^4-6*I*a^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3+6*I*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3+6*a*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^4+I*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d-6*I*a*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3-6*a^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4+6*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^4+6*a^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4-6*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^4-a*(f*x+e)^3*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c)),1],
[(f*x+e)*sin(d*x+c)/(a+b*sin(d*x+c))^3,x,48,3/2*I*a^3*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d-3/2*I*a*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d-3/2*I*a^3*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d+3/2*I*a*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+3/2*a^2*f*ln(a+b*sin(d*x+c))/b/(a^2-b^2)^2/d^2-f*ln(a+b*sin(d*x+c))/b/(a^2-b^2)/d^2+3/2*a^3*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^2-3/2*a*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-3/2*a^3*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^2+3/2*a*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-1/2*a*(f*x+e)*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c))^2-1/2*a*f/b/(a^2-b^2)/d^2/(a+b*sin(d*x+c))-3/2*a^2*(f*x+e)*cos(d*x+c)/(a^2-b^2)^2/d/(a+b*sin(d*x+c))+(f*x+e)*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c)),1],
[(f*x+e)^2*sin(d*x+c)/(a+b*sin(d*x+c))^3,x,73,-2*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2+2*I*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3-1/2*a*(f*x+e)^2*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c))^2-3/2*a^2*(f*x+e)^2*cos(d*x+c)/(a^2-b^2)^2/d/(a+b*sin(d*x+c))+3/2*I*a*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+3*a^2*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^2-3/2*I*a^3*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d+3/2*I*a^3*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d+3*a^2*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^2-3/2*I*a*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d-3*I*a^3*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^3+3*I*a*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-3*I*a*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3+3*I*a^3*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^3-3*I*a^2*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^3-3*a^3*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^2+3*a*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-3*I*a^2*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^3+3*a^3*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^2-3*a*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-a*f*(f*x+e)/b/(a^2-b^2)/d^2/(a+b*sin(d*x+c))-3/2*I*a^2*(f*x+e)^2/b/(a^2-b^2)^2/d+I*(f*x+e)^2/b/(a^2-b^2)/d+(f*x+e)^2*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c))+2*I*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3+2*a*f^2*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/b/(a^2-b^2)^(3/2)/d^3-2*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2,1],
[(f*x+e)^3*sin(d*x+c)/(a+b*sin(d*x+c))^3,x,92,3*I*a*f^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-3*I*a*f^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-9*I*a^3*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^3+9*I*a*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-9*I*a*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3+9*I*a^3*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^3-9*I*a^2*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^3-9*I*a^2*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^3+3/2*I*a*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d+9/2*a^2*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^2-3/2*I*a^3*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d+6*I*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3+9/2*a^3*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^2-9/2*a*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-3/2*a*f*(f*x+e)^2/b/(a^2-b^2)/d^2/(a+b*sin(d*x+c))+6*I*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3-9/2*a^3*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^2+9/2*a*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2+3/2*I*a^3*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d+9/2*a^2*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^2-3/2*I*a*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d-3/2*I*a^2*(f*x+e)^3/b/(a^2-b^2)^2/d-3*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2-3*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^2+9*a^3*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^4-9*a*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4-9*a^3*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(5/2)/d^4+9*a*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4+9*a^2*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^4+9*a^2*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^2/d^4+3*a*f^3*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4-3*a*f^3*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4-1/2*a*(f*x+e)^3*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c))^2-3/2*a^2*(f*x+e)^3*cos(d*x+c)/(a^2-b^2)^2/d/(a+b*sin(d*x+c))-6*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^4-6*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^4+(f*x+e)^3*cos(d*x+c)/(a^2-b^2)/d/(a+b*sin(d*x+c))+I*(f*x+e)^3/b/(a^2-b^2)/d,1],
[(f*x+e)^3*cos(d*x+c)/(a+a*sin(d*x+c)),x,6,-1/4*I*(f*x+e)^4/a/f+2*(f*x+e)^3*ln(1-I*exp(I*(d*x+c)))/a/d-6*I*f*(f*x+e)^2*polylog(2,I*exp(I*(d*x+c)))/a/d^2+12*f^2*(f*x+e)*polylog(3,I*exp(I*(d*x+c)))/a/d^3+12*I*f^3*polylog(4,I*exp(I*(d*x+c)))/a/d^4,1],
[(f*x+e)^2*cos(d*x+c)/(a+a*sin(d*x+c)),x,5,-1/3*I*(f*x+e)^3/a/f+2*(f*x+e)^2*ln(1-I*exp(I*(d*x+c)))/a/d-4*I*f*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^2+4*f^2*polylog(3,I*exp(I*(d*x+c)))/a/d^3,1],
[(f*x+e)*cos(d*x+c)/(a+a*sin(d*x+c)),x,4,-1/2*I*(f*x+e)^2/a/f+2*(f*x+e)*ln(1-I*exp(I*(d*x+c)))/a/d-2*I*f*polylog(2,I*exp(I*(d*x+c)))/a/d^2,1],
[cos(d*x+c)/(a+a*sin(d*x+c)),x,2,ln(1+sin(d*x+c))/a/d,1],
[cos(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(cos(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[cos(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(cos(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*cos(d*x+c)^2/(a+a*sin(d*x+c)),x,6,1/4*(f*x+e)^4/a/f-6*f^2*(f*x+e)*cos(d*x+c)/a/d^3+(f*x+e)^3*cos(d*x+c)/a/d+6*f^3*sin(d*x+c)/a/d^4-3*f*(f*x+e)^2*sin(d*x+c)/a/d^2,1],
[(f*x+e)^2*cos(d*x+c)^2/(a+a*sin(d*x+c)),x,5,1/3*(f*x+e)^3/a/f-2*f^2*cos(d*x+c)/a/d^3+(f*x+e)^2*cos(d*x+c)/a/d-2*f*(f*x+e)*sin(d*x+c)/a/d^2,1],
[(f*x+e)*cos(d*x+c)^2/(a+a*sin(d*x+c)),x,4,1/2*(f*x+e)^2/a/f+(f*x+e)*cos(d*x+c)/a/d-f*sin(d*x+c)/a/d^2,1],
[cos(d*x+c)^2/(a+a*sin(d*x+c)),x,2,x/a+cos(d*x+c)/a/d,1],
[cos(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x,5,ln(f*x+e)/a/f-Ci(d*e/f+d*x)*sin(c-d*e/f)/a/f-cos(c-d*e/f)*Si(d*e/f+d*x)/a/f,1],
[cos(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x,6,-1/a/f/(f*x+e)-d*cos(c-d*e/f)*Ci(d*e/f+d*x)/a/f^2+sin(d*x+c)/a/f/(f*x+e)+d*sin(c-d*e/f)*Si(d*e/f+d*x)/a/f^2,1],
[(f*x+e)^3*cos(d*x+c)^3/(a+a*sin(d*x+c)),x,10,-3/8*f^3*x/a/d^3+1/4*(f*x+e)^3/a/d-6*f^3*cos(d*x+c)/a/d^4+3*f*(f*x+e)^2*cos(d*x+c)/a/d^2-6*f^2*(f*x+e)*sin(d*x+c)/a/d^3+(f*x+e)^3*sin(d*x+c)/a/d+3/8*f^3*cos(d*x+c)*sin(d*x+c)/a/d^4-3/4*f*(f*x+e)^2*cos(d*x+c)*sin(d*x+c)/a/d^2+3/4*f^2*(f*x+e)*sin(d*x+c)^2/a/d^3-1/2*(f*x+e)^3*sin(d*x+c)^2/a/d,1],
[(f*x+e)^2*cos(d*x+c)^3/(a+a*sin(d*x+c)),x,7,1/4*(f*x+e)^2/a/d+2*f*(f*x+e)*cos(d*x+c)/a/d^2-2*f^2*sin(d*x+c)/a/d^3+(f*x+e)^2*sin(d*x+c)/a/d-1/2*f*(f*x+e)*cos(d*x+c)*sin(d*x+c)/a/d^2+1/4*f^2*sin(d*x+c)^2/a/d^3-1/2*(f*x+e)^2*sin(d*x+c)^2/a/d,1],
[(f*x+e)*cos(d*x+c)^3/(a+a*sin(d*x+c)),x,6,1/4*f*x/a/d+f*cos(d*x+c)/a/d^2+(f*x+e)*sin(d*x+c)/a/d-1/4*f*cos(d*x+c)*sin(d*x+c)/a/d^2-1/2*(f*x+e)*sin(d*x+c)^2/a/d,1],
[cos(d*x+c)^3/(a+a*sin(d*x+c)),x,2,-1/2*(a-a*sin(d*x+c))^2/a^3/d,1],
[cos(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x,9,cos(c-d*e/f)*Ci(d*e/f+d*x)/a/f-1/2*Ci(2*d*e/f+2*d*x)*sin(2*c-2*d*e/f)/a/f-sin(c-d*e/f)*Si(d*e/f+d*x)/a/f-1/2*cos(2*c-2*d*e/f)*Si(2*d*e/f+2*d*x)/a/f,1],
[cos(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x,11,-cos(d*x+c)/a/f/(f*x+e)-d*cos(2*c-2*d*e/f)*Ci(2*d*e/f+2*d*x)/a/f^2-d*Ci(d*e/f+d*x)*sin(c-d*e/f)/a/f^2+1/2*sin(2*d*x+2*c)/a/f/(f*x+e)-d*cos(c-d*e/f)*Si(d*e/f+d*x)/a/f^2+d*sin(2*c-2*d*e/f)*Si(2*d*e/f+2*d*x)/a/f^2,1],
[(f*x+e)^3*sec(d*x+c)/(a+a*sin(d*x+c)),x,22,-3/2*I*f*(f*x+e)^2*polylog(2,I*exp(I*(d*x+c)))/a/d^2-3/2*I*f^3*polylog(2,-exp(2*I*(d*x+c)))/a/d^4+3*I*f^3*polylog(2,-I*exp(I*(d*x+c)))/a/d^4+3*f^2*(f*x+e)*ln(1+exp(2*I*(d*x+c)))/a/d^3-3/2*I*f*(f*x+e)^2/a/d^2-6*I*f^2*(f*x+e)*arctan(exp(I*(d*x+c)))/a/d^3-3*I*f^3*polylog(2,I*exp(I*(d*x+c)))/a/d^4+3*I*f^3*polylog(4,I*exp(I*(d*x+c)))/a/d^4+3/2*I*f*(f*x+e)^2*polylog(2,-I*exp(I*(d*x+c)))/a/d^2-3*f^2*(f*x+e)*polylog(3,-I*exp(I*(d*x+c)))/a/d^3+3*f^2*(f*x+e)*polylog(3,I*exp(I*(d*x+c)))/a/d^3-3*I*f^3*polylog(4,-I*exp(I*(d*x+c)))/a/d^4-I*(f*x+e)^3*arctan(exp(I*(d*x+c)))/a/d-3/2*f*(f*x+e)^2*sec(d*x+c)/a/d^2-1/2*(f*x+e)^3*sec(d*x+c)^2/a/d+3/2*f*(f*x+e)^2*tan(d*x+c)/a/d^2+1/2*(f*x+e)^3*sec(d*x+c)*tan(d*x+c)/a/d,1],
[(f*x+e)^2*sec(d*x+c)/(a+a*sin(d*x+c)),x,13,-I*(f*x+e)^2*arctan(exp(I*(d*x+c)))/a/d+f^2*arctanh(sin(d*x+c))/a/d^3+f^2*ln(cos(d*x+c))/a/d^3+I*f*(f*x+e)*polylog(2,-I*exp(I*(d*x+c)))/a/d^2-I*f*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^2-f^2*polylog(3,-I*exp(I*(d*x+c)))/a/d^3+f^2*polylog(3,I*exp(I*(d*x+c)))/a/d^3-f*(f*x+e)*sec(d*x+c)/a/d^2-1/2*(f*x+e)^2*sec(d*x+c)^2/a/d+f*(f*x+e)*tan(d*x+c)/a/d^2+1/2*(f*x+e)^2*sec(d*x+c)*tan(d*x+c)/a/d,1],
[(f*x+e)*sec(d*x+c)/(a+a*sin(d*x+c)),x,10,-I*(f*x+e)*arctan(exp(I*(d*x+c)))/a/d+1/2*I*f*polylog(2,-I*exp(I*(d*x+c)))/a/d^2-1/2*I*f*polylog(2,I*exp(I*(d*x+c)))/a/d^2-1/2*f*sec(d*x+c)/a/d^2-1/2*(f*x+e)*sec(d*x+c)^2/a/d+1/2*f*tan(d*x+c)/a/d^2+1/2*(f*x+e)*sec(d*x+c)*tan(d*x+c)/a/d,1],
[sec(d*x+c)/(a+a*sin(d*x+c)),x,4,1/2*arctanh(sin(d*x+c))/a/d-1/2/d/(a+a*sin(d*x+c)),1],
[sec(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(sec(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[sec(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(sec(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*sec(d*x+c)^2/(a+a*sin(d*x+c)),x,20,-I*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^3+I*f^2*(f*x+e)*polylog(2,-I*exp(I*(d*x+c)))/a/d^3+f^3*arctanh(sin(d*x+c))/a/d^4+2*f*(f*x+e)^2*ln(1+exp(2*I*(d*x+c)))/a/d^2+f^3*ln(cos(d*x+c))/a/d^4-2/3*I*(f*x+e)^3/a/d-I*f*(f*x+e)^2*arctan(exp(I*(d*x+c)))/a/d^2-2*I*f^2*(f*x+e)*polylog(2,-exp(2*I*(d*x+c)))/a/d^3-f^3*polylog(3,-I*exp(I*(d*x+c)))/a/d^4+f^3*polylog(3,I*exp(I*(d*x+c)))/a/d^4+f^3*polylog(3,-exp(2*I*(d*x+c)))/a/d^4-f^2*(f*x+e)*sec(d*x+c)/a/d^3-1/2*f*(f*x+e)^2*sec(d*x+c)^2/a/d^2-1/3*(f*x+e)^3*sec(d*x+c)^3/a/d+f^2*(f*x+e)*tan(d*x+c)/a/d^3+2/3*(f*x+e)^3*tan(d*x+c)/a/d+1/2*f*(f*x+e)^2*sec(d*x+c)*tan(d*x+c)/a/d^2+1/3*(f*x+e)^3*sec(d*x+c)^2*tan(d*x+c)/a/d,1],
[(f*x+e)^2*sec(d*x+c)^2/(a+a*sin(d*x+c)),x,16,-2/3*I*(f*x+e)^2/a/d-2/3*I*f*(f*x+e)*arctan(exp(I*(d*x+c)))/a/d^2+4/3*f*(f*x+e)*ln(1+exp(2*I*(d*x+c)))/a/d^2+1/3*I*f^2*polylog(2,-I*exp(I*(d*x+c)))/a/d^3-1/3*I*f^2*polylog(2,I*exp(I*(d*x+c)))/a/d^3-2/3*I*f^2*polylog(2,-exp(2*I*(d*x+c)))/a/d^3-1/3*f^2*sec(d*x+c)/a/d^3-1/3*f*(f*x+e)*sec(d*x+c)^2/a/d^2-1/3*(f*x+e)^2*sec(d*x+c)^3/a/d+1/3*f^2*tan(d*x+c)/a/d^3+2/3*(f*x+e)^2*tan(d*x+c)/a/d+1/3*f*(f*x+e)*sec(d*x+c)*tan(d*x+c)/a/d^2+1/3*(f*x+e)^2*sec(d*x+c)^2*tan(d*x+c)/a/d,1],
[(f*x+e)*sec(d*x+c)^2/(a+a*sin(d*x+c)),x,7,1/6*f*arctanh(sin(d*x+c))/a/d^2+2/3*f*ln(cos(d*x+c))/a/d^2-1/6*f*sec(d*x+c)^2/a/d^2-1/3*(f*x+e)*sec(d*x+c)^3/a/d+2/3*(f*x+e)*tan(d*x+c)/a/d+1/6*f*sec(d*x+c)*tan(d*x+c)/a/d^2+1/3*(f*x+e)*sec(d*x+c)^2*tan(d*x+c)/a/d,1],
[sec(d*x+c)^2/(a+a*sin(d*x+c)),x,3,-1/3*sec(d*x+c)/d/(a+a*sin(d*x+c))+2/3*tan(d*x+c)/a/d,1],
[sec(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(sec(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[sec(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(sec(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*sec(d*x+c)^3/(a+a*sin(d*x+c)),x,32,9/8*I*f*(f*x+e)^2*polylog(2,-I*exp(I*(d*x+c)))/a/d^2-9/4*I*f^3*polylog(4,-I*exp(I*(d*x+c)))/a/d^4+5/2*I*f^3*polylog(2,-I*exp(I*(d*x+c)))/a/d^4+f^2*(f*x+e)*ln(1+exp(2*I*(d*x+c)))/a/d^3-1/2*I*f^3*polylog(2,-exp(2*I*(d*x+c)))/a/d^4-9/8*I*f*(f*x+e)^2*polylog(2,I*exp(I*(d*x+c)))/a/d^2-3/4*I*(f*x+e)^3*arctan(exp(I*(d*x+c)))/a/d-5*I*f^2*(f*x+e)*arctan(exp(I*(d*x+c)))/a/d^3-1/2*I*f*(f*x+e)^2/a/d^2-9/4*f^2*(f*x+e)*polylog(3,-I*exp(I*(d*x+c)))/a/d^3+9/4*f^2*(f*x+e)*polylog(3,I*exp(I*(d*x+c)))/a/d^3+9/4*I*f^3*polylog(4,I*exp(I*(d*x+c)))/a/d^4-5/2*I*f^3*polylog(2,I*exp(I*(d*x+c)))/a/d^4-1/4*f^3*sec(d*x+c)/a/d^4-9/8*f*(f*x+e)^2*sec(d*x+c)/a/d^2-1/4*f^2*(f*x+e)*sec(d*x+c)^2/a/d^3-1/4*f*(f*x+e)^2*sec(d*x+c)^3/a/d^2-1/4*(f*x+e)^3*sec(d*x+c)^4/a/d+1/4*f^3*tan(d*x+c)/a/d^4+1/2*f*(f*x+e)^2*tan(d*x+c)/a/d^2+1/4*f^2*(f*x+e)*sec(d*x+c)*tan(d*x+c)/a/d^3+3/8*(f*x+e)^3*sec(d*x+c)*tan(d*x+c)/a/d+1/4*f*(f*x+e)^2*sec(d*x+c)^2*tan(d*x+c)/a/d^2+1/4*(f*x+e)^3*sec(d*x+c)^3*tan(d*x+c)/a/d,1],
[(f*x+e)^2*sec(d*x+c)^3/(a+a*sin(d*x+c)),x,17,-3/4*I*f*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/a/d^2+5/6*f^2*arctanh(sin(d*x+c))/a/d^3+1/3*f^2*ln(cos(d*x+c))/a/d^3-3/4*I*(f*x+e)^2*arctan(exp(I*(d*x+c)))/a/d+3/4*I*f*(f*x+e)*polylog(2,-I*exp(I*(d*x+c)))/a/d^2-3/4*f^2*polylog(3,-I*exp(I*(d*x+c)))/a/d^3+3/4*f^2*polylog(3,I*exp(I*(d*x+c)))/a/d^3-3/4*f*(f*x+e)*sec(d*x+c)/a/d^2-1/12*f^2*sec(d*x+c)^2/a/d^3-1/6*f*(f*x+e)*sec(d*x+c)^3/a/d^2-1/4*(f*x+e)^2*sec(d*x+c)^4/a/d+1/3*f*(f*x+e)*tan(d*x+c)/a/d^2+1/12*f^2*sec(d*x+c)*tan(d*x+c)/a/d^3+3/8*(f*x+e)^2*sec(d*x+c)*tan(d*x+c)/a/d+1/6*f*(f*x+e)*sec(d*x+c)^2*tan(d*x+c)/a/d^2+1/4*(f*x+e)^2*sec(d*x+c)^3*tan(d*x+c)/a/d,1],
[(f*x+e)*sec(d*x+c)^3/(a+a*sin(d*x+c)),x,11,-3/4*I*(f*x+e)*arctan(exp(I*(d*x+c)))/a/d+3/8*I*f*polylog(2,-I*exp(I*(d*x+c)))/a/d^2-3/8*I*f*polylog(2,I*exp(I*(d*x+c)))/a/d^2-3/8*f*sec(d*x+c)/a/d^2-1/12*f*sec(d*x+c)^3/a/d^2-1/4*(f*x+e)*sec(d*x+c)^4/a/d+1/4*f*tan(d*x+c)/a/d^2+3/8*(f*x+e)*sec(d*x+c)*tan(d*x+c)/a/d+1/4*(f*x+e)*sec(d*x+c)^3*tan(d*x+c)/a/d+1/12*f*tan(d*x+c)^3/a/d^2,1],
[sec(d*x+c)^3/(a+a*sin(d*x+c)),x,4,3/8*arctanh(sin(d*x+c))/a/d+1/8/d/(a-a*sin(d*x+c))-1/4/d/(a+a*sin(d*x+c))-1/8*a^3/d/(a^2+a^2*sin(d*x+c))^2,1],
[sec(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x,0,Defer(Int)(sec(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x),0],
[sec(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)(sec(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m*cos(d*x+c)^4/(a+a*sin(d*x+c)),x,14,1/2*(f*x+e)^(1+m)/a/f/(1+m)+1/8*exp(I*(c-d*e/f))*(f*x+e)^m*GAMMA(1+m,-I*d*(f*x+e)/f)/a/d/((-I*d*(f*x+e)/f)^m)+1/8*(f*x+e)^m*GAMMA(1+m,I*d*(f*x+e)/f)/a/d/exp(I*(c-d*e/f))/((I*d*(f*x+e)/f)^m)-I*2^(-3-m)*exp(2*I*(c-d*e/f))*(f*x+e)^m*GAMMA(1+m,-2*I*d*(f*x+e)/f)/a/d/((-I*d*(f*x+e)/f)^m)+I*2^(-3-m)*(f*x+e)^m*GAMMA(1+m,2*I*d*(f*x+e)/f)/a/d/exp(2*I*(c-d*e/f))/((I*d*(f*x+e)/f)^m)+1/8*3^(-1-m)*exp(3*I*(c-d*e/f))*(f*x+e)^m*GAMMA(1+m,-3*I*d*(f*x+e)/f)/a/d/((-I*d*(f*x+e)/f)^m)+1/8*3^(-1-m)*(f*x+e)^m*GAMMA(1+m,3*I*d*(f*x+e)/f)/a/d/exp(3*I*(c-d*e/f))/((I*d*(f*x+e)/f)^m),1],
[(f*x+e)^m*cos(d*x+c)^3/(a+a*sin(d*x+c)),x,9,-1/2*I*exp(I*(c-d*e/f))*(f*x+e)^m*GAMMA(1+m,-I*d*(f*x+e)/f)/a/d/((-I*d*(f*x+e)/f)^m)+1/2*I*(f*x+e)^m*GAMMA(1+m,I*d*(f*x+e)/f)/a/d/exp(I*(c-d*e/f))/((I*d*(f*x+e)/f)^m)+2^(-3-m)*exp(2*I*(c-d*e/f))*(f*x+e)^m*GAMMA(1+m,-2*I*d*(f*x+e)/f)/a/d/((-I*d*(f*x+e)/f)^m)+2^(-3-m)*(f*x+e)^m*GAMMA(1+m,2*I*d*(f*x+e)/f)/a/d/exp(2*I*(c-d*e/f))/((I*d*(f*x+e)/f)^m),1],
[(f*x+e)^m*cos(d*x+c)^2/(a+a*sin(d*x+c)),x,5,(f*x+e)^(1+m)/a/f/(1+m)+1/2*exp(I*(c-d*e/f))*(f*x+e)^m*GAMMA(1+m,-I*d*(f*x+e)/f)/a/d/((-I*d*(f*x+e)/f)^m)+1/2*(f*x+e)^m*GAMMA(1+m,I*d*(f*x+e)/f)/a/d/exp(I*(c-d*e/f))/((I*d*(f*x+e)/f)^m),1],
[(f*x+e)^m*cos(d*x+c)/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*cos(d*x+c)/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m*sec(d*x+c)/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sec(d*x+c)/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^m*sec(d*x+c)^2/(a+a*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sec(d*x+c)^2/(a+a*sin(d*x+c)),x),0],
[(f*x+e)^3*cos(d*x+c)/(a+b*sin(d*x+c)),x,11,-1/4*I*(f*x+e)^4/b/f+(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d+(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d-3*I*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d^2-3*I*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d^2+6*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d^3+6*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d^3+6*I*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d^4+6*I*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d^4,1],
[(f*x+e)^2*cos(d*x+c)/(a+b*sin(d*x+c)),x,9,-1/3*I*(f*x+e)^3/b/f+(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d+(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d-2*I*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d^2-2*I*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d^2+2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d^3+2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d^3,1],
[(f*x+e)*cos(d*x+c)/(a+b*sin(d*x+c)),x,7,-1/2*I*(f*x+e)^2/b/f+(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d+(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d-I*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/d^2-I*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/d^2,1],
[cos(d*x+c)/(a+b*sin(d*x+c)),x,2,ln(a+b*sin(d*x+c))/b/d,1],
[(f*x+e)^3*cos(d*x+c)^2/(a+b*sin(d*x+c)),x,18,1/4*a*(f*x+e)^4/b^2/f-6*f^2*(f*x+e)*cos(d*x+c)/b/d^3+(f*x+e)^3*cos(d*x+c)/b/d+I*sqrt(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d-I*sqrt(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d+3*sqrt(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d^2-3*sqrt(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d^2+6*I*sqrt(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d^3-6*I*sqrt(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d^3-6*sqrt(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d^4+6*sqrt(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d^4+6*f^3*sin(d*x+c)/b/d^4-3*f*(f*x+e)^2*sin(d*x+c)/b/d^2,1],
[(f*x+e)^2*cos(d*x+c)^2/(a+b*sin(d*x+c)),x,15,1/3*a*(f*x+e)^3/b^2/f-2*f^2*cos(d*x+c)/b/d^3+(f*x+e)^2*cos(d*x+c)/b/d+I*sqrt(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d-I*sqrt(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d+2*sqrt(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d^2-2*sqrt(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d^2+2*I*sqrt(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d^3-2*I*sqrt(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d^3-2*f*(f*x+e)*sin(d*x+c)/b/d^2,1],
[(f*x+e)*cos(d*x+c)^2/(a+b*sin(d*x+c)),x,12,1/2*a*(f*x+e)^2/b^2/f+(f*x+e)*cos(d*x+c)/b/d+I*sqrt(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d-I*sqrt(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d+sqrt(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^2/d^2-sqrt(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^2/d^2-f*sin(d*x+c)/b/d^2,1],
[cos(d*x+c)^2/(a+b*sin(d*x+c)),x,5,a*x/b^2-2*sqrt(a^2-b^2)*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/b^2/d+cos(d*x+c)/b/d,1],
[(f*x+e)^3*cos(d*x+c)^3/(a+b*sin(d*x+c)),x,21,-3/8*f^3*x/b/d^3+1/4*(f*x+e)^3/b/d-6*I*(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d^4-6*a*f^3*cos(d*x+c)/b^2/d^4+3*a*f*(f*x+e)^2*cos(d*x+c)/b^2/d^2-(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d-(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d+3*I*(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d^2+3*I*(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d^2-6*(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d^3-6*(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d^3-6*I*(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d^4+1/4*I*(a^2-b^2)*(f*x+e)^4/b^3/f-6*a*f^2*(f*x+e)*sin(d*x+c)/b^2/d^3+a*(f*x+e)^3*sin(d*x+c)/b^2/d+3/8*f^3*cos(d*x+c)*sin(d*x+c)/b/d^4-3/4*f*(f*x+e)^2*cos(d*x+c)*sin(d*x+c)/b/d^2+3/4*f^2*(f*x+e)*sin(d*x+c)^2/b/d^3-1/2*(f*x+e)^3*sin(d*x+c)^2/b/d,1],
[(f*x+e)^2*cos(d*x+c)^3/(a+b*sin(d*x+c)),x,16,1/4*(f*x+e)^2/b/d+1/3*I*(a^2-b^2)*(f*x+e)^3/b^3/f+2*a*f*(f*x+e)*cos(d*x+c)/b^2/d^2-(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d-(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d+2*I*(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d^2+2*I*(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d^2-2*(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d^3-2*(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d^3-2*a*f^2*sin(d*x+c)/b^2/d^3+a*(f*x+e)^2*sin(d*x+c)/b^2/d-1/2*f*(f*x+e)*cos(d*x+c)*sin(d*x+c)/b/d^2+1/4*f^2*sin(d*x+c)^2/b/d^3-1/2*(f*x+e)^2*sin(d*x+c)^2/b/d,1],
[(f*x+e)*cos(d*x+c)^3/(a+b*sin(d*x+c)),x,13,1/4*f*x/b/d+1/2*I*(a^2-b^2)*(f*x+e)^2/b^3/f+a*f*cos(d*x+c)/b^2/d^2-(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d-(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d+I*(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b^3/d^2+I*(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b^3/d^2+a*(f*x+e)*sin(d*x+c)/b^2/d-1/4*f*cos(d*x+c)*sin(d*x+c)/b/d^2-1/2*(f*x+e)*sin(d*x+c)^2/b/d,1],
[cos(d*x+c)^3/(a+b*sin(d*x+c)),x,3,-(a^2-b^2)*ln(a+b*sin(d*x+c))/b^3/d+a*sin(d*x+c)/b^2/d-1/2*sin(d*x+c)^2/b/d,1],
[(f*x+e)^3*sec(d*x+c)/(a+b*sin(d*x+c)),x,29,3*I*a*f*(f*x+e)^2*polylog(2,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^2-b*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d-b*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d+b*(f*x+e)^3*ln(1+exp(2*I*(d*x+c)))/(a^2-b^2)/d-2*I*a*(f*x+e)^3*arctan(exp(I*(d*x+c)))/(a^2-b^2)/d-6*I*b*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d^4-6*I*a*f^3*polylog(4,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^4+3/4*I*b*f^3*polylog(4,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^4+3*I*b*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d^2-6*a*f^2*(f*x+e)*polylog(3,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^3+6*a*f^2*(f*x+e)*polylog(3,I*exp(I*(d*x+c)))/(a^2-b^2)/d^3-6*b*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d^3-6*b*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d^3+3/2*b*f^2*(f*x+e)*polylog(3,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^3-3/2*I*b*f*(f*x+e)^2*polylog(2,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^2+3*I*b*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d^2-6*I*b*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d^4+6*I*a*f^3*polylog(4,I*exp(I*(d*x+c)))/(a^2-b^2)/d^4-3*I*a*f*(f*x+e)^2*polylog(2,I*exp(I*(d*x+c)))/(a^2-b^2)/d^2,1],
[(f*x+e)^2*sec(d*x+c)/(a+b*sin(d*x+c)),x,24,-2*I*a*(f*x+e)^2*arctan(exp(I*(d*x+c)))/(a^2-b^2)/d-b*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d-b*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d+b*(f*x+e)^2*ln(1+exp(2*I*(d*x+c)))/(a^2-b^2)/d+2*I*a*f*(f*x+e)*polylog(2,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^2-2*I*a*f*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/(a^2-b^2)/d^2+2*I*b*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d^2+2*I*b*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d^2-I*b*f*(f*x+e)*polylog(2,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^2-2*a*f^2*polylog(3,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^3+2*a*f^2*polylog(3,I*exp(I*(d*x+c)))/(a^2-b^2)/d^3-2*b*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d^3-2*b*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d^3+1/2*b*f^2*polylog(3,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^3,1],
[(f*x+e)*sec(d*x+c)/(a+b*sin(d*x+c)),x,19,-2*I*a*(f*x+e)*arctan(exp(I*(d*x+c)))/(a^2-b^2)/d-b*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d-b*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d+b*(f*x+e)*ln(1+exp(2*I*(d*x+c)))/(a^2-b^2)/d+I*a*f*polylog(2,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^2-I*a*f*polylog(2,I*exp(I*(d*x+c)))/(a^2-b^2)/d^2+I*b*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)/d^2+I*b*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)/d^2-1/2*I*b*f*polylog(2,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^2,1],
[sec(d*x+c)/(a+b*sin(d*x+c)),x,3,-1/2*ln(1-sin(d*x+c))/(a+b)/d+1/2*ln(1+sin(d*x+c))/(a-b)/d-b*ln(a+b*sin(d*x+c))/(a^2-b^2)/d,1],
[(f*x+e)^3*sec(d*x+c)^2/(a+b*sin(d*x+c)),x,29,-3*I*a*f^2*(f*x+e)*polylog(2,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^3-6*I*b^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^3+6*I*b*f^2*(f*x+e)*polylog(2,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^3-I*b^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d+3*a*f*(f*x+e)^2*ln(1+exp(2*I*(d*x+c)))/(a^2-b^2)/d^2-I*a*(f*x+e)^3/(a^2-b^2)/d-6*I*b*f*(f*x+e)^2*arctan(exp(I*(d*x+c)))/(a^2-b^2)/d^2+3*b^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^2-3*b^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^2+6*I*b^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^3-6*b*f^3*polylog(3,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^4+6*b*f^3*polylog(3,I*exp(I*(d*x+c)))/(a^2-b^2)/d^4-6*I*b*f^2*(f*x+e)*polylog(2,I*exp(I*(d*x+c)))/(a^2-b^2)/d^3+I*b^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d+3/2*a*f^3*polylog(3,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^4-6*b^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^4+6*b^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^4-b*(f*x+e)^3*sec(d*x+c)/(a^2-b^2)/d+a*(f*x+e)^3*tan(d*x+c)/(a^2-b^2)/d,1],
[(f*x+e)^2*sec(d*x+c)^2/(a+b*sin(d*x+c)),x,24,-I*a*(f*x+e)^2/(a^2-b^2)/d-4*I*b*f*(f*x+e)*arctan(exp(I*(d*x+c)))/(a^2-b^2)/d^2+I*b^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d-I*b^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d+2*a*f*(f*x+e)*ln(1+exp(2*I*(d*x+c)))/(a^2-b^2)/d^2+2*I*b*f^2*polylog(2,-I*exp(I*(d*x+c)))/(a^2-b^2)/d^3-2*I*b*f^2*polylog(2,I*exp(I*(d*x+c)))/(a^2-b^2)/d^3+2*b^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^2-2*b^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^2-I*a*f^2*polylog(2,-exp(2*I*(d*x+c)))/(a^2-b^2)/d^3+2*I*b^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^3-2*I*b^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^3-b*(f*x+e)^2*sec(d*x+c)/(a^2-b^2)/d+a*(f*x+e)^2*tan(d*x+c)/(a^2-b^2)/d,1],
[(f*x+e)*sec(d*x+c)^2/(a+b*sin(d*x+c)),x,15,b*f*arctanh(sin(d*x+c))/(a^2-b^2)/d^2+I*b^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d-I*b^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d+a*f*ln(cos(d*x+c))/(a^2-b^2)/d^2+b^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^2-b^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/(a^2-b^2)^(3/2)/d^2-b*(f*x+e)*sec(d*x+c)/(a^2-b^2)/d+a*(f*x+e)*tan(d*x+c)/(a^2-b^2)/d,1],
[sec(d*x+c)^2/(a+b*sin(d*x+c)),x,5,-2*b^2*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/(a^2-b^2)^(3/2)/d-sec(d*x+c)*(b-a*sin(d*x+c))/(a^2-b^2)/d,1],
[(f*x+e)^m*cos(d*x+c)^2/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*cos(d*x+c)^2/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m*cos(d*x+c)/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*cos(d*x+c)/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m*sec(d*x+c)/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sec(d*x+c)/(a+b*sin(d*x+c)),x),0],
[(f*x+e)^m*sec(d*x+c)^2/(a+b*sin(d*x+c)),x,0,Defer(Int)((f*x+e)^m*sec(d*x+c)^2/(a+b*sin(d*x+c)),x),0],
[(f*x+e)*cos(d*x+c)/(a+b*sin(d*x+c))^2,x,4,2*f*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/b/sqrt(a^2-b^2)/d^2-(f*x+e)/b/d/(a+b*sin(d*x+c)),1],
[(f*x+e)^2*cos(d*x+c)/(a+b*sin(d*x+c))^2,x,9,-2*I*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2+2*I*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-2*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3+2*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3-(f*x+e)^2/b/d/(a+b*sin(d*x+c)),1],
[(f*x+e)^3*cos(d*x+c)/(a+b*sin(d*x+c))^2,x,11,-3*I*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2+3*I*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^2-6*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3+6*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^3-6*I*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^4+6*I*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/sqrt(a^2-b^2)/d^4-(f*x+e)^3/b/d/(a+b*sin(d*x+c)),1],
[(f*x+e)*cos(d*x+c)/(a+b*sin(d*x+c))^3,x,6,a*f*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/b/(a^2-b^2)^(3/2)/d^2-1/2*(f*x+e)/b/d/(a+b*sin(d*x+c))^2+1/2*f*cos(d*x+c)/(a^2-b^2)/d^2/(a+b*sin(d*x+c)),1],
[(f*x+e)^2*cos(d*x+c)/(a+b*sin(d*x+c))^3,x,12,-I*a*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2+I*a*f*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-f^2*ln(a+b*sin(d*x+c))/b/(a^2-b^2)/d^3-a*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3+a*f^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-1/2*(f*x+e)^2/b/d/(a+b*sin(d*x+c))^2+f*(f*x+e)*cos(d*x+c)/(a^2-b^2)/d^2/(a+b*sin(d*x+c)),1],
[(f*x+e)^3*cos(d*x+c)/(a+b*sin(d*x+c))^3,x,19,3/2*I*f*(f*x+e)^2/b/(a^2-b^2)/d^2-3*f^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3-3/2*I*a*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2-3*f^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^3+3/2*I*a*f*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^2+3*I*f^3*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)/d^4-3*a*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3+3*I*f^3*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)/d^4+3*a*f^2*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^3-3*I*a*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4+3*I*a*f^3*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/b/(a^2-b^2)^(3/2)/d^4-1/2*(f*x+e)^3/b/d/(a+b*sin(d*x+c))^2+3/2*f*(f*x+e)^2*cos(d*x+c)/(a^2-b^2)/d^2/(a+b*sin(d*x+c)),1],
[(f*x+e)^3*cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x,33,-1/4*(f*x+e)^4/b/f-2*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a/d+3*I*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a/d^2-I*sqrt(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d+6*I*f^3*polylog(4,exp(I*(d*x+c)))/a/d^4+I*sqrt(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d-3*sqrt(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d^2+3*sqrt(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d^2-6*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a/d^3+6*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a/d^3-6*I*sqrt(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d^3+6*I*sqrt(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d^3-6*I*f^3*polylog(4,-exp(I*(d*x+c)))/a/d^4-3*I*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a/d^2+6*sqrt(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d^4-6*sqrt(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d^4,1],
[(f*x+e)^2*cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x,27,-1/3*(f*x+e)^3/b/f-2*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d-I*sqrt(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d+I*sqrt(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d+2*I*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^2-2*I*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^2-2*sqrt(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d^2+2*sqrt(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d^2-2*f^2*polylog(3,-exp(I*(d*x+c)))/a/d^3+2*f^2*polylog(3,exp(I*(d*x+c)))/a/d^3-2*I*sqrt(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d^3+2*I*sqrt(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d^3,1],
[(f*x+e)*cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x,21,-1/2*(f*x+e)^2/b/f-2*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d-I*sqrt(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d+I*sqrt(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d+I*f*polylog(2,-exp(I*(d*x+c)))/a/d^2-I*f*polylog(2,exp(I*(d*x+c)))/a/d^2-sqrt(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b/d^2+sqrt(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b/d^2,1],
[cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x,6,-x/b+2*sqrt(a^2-b^2)*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/a/b/d-arctanh(cos(d*x+c))/a/d,1],
[(f*x+e)^3*cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x,34,-3/2*I*f*(f*x+e)^2*polylog(2,exp(2*I*(d*x+c)))/a/d^2+3/4*I*f^3*polylog(4,exp(2*I*(d*x+c)))/a/d^4+6*f^3*cos(d*x+c)/b/d^4-3*f*(f*x+e)^2*cos(d*x+c)/b/d^2+(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d+(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d+(f*x+e)^3*ln(1-exp(2*I*(d*x+c)))/a/d+6*I*(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d^4+6*I*(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d^4-3*I*(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d^2+6*(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d^3+6*(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d^3+3/2*f^2*(f*x+e)*polylog(3,exp(2*I*(d*x+c)))/a/d^3-3*I*(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d^2-1/4*I*(a^2-b^2)*(f*x+e)^4/a/b^2/f-1/4*I*(f*x+e)^4/a/f+6*f^2*(f*x+e)*sin(d*x+c)/b/d^3-(f*x+e)^3*sin(d*x+c)/b/d,1],
[(f*x+e)^2*cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x,26,-1/3*I*(f*x+e)^3/a/f-1/3*I*(a^2-b^2)*(f*x+e)^3/a/b^2/f-2*f*(f*x+e)*cos(d*x+c)/b/d^2+(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d+(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d+(f*x+e)^2*ln(1-exp(2*I*(d*x+c)))/a/d-2*I*(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d^2-2*I*(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d^2-I*f*(f*x+e)*polylog(2,exp(2*I*(d*x+c)))/a/d^2+2*(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d^3+2*(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d^3+1/2*f^2*polylog(3,exp(2*I*(d*x+c)))/a/d^3+2*f^2*sin(d*x+c)/b/d^3-(f*x+e)^2*sin(d*x+c)/b/d,1],
[(f*x+e)*cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x,22,-1/2*I*(f*x+e)^2/a/f-1/2*I*(a^2-b^2)*(f*x+e)^2/a/b^2/f-f*cos(d*x+c)/b/d^2+(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d+(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d+(f*x+e)*ln(1-exp(2*I*(d*x+c)))/a/d-I*(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^2/d^2-I*(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^2/d^2-1/2*I*f*polylog(2,exp(2*I*(d*x+c)))/a/d^2-(f*x+e)*sin(d*x+c)/b/d,1],
[cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x,4,ln(sin(d*x+c))/a/d+(a^2-b^2)*ln(a+b*sin(d*x+c))/a/b^2/d-sin(d*x+c)/b/d,1],
[(f*x+e)^3*cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x,53,3/8*f*(f*x+e)^2/b/d^2+1/4*(a^2-b^2)*(f*x+e)^4/b^3/f-1/8*(f*x+e)^4/b/f-3*(a^2-b^2)*f*(f*x+e)^2*sin(d*x+c)/a/b^2/d^2-6*(a^2-b^2)*f^2*(f*x+e)*cos(d*x+c)/a/b^2/d^3+6*f^3*sin(d*x+c)/a/d^4+(f*x+e)^3*cos(d*x+c)/a/d+3/8*f^3*cos(d*x+c)^2/b/d^4-6*I*(a^2-b^2)^(3/2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d^3+6*I*(a^2-b^2)^(3/2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d^3-6*I*f^3*polylog(4,-exp(I*(d*x+c)))/a/d^4-6*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a/d^3+6*I*f^3*polylog(4,exp(I*(d*x+c)))/a/d^4+6*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a/d^3-2*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a/d-I*(a^2-b^2)^(3/2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d+I*(a^2-b^2)^(3/2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d-3*(a^2-b^2)^(3/2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d^2+3*(a^2-b^2)^(3/2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d^2-3*f*(f*x+e)^2*sin(d*x+c)/a/d^2-1/2*(f*x+e)^3*cos(d*x+c)*sin(d*x+c)/b/d-6*f^2*(f*x+e)*cos(d*x+c)/a/d^3-3/4*f*(f*x+e)^2*cos(d*x+c)^2/b/d^2+3*I*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a/d^2-3*I*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a/d^2+6*(a^2-b^2)^(3/2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d^4-6*(a^2-b^2)^(3/2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d^4+6*(a^2-b^2)*f^3*sin(d*x+c)/a/b^2/d^4+(a^2-b^2)*(f*x+e)^3*cos(d*x+c)/a/b^2/d+3/4*f^2*(f*x+e)*cos(d*x+c)*sin(d*x+c)/b/d^3,1],
[(f*x+e)^2*cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x,41,1/4*f^2*x/b/d^2-1/6*(f*x+e)^3/b/f+1/3*(a^2-b^2)*(f*x+e)^3/b^3/f-2*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d-2*f^2*cos(d*x+c)/a/d^3-2*(a^2-b^2)*f^2*cos(d*x+c)/a/b^2/d^3+(f*x+e)^2*cos(d*x+c)/a/d+(a^2-b^2)*(f*x+e)^2*cos(d*x+c)/a/b^2/d-1/2*f*(f*x+e)*cos(d*x+c)^2/b/d^2+I*(a^2-b^2)^(3/2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d-2*I*(a^2-b^2)^(3/2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d^3-2*I*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^2+2*I*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^2+2*(a^2-b^2)^(3/2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d^2-2*(a^2-b^2)^(3/2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d^2-2*f^2*polylog(3,-exp(I*(d*x+c)))/a/d^3+2*f^2*polylog(3,exp(I*(d*x+c)))/a/d^3+2*I*(a^2-b^2)^(3/2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d^3-I*(a^2-b^2)^(3/2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d-2*f*(f*x+e)*sin(d*x+c)/a/d^2-2*(a^2-b^2)*f*(f*x+e)*sin(d*x+c)/a/b^2/d^2+1/4*f^2*cos(d*x+c)*sin(d*x+c)/b/d^3-1/2*(f*x+e)^2*cos(d*x+c)*sin(d*x+c)/b/d,1],
[(f*x+e)*cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x,31,-1/4*(f*x+e)^2/b/f+1/2*(a^2-b^2)*(f*x+e)^2/b^3/f-2*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d+(f*x+e)*cos(d*x+c)/a/d+(a^2-b^2)*(f*x+e)*cos(d*x+c)/a/b^2/d-1/4*f*cos(d*x+c)^2/b/d^2+I*(a^2-b^2)^(3/2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d-I*(a^2-b^2)^(3/2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d+I*f*polylog(2,-exp(I*(d*x+c)))/a/d^2-I*f*polylog(2,exp(I*(d*x+c)))/a/d^2+(a^2-b^2)^(3/2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a/b^3/d^2-(a^2-b^2)^(3/2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a/b^3/d^2-f*sin(d*x+c)/a/d^2-(a^2-b^2)*f*sin(d*x+c)/a/b^2/d^2-1/2*(f*x+e)*cos(d*x+c)*sin(d*x+c)/b/d,1],
[cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x,6,1/2*(2*a^2-3*b^2)*x/b^3-2*(a^2-b^2)^(3/2)*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/a/b^3/d-arctanh(cos(d*x+c))/a/d+a*cos(d*x+c)/b^2/d-1/2*cos(d*x+c)*sin(d*x+c)/b/d,1],
[(f*x+e)^3*cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,48,3*I*(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d^2+6*I*f^2*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^3-6*f*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d^2-(f*x+e)^3*csc(d*x+c)/a/d-(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d-(a^2-b^2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d-b*(f*x+e)^3*ln(1-exp(2*I*(d*x+c)))/a^2/d-6*I*(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d^4+1/4*I*(a^2-b^2)*(f*x+e)^4/a^2/b/f+1/4*I*b*(f*x+e)^4/a^2/f+3/2*I*b*f*(f*x+e)^2*polylog(2,exp(2*I*(d*x+c)))/a^2/d^2+3*I*(a^2-b^2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d^2-6*f^3*polylog(3,-exp(I*(d*x+c)))/a/d^4+6*f^3*polylog(3,exp(I*(d*x+c)))/a/d^4-6*(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d^3-6*(a^2-b^2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d^3-3/2*b*f^2*(f*x+e)*polylog(3,exp(2*I*(d*x+c)))/a^2/d^3-6*I*f^2*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^3-6*I*(a^2-b^2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d^4-3/4*I*b*f^3*polylog(4,exp(2*I*(d*x+c)))/a^2/d^4,1],
[(f*x+e)^2*cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,37,1/3*I*b*(f*x+e)^3/a^2/f+1/3*I*(a^2-b^2)*(f*x+e)^3/a^2/b/f-4*f*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d^2-(f*x+e)^2*csc(d*x+c)/a/d-(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d-(a^2-b^2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d-b*(f*x+e)^2*ln(1-exp(2*I*(d*x+c)))/a^2/d+2*I*f^2*polylog(2,-exp(I*(d*x+c)))/a/d^3-2*I*f^2*polylog(2,exp(I*(d*x+c)))/a/d^3+2*I*(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d^2+2*I*(a^2-b^2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d^2+I*b*f*(f*x+e)*polylog(2,exp(2*I*(d*x+c)))/a^2/d^2-2*(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d^3-2*(a^2-b^2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d^3-1/2*b*f^2*polylog(3,exp(2*I*(d*x+c)))/a^2/d^3,1],
[(f*x+e)*cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,28,1/2*I*b*(f*x+e)^2/a^2/f+1/2*I*(a^2-b^2)*(f*x+e)^2/a^2/b/f-f*arctanh(cos(d*x+c))/a/d^2-(f*x+e)*csc(d*x+c)/a/d-(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d-(a^2-b^2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d-b*(f*x+e)*ln(1-exp(2*I*(d*x+c)))/a^2/d+I*(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b/d^2+I*(a^2-b^2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b/d^2+1/2*I*b*f*polylog(2,exp(2*I*(d*x+c)))/a^2/d^2,1],
[cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,4,-csc(d*x+c)/a/d-b*ln(sin(d*x+c))/a^2/d-(1-b^2/a^2)*ln(a+b*sin(d*x+c))/b/d,1],
[(f*x+e)^3*cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,66,3*I*b*f*(f*x+e)^2*polylog(2,exp(I*(d*x+c)))/a^2/d^2+3*(a^2-b^2)*f*(f*x+e)^2*sin(d*x+c)/a^2/b/d^2+6*(a^2-b^2)*f^2*(f*x+e)*cos(d*x+c)/a^2/b/d^3-1/4*(a^2-b^2)*(f*x+e)^4/a/b^2/f-6*(a^2-b^2)^(3/2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d^4+6*(a^2-b^2)^(3/2)*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d^4+3*f*(f*x+e)^2*ln(1-exp(2*I*(d*x+c)))/a/d^2+6*I*(a^2-b^2)^(3/2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d^3-6*I*(a^2-b^2)^(3/2)*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d^3-1/4*(f*x+e)^4/a/f+2*b*(f*x+e)^3*arctanh(exp(I*(d*x+c)))/a^2/d-6*b*f^3*sin(d*x+c)/a^2/d^4-b*(f*x+e)^3*cos(d*x+c)/a^2/d+6*I*b*f^3*polylog(4,-exp(I*(d*x+c)))/a^2/d^4+6*b*f^2*(f*x+e)*polylog(3,-exp(I*(d*x+c)))/a^2/d^3-6*I*b*f^3*polylog(4,exp(I*(d*x+c)))/a^2/d^4-6*b*f^2*(f*x+e)*polylog(3,exp(I*(d*x+c)))/a^2/d^3-3*I*f^2*(f*x+e)*polylog(2,exp(2*I*(d*x+c)))/a/d^3-6*(a^2-b^2)*f^3*sin(d*x+c)/a^2/b/d^4+3*b*f*(f*x+e)^2*sin(d*x+c)/a^2/d^2+6*b*f^2*(f*x+e)*cos(d*x+c)/a^2/d^3-(a^2-b^2)*(f*x+e)^3*cos(d*x+c)/a^2/b/d+3/2*f^3*polylog(3,exp(2*I*(d*x+c)))/a/d^4-(f*x+e)^3*cot(d*x+c)/a/d-I*(f*x+e)^3/a/d-I*(a^2-b^2)^(3/2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d+3*(a^2-b^2)^(3/2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d^2-3*(a^2-b^2)^(3/2)*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d^2-3*I*b*f*(f*x+e)^2*polylog(2,-exp(I*(d*x+c)))/a^2/d^2+I*(a^2-b^2)^(3/2)*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d,1],
[(f*x+e)^2*cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,53,-I*(a^2-b^2)^(3/2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d-1/3*(f*x+e)^3/a/f-1/3*(a^2-b^2)*(f*x+e)^3/a/b^2/f+2*b*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a^2/d+2*b*f^2*cos(d*x+c)/a^2/d^3+2*(a^2-b^2)*f^2*cos(d*x+c)/a^2/b/d^3-b*(f*x+e)^2*cos(d*x+c)/a^2/d-(a^2-b^2)*(f*x+e)^2*cos(d*x+c)/a^2/b/d-(f*x+e)^2*cot(d*x+c)/a/d+2*I*b*f*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a^2/d^2-I*f^2*polylog(2,exp(2*I*(d*x+c)))/a/d^3+2*f*(f*x+e)*ln(1-exp(2*I*(d*x+c)))/a/d^2-I*(f*x+e)^2/a/d-2*I*b*f*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a^2/d^2-2*(a^2-b^2)^(3/2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d^2+2*(a^2-b^2)^(3/2)*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d^2+I*(a^2-b^2)^(3/2)*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d+2*b*f^2*polylog(3,-exp(I*(d*x+c)))/a^2/d^3-2*b*f^2*polylog(3,exp(I*(d*x+c)))/a^2/d^3-2*I*(a^2-b^2)^(3/2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d^3+2*I*(a^2-b^2)^(3/2)*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d^3+2*b*f*(f*x+e)*sin(d*x+c)/a^2/d^2+2*(a^2-b^2)*f*(f*x+e)*sin(d*x+c)/a^2/b/d^2,1],
[(f*x+e)*cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,38,-1/2*(f*x+e)^2/a/f-1/2*(a^2-b^2)*(f*x+e)^2/a/b^2/f+2*b*(f*x+e)*arctanh(exp(I*(d*x+c)))/a^2/d-b*(f*x+e)*cos(d*x+c)/a^2/d-(a^2-b^2)*(f*x+e)*cos(d*x+c)/a^2/b/d-(f*x+e)*cot(d*x+c)/a/d-I*(a^2-b^2)^(3/2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d+I*(a^2-b^2)^(3/2)*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d+f*ln(sin(d*x+c))/a/d^2-I*b*f*polylog(2,-exp(I*(d*x+c)))/a^2/d^2+I*b*f*polylog(2,exp(I*(d*x+c)))/a^2/d^2-(a^2-b^2)^(3/2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^2/d^2+(a^2-b^2)^(3/2)*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^2/d^2+b*f*sin(d*x+c)/a^2/d^2+(a^2-b^2)*f*sin(d*x+c)/a^2/b/d^2,1],
[cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,6,-a*x/b^2+2*(a^2-b^2)^(3/2)*arctan((b+a*tan(1/2*d*x+1/2*c))/sqrt(a^2-b^2))/a^2/b^2/d+b*arctanh(cos(d*x+c))/a^2/d-cos(d*x+c)/b/d-cot(d*x+c)/a/d,1],
[(f*x+e)^3*cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,85,-3*I*(a^2-b^2)^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d^2-3*I*(a^2-b^2)^2*f*(f*x+e)^2*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d^2+3/4*(a^2-b^2)*f*(f*x+e)^2*cos(d*x+c)*sin(d*x+c)/a^2/b/d^2-3*f*(f*x+e)^2*cos(d*x+c)/a/d^2+1/2*b*(f*x+e)^3*sin(d*x+c)^2/a^2/d+6*f^2*(f*x+e)*sin(d*x+c)/a/d^3-6*f*(f*x+e)^2*arctanh(exp(I*(d*x+c)))/a/d^2-b*(f*x+e)^3*ln(1-exp(2*I*(d*x+c)))/a^2/d+6*f^3*polylog(3,exp(I*(d*x+c)))/a/d^4-(f*x+e)^3*sin(d*x+c)/a/d-(f*x+e)^3*csc(d*x+c)/a/d+6*f^3*cos(d*x+c)/a/d^4-6*f^3*polylog(3,-exp(I*(d*x+c)))/a/d^4-1/4*b*(f*x+e)^3/a^2/d+6*(a^2-b^2)*f^2*(f*x+e)*sin(d*x+c)/a/b^2/d^3-3/4*(a^2-b^2)*f^2*(f*x+e)*sin(d*x+c)^2/a^2/b/d^3-3/8*(a^2-b^2)*f^3*cos(d*x+c)*sin(d*x+c)/a^2/b/d^4+3/4*b*f*(f*x+e)^2*cos(d*x+c)*sin(d*x+c)/a^2/d^2-3*(a^2-b^2)*f*(f*x+e)^2*cos(d*x+c)/a/b^2/d^2-3/4*I*b*f^3*polylog(4,exp(2*I*(d*x+c)))/a^2/d^4-3/2*b*f^2*(f*x+e)*polylog(3,exp(2*I*(d*x+c)))/a^2/d^3-6*I*f^2*(f*x+e)*polylog(2,exp(I*(d*x+c)))/a/d^3-(a^2-b^2)*(f*x+e)^3*sin(d*x+c)/a/b^2/d-3/4*b*f^2*(f*x+e)*sin(d*x+c)^2/a^2/d^3+1/2*(a^2-b^2)*(f*x+e)^3*sin(d*x+c)^2/a^2/b/d-3/8*b*f^3*cos(d*x+c)*sin(d*x+c)/a^2/d^4+6*(a^2-b^2)*f^3*cos(d*x+c)/a/b^2/d^4+(a^2-b^2)^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d+(a^2-b^2)^2*(f*x+e)^3*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d+6*I*f^2*(f*x+e)*polylog(2,-exp(I*(d*x+c)))/a/d^3+3/8*(a^2-b^2)*f^3*x/a^2/b/d^3+1/4*I*b*(f*x+e)^4/a^2/f-1/4*I*(a^2-b^2)^2*(f*x+e)^4/a^2/b^3/f+3/8*b*f^3*x/a^2/d^3-1/4*(a^2-b^2)*(f*x+e)^3/a^2/b/d+6*I*(a^2-b^2)^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d^4+6*I*(a^2-b^2)^2*f^3*polylog(4,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d^4+6*(a^2-b^2)^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d^3+6*(a^2-b^2)^2*f^2*(f*x+e)*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d^3+3/2*I*b*f*(f*x+e)^2*polylog(2,exp(2*I*(d*x+c)))/a^2/d^2,1],
[(f*x+e)^2*cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,60,2*f^2*sin(d*x+c)/a/d^3-(f*x+e)^2*sin(d*x+c)/a/d-(f*x+e)^2*csc(d*x+c)/a/d-1/4*b*(f*x+e)^2/a^2/d-2*I*(a^2-b^2)^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d^2-2*I*(a^2-b^2)^2*f*(f*x+e)*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d^2+1/2*(a^2-b^2)*f*(f*x+e)*cos(d*x+c)*sin(d*x+c)/a^2/b/d^2-1/4*(a^2-b^2)*(f*x+e)^2/a^2/b/d+(a^2-b^2)^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d+(a^2-b^2)^2*(f*x+e)^2*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d+2*(a^2-b^2)^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d^3+2*(a^2-b^2)^2*f^2*polylog(3,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d^3+2*(a^2-b^2)*f^2*sin(d*x+c)/a/b^2/d^3-(a^2-b^2)*(f*x+e)^2*sin(d*x+c)/a/b^2/d-1/4*(a^2-b^2)*f^2*sin(d*x+c)^2/a^2/b/d^3+1/2*(a^2-b^2)*(f*x+e)^2*sin(d*x+c)^2/a^2/b/d+1/3*I*b*(f*x+e)^3/a^2/f-1/3*I*(a^2-b^2)^2*(f*x+e)^3/a^2/b^3/f+I*b*f*(f*x+e)*polylog(2,exp(2*I*(d*x+c)))/a^2/d^2-2*(a^2-b^2)*f*(f*x+e)*cos(d*x+c)/a/b^2/d^2+1/2*b*f*(f*x+e)*cos(d*x+c)*sin(d*x+c)/a^2/d^2+2*I*f^2*polylog(2,-exp(I*(d*x+c)))/a/d^3-b*(f*x+e)^2*ln(1-exp(2*I*(d*x+c)))/a^2/d-1/2*b*f^2*polylog(3,exp(2*I*(d*x+c)))/a^2/d^3-2*I*f^2*polylog(2,exp(I*(d*x+c)))/a/d^3-4*f*(f*x+e)*arctanh(exp(I*(d*x+c)))/a/d^2-1/4*b*f^2*sin(d*x+c)^2/a^2/d^3+1/2*b*(f*x+e)^2*sin(d*x+c)^2/a^2/d-2*f*(f*x+e)*cos(d*x+c)/a/d^2,1],
[(f*x+e)*cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,45,-1/4*b*f*x/a^2/d-1/4*(a^2-b^2)*f*x/a^2/b/d+1/2*I*b*f*polylog(2,exp(2*I*(d*x+c)))/a^2/d^2+1/2*I*b*(f*x+e)^2/a^2/f-f*arctanh(cos(d*x+c))/a/d^2-f*cos(d*x+c)/a/d^2-(a^2-b^2)*f*cos(d*x+c)/a/b^2/d^2-(f*x+e)*csc(d*x+c)/a/d+(a^2-b^2)^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d+(a^2-b^2)^2*(f*x+e)*ln(1-I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d-b*(f*x+e)*ln(1-exp(2*I*(d*x+c)))/a^2/d-I*(a^2-b^2)^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a-sqrt(a^2-b^2)))/a^2/b^3/d^2-1/2*I*(a^2-b^2)^2*(f*x+e)^2/a^2/b^3/f-I*(a^2-b^2)^2*f*polylog(2,I*b*exp(I*(d*x+c))/(a+sqrt(a^2-b^2)))/a^2/b^3/d^2-(f*x+e)*sin(d*x+c)/a/d-(a^2-b^2)*(f*x+e)*sin(d*x+c)/a/b^2/d+1/4*b*f*cos(d*x+c)*sin(d*x+c)/a^2/d^2+1/4*(a^2-b^2)*f*cos(d*x+c)*sin(d*x+c)/a^2/b/d^2+1/2*b*(f*x+e)*sin(d*x+c)^2/a^2/d+1/2*(a^2-b^2)*(f*x+e)*sin(d*x+c)^2/a^2/b/d,1],
[cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x,4,-csc(d*x+c)/a/d-b*ln(sin(d*x+c))/a^2/d+(a^2-b^2)^2*ln(a+b*sin(d*x+c))/a^2/b^3/d-a*sin(d*x+c)/b^2/d+1/2*sin(d*x+c)^2/b/d,1]]: