lst:=[[exp(a+I*b*x)*cos(b*x+d)*sin(b*x+d)^3,x,3,-1/8*exp(a-I*d-I*(b*x+d))/b+1/48*exp(a-I*d-3*I*(b*x+d))/b-1/24*exp(a-I*d+3*I*(b*x+d))/b+1/80*exp(a-I*d+5*I*(b*x+d))/b,1],
[exp(a+I*b*x)*cos(b*x+d)*sin(b*x+d)^2,x,4,-1/16*I*exp(a-I*d-2*I*(b*x+d))/b-1/16*I*exp(a-I*d+2*I*(b*x+d))/b+1/32*I*exp(a-I*d+4*I*(b*x+d))/b+1/8*exp(a-I*d)*x,1],
[exp(a+I*b*x)*cos(b*x+d)*sin(b*x+d),x,4,-1/4*exp(a-I*d-I*(b*x+d))/b-1/12*exp(a-I*d+3*I*(b*x+d))/b,1],
[exp(a+I*b*x)*cos(b*x+d),x,3,-1/4*I*exp(a-I*d+2*I*(b*x+d))/b+1/2*exp(a-I*d)*x,1],
[exp(a+I*b*x)*cot(b*x+d),x,3,exp(a-I*d+I*(b*x+d))/b-2*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cot(b*x+d)*csc(b*x+d),x,4,2*I*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))+I*exp(a-I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cot(b*x+d)*csc(b*x+d)^2,x,4,2*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-3*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cos(b*x+d)^2*sin(b*x+d)^3,x,4,-1/64*exp(a-I*d-2*I*(b*x+d))/b-1/32*exp(a-I*d+2*I*(b*x+d))/b+1/128*exp(a-I*d-4*I*(b*x+d))/b-1/128*exp(a-I*d+4*I*(b*x+d))/b+1/192*exp(a-I*d+6*I*(b*x+d))/b+1/16*I*exp(a-I*d)*x,1],
[exp(a+I*b*x)*cos(b*x+d)^2*sin(b*x+d)^2,x,4,-1/8*I*exp(a-I*d+I*(b*x+d))/b-1/48*I*exp(a-I*d-3*I*(b*x+d))/b+1/80*I*exp(a-I*d+5*I*(b*x+d))/b,1],
[exp(a+I*b*x)*cos(b*x+d)^2*sin(b*x+d),x,4,-1/16*exp(a-I*d-2*I*(b*x+d))/b-1/16*exp(a-I*d+2*I*(b*x+d))/b-1/32*exp(a-I*d+4*I*(b*x+d))/b+1/8*I*exp(a-I*d)*x,1],
[exp(a+I*b*x)*cos(b*x+d)^2,x,3,1/4*I*exp(a-I*d-I*(b*x+d))/b-1/2*I*exp(a-I*d+I*(b*x+d))/b-1/12*I*exp(a-I*d+3*I*(b*x+d))/b,1],
[exp(a+I*b*x)*cos(b*x+d)*cot(b*x+d),x,4,1/4*exp(a-I*d+2*I*(b*x+d))/b-1/2*I*exp(a-I*d)*x+exp(a-I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cot(b*x+d)^2,x,4,I*exp(a-I*d+I*(b*x+d))/b+2*I*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))-2*I*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cot(b*x+d)^2*csc(b*x+d),x,4,2*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))^2-4*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))-exp(a-I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cos(b*x+d)^3*sin(b*x+d)^3,x,4,-3/64*exp(a-I*d-I*(b*x+d))/b-1/64*exp(a-I*d+3*I*(b*x+d))/b+1/320*exp(a-I*d-5*I*(b*x+d))/b+1/448*exp(a-I*d+7*I*(b*x+d))/b,1],
[exp(a+I*b*x)*cos(b*x+d)^3*sin(b*x+d)^2,x,4,-1/64*I*exp(a-I*d-2*I*(b*x+d))/b-1/32*I*exp(a-I*d+2*I*(b*x+d))/b-1/128*I*exp(a-I*d-4*I*(b*x+d))/b+1/128*I*exp(a-I*d+4*I*(b*x+d))/b+1/192*I*exp(a-I*d+6*I*(b*x+d))/b+1/16*exp(a-I*d)*x,1],
[exp(a+I*b*x)*cos(b*x+d)^3*sin(b*x+d),x,3,-1/8*exp(a-I*d-I*(b*x+d))/b-1/48*exp(a-I*d-3*I*(b*x+d))/b-1/24*exp(a-I*d+3*I*(b*x+d))/b-1/80*exp(a-I*d+5*I*(b*x+d))/b,1],
[exp(a+I*b*x)*cos(b*x+d)^3,x,4,1/16*I*exp(a-I*d-2*I*(b*x+d))/b-3/16*I*exp(a-I*d+2*I*(b*x+d))/b-1/32*I*exp(a-I*d+4*I*(b*x+d))/b+3/8*exp(a-I*d)*x,1],
[exp(a+I*b*x)*cos(b*x+d)^2*cot(b*x+d),x,4,1/4*exp(a-I*d-I*(b*x+d))/b+exp(a-I*d+I*(b*x+d))/b+1/12*exp(a-I*d+3*I*(b*x+d))/b-2*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cos(b*x+d)*cot(b*x+d)^2,x,4,1/4*I*exp(a-I*d+2*I*(b*x+d))/b+2*I*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))-1/2*exp(a-I*d)*x+I*exp(a-I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*cot(b*x+d)^3,x,6,-exp(a-I*d+I*(b*x+d))/b+2*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-3*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+3*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sin(b*x+d)^2*tan(b*x+d),x,4,1/4*exp(a-I*d-I*(b*x+d))/b-exp(a-I*d+I*(b*x+d))/b+1/12*exp(a-I*d+3*I*(b*x+d))/b+2*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sin(b*x+d)*tan(b*x+d),x,4,1/4*I*exp(a-I*d+2*I*(b*x+d))/b-1/2*exp(a-I*d)*x-I*exp(a-I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*tan(b*x+d),x,3,-exp(a-I*d+I*(b*x+d))/b+2*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sec(b*x+d),x,2,-I*exp(a-I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)*sec(b*x+d),x,5,2*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b-2*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^2*sec(b*x+d),x,5,2*I*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))-2*I*exp(a-I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^3*sec(b*x+d),x,7,2*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-3*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+2*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b-exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sin(b*x+d)*tan(b*x+d)^2,x,4,1/4*exp(a-I*d+2*I*(b*x+d))/b-2*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))-1/2*I*exp(a-I*d)*x-exp(a-I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*tan(b*x+d)^2,x,4,I*exp(a-I*d+I*(b*x+d))/b+2*I*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-2*I*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sec(b*x+d)*tan(b*x+d),x,4,-2*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))-exp(a-I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sec(b*x+d)^2,x,3,2*I*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-2*I*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)*sec(b*x+d)^2,x,5,-2*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))-2*exp(a-I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^2*sec(b*x+d)^2,x,6,4*I*exp(a-I*d+I*(b*x+d))/b/(1-exp(4*I*(b*x+d)))-2*I*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b-2*I*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^3*sec(b*x+d)^2,x,5,2*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))^2-4*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))-2*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))-2*exp(a-I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*tan(b*x+d)^3,x,6,exp(a-I*d+I*(b*x+d))/b-2*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+3*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-3*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sec(b*x+d)*tan(b*x+d)^2,x,4,-2*I*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))^2+4*I*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))+I*exp(a-I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sec(b*x+d)^2*tan(b*x+d),x,4,-2*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+3*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-exp(a-I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sec(b*x+d)^3,x,2,-2*I*exp(a-I*d+4*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2,1],
[exp(a+I*b*x)*csc(b*x+d)*sec(b*x+d)^3,x,7,-2*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+3*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))+exp(a-I*d)*arctan(exp(I*(b*x+d)))/b-2*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^2*sec(b*x+d)^3,x,5,2*I*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))-2*I*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))^2+4*I*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))-2*I*exp(a-I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^3*sec(b*x+d)^3,x,7,8*exp(a-I*d+3*I*(b*x+d))/b/(1-exp(4*I*(b*x+d)))^2-6*exp(a-I*d+3*I*(b*x+d))/b/(1-exp(4*I*(b*x+d)))+3*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b-3*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)*sin(b*x+d)^3,x,4,1/32*exp(2*a-2*I*d-2*I*(b*x+d))/b-1/32*exp(2*a-2*I*d+4*I*(b*x+d))/b+1/96*exp(2*a-2*I*d+6*I*(b*x+d))/b+1/8*I*exp(2*a-2*I*d)*x,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)*sin(b*x+d)^2,x,3,-1/8*I*exp(2*a-2*I*d-I*(b*x+d))/b-1/8*I*exp(2*a-2*I*d+I*(b*x+d))/b-1/24*I*exp(2*a-2*I*d+3*I*(b*x+d))/b+1/40*I*exp(2*a-2*I*d+5*I*(b*x+d))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)*sin(b*x+d),x,5,-1/16*exp(2*a-2*I*d+4*I*(b*x+d))/b+1/4*I*exp(2*a-2*I*d)*x,1],
[exp(2*a+2*I*b*x)*cos(b*x+d),x,2,-1/2*I*exp(2*a-2*I*d+I*(b*x+d))/b-1/6*I*exp(2*a-2*I*d+3*I*(b*x+d))/b,1],
[exp(2*a+2*I*b*x)*cot(b*x+d),x,4,1/2*exp(2*a-2*I*d+2*I*(b*x+d))/b+exp(2*a-2*I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cot(b*x+d)*csc(b*x+d),x,5,2*I*exp(2*a-2*I*d+I*(b*x+d))/b+2*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))-4*I*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cot(b*x+d)*csc(b*x+d)^2,x,4,2*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^2-6*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))-2*exp(2*a-2*I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^2*sin(b*x+d)^3,x,3,-1/32*exp(2*a-2*I*d-I*(b*x+d))/b+1/16*exp(2*a-2*I*d+I*(b*x+d))/b+1/96*exp(2*a-2*I*d-3*I*(b*x+d))/b-1/48*exp(2*a-2*I*d+3*I*(b*x+d))/b-1/160*exp(2*a-2*I*d+5*I*(b*x+d))/b+1/224*exp(2*a-2*I*d+7*I*(b*x+d))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^2*sin(b*x+d)^2,x,4,-1/32*I*exp(2*a-2*I*d-2*I*(b*x+d))/b-1/16*I*exp(2*a-2*I*d+2*I*(b*x+d))/b+1/96*I*exp(2*a-2*I*d+6*I*(b*x+d))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^2*sin(b*x+d),x,3,-1/8*exp(2*a-2*I*d-I*(b*x+d))/b+1/8*exp(2*a-2*I*d+I*(b*x+d))/b-1/24*exp(2*a-2*I*d+3*I*(b*x+d))/b-1/40*exp(2*a-2*I*d+5*I*(b*x+d))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^2,x,4,-1/4*I*exp(2*a-2*I*d+2*I*(b*x+d))/b-1/16*I*exp(2*a-2*I*d+4*I*(b*x+d))/b+1/4*exp(2*a-2*I*d)*x,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)*cot(b*x+d),x,4,3/2*exp(2*a-2*I*d+I*(b*x+d))/b+1/6*exp(2*a-2*I*d+3*I*(b*x+d))/b-2*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cot(b*x+d)^2,x,4,1/2*I*exp(2*a-2*I*d+2*I*(b*x+d))/b+2*I*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))+2*I*exp(2*a-2*I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cot(b*x+d)^2*csc(b*x+d),x,7,-2*exp(2*a-2*I*d+I*(b*x+d))/b+2*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-5*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+5*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^3*sin(b*x+d)^3,x,5,1/256*exp(2*a-2*I*d-4*I*(b*x+d))/b-3/256*exp(2*a-2*I*d+4*I*(b*x+d))/b+1/512*exp(2*a-2*I*d+8*I*(b*x+d))/b+3/64*I*exp(2*a-2*I*d)*x,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^3*sin(b*x+d)^2,x,3,-1/32*I*exp(2*a-2*I*d-I*(b*x+d))/b-1/16*I*exp(2*a-2*I*d+I*(b*x+d))/b-1/96*I*exp(2*a-2*I*d-3*I*(b*x+d))/b-1/48*I*exp(2*a-2*I*d+3*I*(b*x+d))/b+1/160*I*exp(2*a-2*I*d+5*I*(b*x+d))/b+1/224*I*exp(2*a-2*I*d+7*I*(b*x+d))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^3*sin(b*x+d),x,4,-1/32*exp(2*a-2*I*d-2*I*(b*x+d))/b-1/32*exp(2*a-2*I*d+4*I*(b*x+d))/b-1/96*exp(2*a-2*I*d+6*I*(b*x+d))/b+1/8*I*exp(2*a-2*I*d)*x,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^3,x,3,1/8*I*exp(2*a-2*I*d-I*(b*x+d))/b-3/8*I*exp(2*a-2*I*d+I*(b*x+d))/b-1/8*I*exp(2*a-2*I*d+3*I*(b*x+d))/b-1/40*I*exp(2*a-2*I*d+5*I*(b*x+d))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)^2*cot(b*x+d),x,4,1/2*exp(2*a-2*I*d+2*I*(b*x+d))/b+1/16*exp(2*a-2*I*d+4*I*(b*x+d))/b-1/4*I*exp(2*a-2*I*d)*x+exp(2*a-2*I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cos(b*x+d)*cot(b*x+d)^2,x,5,5/2*I*exp(2*a-2*I*d+I*(b*x+d))/b+1/6*I*exp(2*a-2*I*d+3*I*(b*x+d))/b+2*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))-4*I*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*cot(b*x+d)^3,x,4,-1/2*exp(2*a-2*I*d+2*I*(b*x+d))/b+2*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^2-6*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))-3*exp(2*a-2*I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sin(b*x+d)^2*tan(b*x+d),x,4,-1/2*exp(2*a-2*I*d+2*I*(b*x+d))/b+1/16*exp(2*a-2*I*d+4*I*(b*x+d))/b-1/4*I*exp(2*a-2*I*d)*x+exp(2*a-2*I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sin(b*x+d)*tan(b*x+d),x,4,-3/2*I*exp(2*a-2*I*d+I*(b*x+d))/b+1/6*I*exp(2*a-2*I*d+3*I*(b*x+d))/b+2*I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*tan(b*x+d),x,4,-1/2*exp(2*a-2*I*d+2*I*(b*x+d))/b+exp(2*a-2*I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sec(b*x+d),x,3,-2*I*exp(2*a-2*I*d+I*(b*x+d))/b+2*I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)*sec(b*x+d),x,3,exp(2*a-2*I*d)*ln(1-exp(4*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^2*sec(b*x+d),x,6,2*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+2*I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b-4*I*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^3*sec(b*x+d),x,5,2*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^2-6*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))+2*exp(2*a-2*I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sin(b*x+d)*tan(b*x+d)^2,x,5,-5/2*exp(2*a-2*I*d+I*(b*x+d))/b+1/6*exp(2*a-2*I*d+3*I*(b*x+d))/b-2*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))+4*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*tan(b*x+d)^2,x,4,1/2*I*exp(2*a-2*I*d+2*I*(b*x+d))/b-2*I*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))-2*I*exp(2*a-2*I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sec(b*x+d)*tan(b*x+d),x,5,-2*exp(2*a-2*I*d+I*(b*x+d))/b-2*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))+4*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sec(b*x+d)^2,x,4,-2*I*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))-2*I*exp(2*a-2*I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)*sec(b*x+d)^2,x,6,-2*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))+4*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b-2*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^2*sec(b*x+d)^2,x,5,4*I*exp(2*a-2*I*d+2*I*(b*x+d))/b/(1-exp(4*I*(b*x+d)))-4*I*exp(2*a-2*I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^3*sec(b*x+d)^2,x,7,4*exp(2*a-2*I*d+3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2/(1+exp(2*I*(b*x+d)))-exp(2*a-2*I*d+I*(b*x+d))*(5+3*exp(2*I*(b*x+d)))/b/(1-exp(4*I*(b*x+d)))+4*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b+exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*tan(b*x+d)^3,x,4,1/2*exp(2*a-2*I*d+2*I*(b*x+d))/b+2*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))^2-6*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))-3*exp(2*a-2*I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sec(b*x+d)*tan(b*x+d)^2,x,7,2*I*exp(2*a-2*I*d+I*(b*x+d))/b-2*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+5*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-5*I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sec(b*x+d)^2*tan(b*x+d),x,4,2*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))^2-6*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))-2*exp(2*a-2*I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*sec(b*x+d)^3,x,4,2*I*exp(2*a-2*I*d+3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+3*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-3*I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)*sec(b*x+d)^3,x,5,2*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))^2-6*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))-2*exp(2*a-2*I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^2*sec(b*x+d)^3,x,8,2*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+8*I*exp(2*a-2*I*d+3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))/(1+exp(2*I*(b*x+d)))^2+3*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b-4*I*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^3*sec(b*x+d)^3,x,3,8*exp(2*a-2*I*d+8*I*(b*x+d))/b/(1-exp(4*I*(b*x+d)))^2,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^4*sec(b*x+d)^3,x,8,-32/3*I*exp(2*a-2*I*d+5*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^3/(1+exp(2*I*(b*x+d)))^2+4/3*I*exp(2*a-2*I*d+I*(b*x+d))*(5+7*exp(2*I*(b*x+d)))/b/(1-exp(4*I*(b*x+d)))^2-1/3*I*exp(2*a-2*I*d+I*(b*x+d))*(5+21*exp(2*I*(b*x+d)))/b/(1-exp(4*I*(b*x+d)))+I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b-6*I*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^5*sec(b*x+d)^3,x,5,-4*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^4+40/3*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^3-12*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^2-4*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))+2*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))^2-6*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))+2*exp(2*a-2*I*d)*arctanh(exp(2*I*(b*x+d)))/b,1],
[F^(c*(b*x+a))*cos(e*x+d)*sin(e*x+d)^3,x,4,-1/4*F^(c*(b*x+a))*(2*e*cos(2*e*x+2*d)-b*c*ln(F)*sin(2*e*x+2*d))/(4*e^2+b^2*c^2*ln(F)^2)+F^(c*(b*x+a))*(4*e*cos(4*e*x+4*d)-b*c*ln(F)*sin(4*e*x+4*d))/(128*e^2+8*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)*sin(e*x+d)^2,x,4,F^(c*(b*x+a))*(b*c*cos(e*x+d)*ln(F)+e*sin(e*x+d))/(4*e^2+4*b^2*c^2*ln(F)^2)-F^(c*(b*x+a))*(b*c*cos(3*e*x+3*d)*ln(F)+3*e*sin(3*e*x+3*d))/(36*e^2+4*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)*sin(e*x+d),x,3,-1/2*F^(c*(b*x+a))*(2*e*cos(2*e*x+2*d)-b*c*ln(F)*sin(2*e*x+2*d))/(4*e^2+b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d),x,1,F^(c*(b*x+a))*(b*c*cos(e*x+d)*ln(F)+e*sin(e*x+d))/(e^2+b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cot(e*x+d),x,3,I*F^(c*(b*x+a))/b/c/ln(F)-2*I*F^(c*(b*x+a))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/b/c/ln(F),1],
[F^(c*(b*x+a))*cot(e*x+d)*csc(e*x+d),x,3,2*I*exp(I*(e*x+d))*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))-2*b*c*exp(I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 1/2*(e-I*b*c*ln(F))/e],[3/2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*ln(F)/e/(e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*cot(e*x+d)*csc(e*x+d)^2,x,3,2*exp(2*I*(e*x+d))*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))^2-2*b*c*exp(2*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([2, 1-1/2*I*b*c*ln(F)/e],[2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*ln(F)/e/(2*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*cos(e*x+d)^2*sin(e*x+d)^3,x,5,-1/8*F^(c*(b*x+a))*(e*cos(e*x+d)-b*c*ln(F)*sin(e*x+d))/(e^2+b^2*c^2*ln(F)^2)-F^(c*(b*x+a))*(3*e*cos(3*e*x+3*d)-b*c*ln(F)*sin(3*e*x+3*d))/(144*e^2+16*b^2*c^2*ln(F)^2)+F^(c*(b*x+a))*(5*e*cos(5*e*x+5*d)-b*c*ln(F)*sin(5*e*x+5*d))/(400*e^2+16*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)^2*sin(e*x+d)^2,x,4,1/8*F^(c*(b*x+a))/b/c/ln(F)-F^(c*(b*x+a))*(b*c*cos(4*e*x+4*d)*ln(F)+4*e*sin(4*e*x+4*d))/(128*e^2+8*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)^2*sin(e*x+d),x,4,-1/4*F^(c*(b*x+a))*(e*cos(e*x+d)-b*c*ln(F)*sin(e*x+d))/(e^2+b^2*c^2*ln(F)^2)-F^(c*(b*x+a))*(3*e*cos(3*e*x+3*d)-b*c*ln(F)*sin(3*e*x+3*d))/(36*e^2+4*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)^2,x,2,2*e^2*F^(c*(b*x+a))/b/c/ln(F)/(4*e^2+b^2*c^2*ln(F)^2)+F^(c*(b*x+a))*cos(e*x+d)*(b*c*cos(e*x+d)*ln(F)+2*e*sin(e*x+d))/(4*e^2+b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)*cot(e*x+d),x,4,exp(I*(e*x+d))*F^(c*(b*x+a))/(2*e-2*I*b*c*ln(F))-3/2*F^(c*(b*x+a))/exp(I*(e*x+d))/(e+I*b*c*ln(F))+2*F^(c*(b*x+a))*hypergeom([1, 1/2*(-e-I*b*c*ln(F))/e],[1/2*(e-I*b*c*ln(F))/e],exp(2*I*(e*x+d)))/exp(I*(e*x+d))/(e+I*b*c*ln(F)),1],
[F^(c*(b*x+a))*cot(e*x+d)^2,x,4,2*I*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))-2*I*F^(c*(b*x+a))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/e-F^(c*(b*x+a))/b/c/ln(F),1],
[F^(c*(b*x+a))*cot(e*x+d)^2*csc(e*x+d),x,4,2*exp(I*(e*x+d))*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))^2-exp(I*(e*x+d))*F^(c*(b*x+a))*(e-I*b*c*ln(F))/e^2/(1-exp(2*I*(e*x+d)))+exp(I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 1/2*(e-I*b*c*ln(F))/e],[3/2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*(e-b*c*ln(F))*(e+b*c*ln(F))/e^2/(e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*cos(e*x+d)^3*sin(e*x+d)^3,x,4,-3*F^(c*(b*x+a))*(2*e*cos(2*e*x+2*d)-b*c*ln(F)*sin(2*e*x+2*d))/(128*e^2+32*b^2*c^2*ln(F)^2)+F^(c*(b*x+a))*(6*e*cos(6*e*x+6*d)-b*c*ln(F)*sin(6*e*x+6*d))/(1152*e^2+32*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)^3*sin(e*x+d)^2,x,5,F^(c*(b*x+a))*(b*c*cos(e*x+d)*ln(F)+e*sin(e*x+d))/(8*e^2+8*b^2*c^2*ln(F)^2)-F^(c*(b*x+a))*(b*c*cos(3*e*x+3*d)*ln(F)+3*e*sin(3*e*x+3*d))/(144*e^2+16*b^2*c^2*ln(F)^2)-F^(c*(b*x+a))*(b*c*cos(5*e*x+5*d)*ln(F)+5*e*sin(5*e*x+5*d))/(400*e^2+16*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)^3*sin(e*x+d),x,4,-1/4*F^(c*(b*x+a))*(2*e*cos(2*e*x+2*d)-b*c*ln(F)*sin(2*e*x+2*d))/(4*e^2+b^2*c^2*ln(F)^2)-F^(c*(b*x+a))*(4*e*cos(4*e*x+4*d)-b*c*ln(F)*sin(4*e*x+4*d))/(128*e^2+8*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)^3,x,2,6*e^2*F^(c*(b*x+a))*(b*c*cos(e*x+d)*ln(F)+e*sin(e*x+d))/(9*e^4+10*b^2*c^2*e^2*ln(F)^2+b^4*c^4*ln(F)^4)+F^(c*(b*x+a))*cos(e*x+d)^2*(b*c*cos(e*x+d)*ln(F)+3*e*sin(e*x+d))/(9*e^2+b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*cos(e*x+d)^2*cot(e*x+d),x,4,I*F^(c*(b*x+a))/b/c/ln(F)+exp(2*I*(e*x+d))*F^(c*(b*x+a))/(8*e-4*I*b*c*ln(F))-7/4*F^(c*(b*x+a))/exp(2*I*(e*x+d))/(2*e+I*b*c*ln(F))+2*F^(c*(b*x+a))*hypergeom([1, -1-1/2*I*b*c*ln(F)/e],[-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/exp(2*I*(e*x+d))/(2*e+I*b*c*ln(F)),1],
[F^(c*(b*x+a))*cos(e*x+d)*cot(e*x+d)^2,x,5,2*I*F^(c*(b*x+a))/e/exp(I*(e*x+d))/(1-exp(2*I*(e*x+d)))+5/2*F^(c*(b*x+a))/exp(I*(e*x+d))/(I*e-b*c*ln(F))+2*b*c*F^(c*(b*x+a))*hypergeom([1, 1/2*(-e-I*b*c*ln(F))/e],[1/2*(e-I*b*c*ln(F))/e],exp(2*I*(e*x+d)))*ln(F)/e/exp(I*(e*x+d))/(e+I*b*c*ln(F))-exp(I*(e*x+d))*F^(c*(b*x+a))/(2*I*e+2*b*c*ln(F)),1],
[F^(c*(b*x+a))*cot(e*x+d)^3,x,5,2*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))^2-I*F^(c*(b*x+a))/b/c/ln(F)-F^(c*(b*x+a))*(2*e-I*b*c*ln(F))/e^2/(1-exp(2*I*(e*x+d)))+I*F^(c*(b*x+a))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*(2/b/c/ln(F)-b*c*ln(F)/e^2),1],
[F^(c*(b*x+a))*sin(e*x+d)^2*tan(e*x+d),x,4,-I*F^(c*(b*x+a))/b/c/ln(F)+exp(2*I*(e*x+d))*F^(c*(b*x+a))/(8*e-4*I*b*c*ln(F))-7/4*F^(c*(b*x+a))/exp(2*I*(e*x+d))/(2*e+I*b*c*ln(F))+2*F^(c*(b*x+a))*hypergeom([1, -1-1/2*I*b*c*ln(F)/e],[-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/exp(2*I*(e*x+d))/(2*e+I*b*c*ln(F)),1],
[F^(c*(b*x+a))*sin(e*x+d)*tan(e*x+d),x,4,-3/2*F^(c*(b*x+a))/exp(I*(e*x+d))/(I*e-b*c*ln(F))+2*F^(c*(b*x+a))*hypergeom([1, 1/2*(-e-I*b*c*ln(F))/e],[1/2*(e-I*b*c*ln(F))/e],-exp(2*I*(e*x+d)))/exp(I*(e*x+d))/(I*e-b*c*ln(F))-exp(I*(e*x+d))*F^(c*(b*x+a))/(2*I*e+2*b*c*ln(F)),1],
[F^(c*(b*x+a))*tan(e*x+d),x,3,-I*F^(c*(b*x+a))/b/c/ln(F)+2*I*F^(c*(b*x+a))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/b/c/ln(F),1],
[F^(c*(b*x+a))*sec(e*x+d),x,2,2*exp(I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 1/2*(e-I*b*c*ln(F))/e],[3/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/(I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)*sec(e*x+d),x,3,-4*exp(2*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 1/2-1/4*I*b*c*ln(F)/e],[3/2-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))/(2*e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)^2*sec(e*x+d),x,6,2*I*exp(3*I*(e*x+d))*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))-2*b*c*exp(3*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 3/2-1/2*I*b*c*ln(F)/e],[5/2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*ln(F)/e/(3*e-I*b*c*ln(F))-2*exp(3*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 3/2-1/2*I*b*c*ln(F)/e],[5/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/(3*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)^3*sec(e*x+d),x,7,2*exp(4*I*(e*x+d))*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))^2+2*exp(4*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 2-1/2*I*b*c*ln(F)/e],[3-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/(4*e-I*b*c*ln(F))+exp(4*I*(e*x+d))*F^(c*(b*x+a))*(2*e+I*b*c*ln(F))/e^2/(1-exp(2*I*(e*x+d)))-exp(4*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 2-1/2*I*b*c*ln(F)/e],[3-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*(2+b^2*c^2*ln(F)^2/e^2)/(4*e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*sin(e*x+d)*tan(e*x+d)^2,x,5,-2*F^(c*(b*x+a))/e/exp(I*(e*x+d))/(1+exp(2*I*(e*x+d)))-2*b*c*F^(c*(b*x+a))*hypergeom([1, 1/2*(-e-I*b*c*ln(F))/e],[1/2*(e-I*b*c*ln(F))/e],-exp(2*I*(e*x+d)))*ln(F)/e/exp(I*(e*x+d))/(I*e-b*c*ln(F))+exp(I*(e*x+d))*F^(c*(b*x+a))/(2*e-2*I*b*c*ln(F))+5/2*F^(c*(b*x+a))/exp(I*(e*x+d))/(e+I*b*c*ln(F)),1],
[F^(c*(b*x+a))*tan(e*x+d)^2,x,4,2*I*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))-2*I*F^(c*(b*x+a))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/e-F^(c*(b*x+a))/b/c/ln(F),1],
[F^(c*(b*x+a))*sec(e*x+d)*tan(e*x+d),x,3,2*exp(I*(e*x+d))*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))-2*b*c*exp(I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 1/2*(e-I*b*c*ln(F))/e],[3/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*ln(F)/e/(I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sec(e*x+d)^2,x,2,4*exp(2*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([2, 1-1/2*I*b*c*ln(F)/e],[2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/(2*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)*sec(e*x+d)^2,x,6,-2*exp(3*I*(e*x+d))*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))-2*exp(3*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 3/2-1/2*I*b*c*ln(F)/e],[5/2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/(3*e-I*b*c*ln(F))+2*b*c*exp(3*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 3/2-1/2*I*b*c*ln(F)/e],[5/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*ln(F)/e/(3*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)^2*sec(e*x+d)^2,x,3,-16*exp(4*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([2, 1-1/4*I*b*c*ln(F)/e],[2-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))/(4*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)^3*sec(e*x+d)^2,x,7,4*exp(5*I*(e*x+d))*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))^2/(1+exp(2*I*(e*x+d)))-2*b*c*exp(5*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 5/2-1/2*I*b*c*ln(F)/e],[7/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*ln(F)/e/(5*I*e+b*c*ln(F))-exp(5*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 5/2-1/2*I*b*c*ln(F)/e],[7/2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*(3*e^2+b^2*c^2*ln(F)^2)/e^2/(5*e-I*b*c*ln(F))+exp(5*I*(e*x+d))*F^(c*(b*x+a))*(3*e+I*b*c*ln(F)+exp(2*I*(e*x+d))*(e+I*b*c*ln(F)))/e^2/(1-exp(4*I*(e*x+d))),1],
[F^(c*(b*x+a))*tan(e*x+d)^3,x,5,-2*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))^2+I*F^(c*(b*x+a))/b/c/ln(F)+F^(c*(b*x+a))*(2*e-I*b*c*ln(F))/e^2/(1+exp(2*I*(e*x+d)))-I*F^(c*(b*x+a))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*(2/b/c/ln(F)-b*c*ln(F)/e^2),1],
[F^(c*(b*x+a))*sec(e*x+d)*tan(e*x+d)^2,x,4,2*I*exp(I*(e*x+d))*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))^2-exp(I*(e*x+d))*F^(c*(b*x+a))*(I*e+b*c*ln(F))/e^2/(1+exp(2*I*(e*x+d)))-exp(I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 1/2*(e-I*b*c*ln(F))/e],[3/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*(e-b*c*ln(F))*(e+b*c*ln(F))/e^2/(I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sec(e*x+d)^2*tan(e*x+d),x,3,2*exp(2*I*(e*x+d))*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))^2-2*b*c*exp(2*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([2, 1-1/2*I*b*c*ln(F)/e],[2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*ln(F)/e/(2*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sec(e*x+d)^3,x,2,8*exp(3*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([3, 3/2-1/2*I*b*c*ln(F)/e],[5/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/(3*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)*sec(e*x+d)^3,x,7,-2*exp(4*I*(e*x+d))*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))^2-2*exp(4*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 2-1/2*I*b*c*ln(F)/e],[3-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/(4*e-I*b*c*ln(F))-exp(4*I*(e*x+d))*F^(c*(b*x+a))*(2*e+I*b*c*ln(F))/e^2/(1+exp(2*I*(e*x+d)))+exp(4*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 2-1/2*I*b*c*ln(F)/e],[3-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*(2+b^2*c^2*ln(F)^2/e^2)/(4*e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)^2*sec(e*x+d)^3,x,8,-2*I*exp(5*I*(e*x+d))*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))^2+8*I*exp(5*I*(e*x+d))*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))/(1+exp(2*I*(e*x+d)))^2+exp(5*I*(e*x+d))*F^(c*(b*x+a))*(I*e-b*c*ln(F))/e^2/(1+exp(2*I*(e*x+d)))-2*b*c*exp(5*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 5/2-1/2*I*b*c*ln(F)/e],[7/2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*ln(F)/e/(5*e-I*b*c*ln(F))+exp(5*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([1, 5/2-1/2*I*b*c*ln(F)/e],[7/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*(3*e^2+b^2*c^2*ln(F)^2)/e^2/(5*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(e*x+d)^3*sec(e*x+d)^3,x,3,64*exp(6*I*(e*x+d))*F^(c*(b*x+a))*hypergeom([3, 3/2-1/4*I*b*c*ln(F)/e],[5/2-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))/(6*e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(f*sin(e*x+d))*sqrt(g*sin(e*x+d)),x,2,-f*F^(c*(b*x+a))*sqrt(g*sin(e*x+d))*(e*cos(e*x+d)-b*c*ln(F)*sin(e*x+d))/(e^2+b^2*c^2*ln(F)^2)/sqrt(f*sin(e*x+d)),1],
[F^(c*(b*x+a))*sqrt(g*csc(e*x+d))*sqrt(f*sin(e*x+d)),x,2,F^(c*(b*x+a))*sqrt(g*csc(e*x+d))*sqrt(f*sin(e*x+d))/b/c/ln(F),1],
[F^(c*(b*x+a))*sqrt(f*csc(e*x+d))*sqrt(g*csc(e*x+d)),x,3,-2*exp(I*(e*x+d))*f*F^(c*(b*x+a))*sqrt(g*csc(e*x+d))*hypergeom([1, 1/2*(e-I*b*c*ln(F))/e],[3/2-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/sqrt(f*csc(e*x+d))/(e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*sqrt(g*cos(e*x+d)),x,2,f*F^(c*(b*x+a))*sqrt(g*cos(e*x+d))*(b*c*cos(e*x+d)*ln(F)+e*sin(e*x+d))/sqrt(f*cos(e*x+d))/(e^2+b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*sqrt(g*sec(e*x+d)),x,2,F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*sqrt(g*sec(e*x+d))/b/c/ln(F),1],
[F^(c*(b*x+a))*sqrt(f*sec(e*x+d))*sqrt(g*sec(e*x+d)),x,3,2*exp(I*(e*x+d))*f*F^(c*(b*x+a))*hypergeom([1, 1/2*(e-I*b*c*ln(F))/e],[3/2-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*sqrt(g*sec(e*x+d))/(I*e+b*c*ln(F))/sqrt(f*sec(e*x+d)),1],
[F^(c*(b*x+a))*sqrt(f*tan(e*x+d))*sqrt(g*tan(e*x+d)),x,4,-I*f*F^(c*(b*x+a))*sqrt(g*tan(e*x+d))/b/c/ln(F)/sqrt(f*tan(e*x+d))+2*I*f*F^(c*(b*x+a))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*sqrt(g*tan(e*x+d))/b/c/ln(F)/sqrt(f*tan(e*x+d)),1],
[F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*sqrt(f*tan(e*x+d)),x,2,F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*sqrt(f*tan(e*x+d))/b/c/ln(F),1],
[F^(c*(b*x+a))*sqrt(f*cot(e*x+d))*sqrt(g*cot(e*x+d)),x,4,I*f*F^(c*(b*x+a))*sqrt(g*cot(e*x+d))/b/c/sqrt(f*cot(e*x+d))/ln(F)-2*I*f*F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*hypergeom([1, -1/2*I*b*c*ln(F)/e],[1-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/b/c/sqrt(f*cot(e*x+d))/ln(F),1],
[F^(c*(b*x+a))*sqrt(g*cos(e*x+d))*sqrt(f*sin(e*x+d)),x,3,-F^(c*(b*x+a))*sqrt(g*cos(e*x+d))*hypergeom([-1/2, 1/4*(-e-I*b*c*ln(F))/e],[3/4-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))*sqrt(f*sin(e*x+d))/sqrt(1-exp(2*I*(e*x+d)))/sqrt(1+exp(2*I*(e*x+d)))/(I*e-b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(g*sec(e*x+d))*sqrt(f*sin(e*x+d)),x,9,sqrt(1-exp(4*I*(e*x+d)))*F^(c*(b*x+a))*hypergeom([1/2, -1/4*I*b*c*ln(F)/e],[1-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))*sqrt(g*sec(e*x+d))*sqrt(f*sin(e*x+d))/b/c/(1-exp(2*I*(e*x+d)))/ln(F)-exp(2*I*(e*x+d))*sqrt(1-exp(4*I*(e*x+d)))*F^(c*(b*x+a))*hypergeom([1/2, 1/2-1/4*I*b*c*ln(F)/e],[3/2-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))*sqrt(g*sec(e*x+d))*sqrt(f*sin(e*x+d))/(1-exp(2*I*(e*x+d)))/(2*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(g*cos(e*x+d))*sqrt(f*csc(e*x+d)),x,9,sqrt(1-exp(4*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(g*cos(e*x+d))*sqrt(f*csc(e*x+d))*hypergeom([1/2, -1/4*I*b*c*ln(F)/e],[1-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))/b/c/(1+exp(2*I*(e*x+d)))/ln(F)+exp(2*I*(e*x+d))*sqrt(1-exp(4*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(g*cos(e*x+d))*sqrt(f*csc(e*x+d))*hypergeom([1/2, 1/2-1/4*I*b*c*ln(F)/e],[3/2-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))/(1+exp(2*I*(e*x+d)))/(2*I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(f*csc(e*x+d))*sqrt(g*sec(e*x+d)),x,3,sqrt(1-exp(2*I*(e*x+d)))*sqrt(1+exp(2*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(f*csc(e*x+d))*hypergeom([1/2, 1/4*(e-I*b*c*ln(F))/e],[5/4-1/4*I*b*c*ln(F)/e],exp(4*I*(e*x+d)))*sqrt(g*sec(e*x+d))/(I*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(f*sin(e*x+d))*sqrt(g*tan(e*x+d)),x,3,-2*(1+exp(2*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(f*sin(e*x+d))*sqrt(g*tan(e*x+d))/(1-exp(2*I*(e*x+d)))/(I*e+2*b*c*ln(F))+8*b*c*sqrt(1+exp(2*I*(e*x+d)))*F^(c*(b*x+a))*hypergeom([1/2, 1/4*(-e-2*I*b*c*ln(F))/e],[3/4-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*ln(F)*sqrt(f*sin(e*x+d))*sqrt(g*tan(e*x+d))/(1-exp(2*I*(e*x+d)))/(e^2+4*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*sqrt(f*sin(e*x+d)),x,2,-2*F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*hypergeom([-1/2, 1/4*(-e-2*I*b*c*ln(F))/e],[3/4-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*sqrt(f*sin(e*x+d))/sqrt(1+exp(2*I*(e*x+d)))/(I*e-2*b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(f*csc(e*x+d))*sqrt(g*tan(e*x+d)),x,2,2*sqrt(1+exp(2*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(f*csc(e*x+d))*hypergeom([1/2, 1/4*(e-2*I*b*c*ln(F))/e],[5/4-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*sqrt(g*tan(e*x+d))/(I*e+2*b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*sqrt(f*csc(e*x+d)),x,3,2*(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*AppellF1(1/4*(e-2*I*b*c*ln(F))/e,-1/2,1,5/4-1/2*I*b*c*ln(F)/e,-exp(2*I*(e*x+d)),exp(2*I*(e*x+d)))*sqrt(g*cot(e*x+d))*sqrt(f*csc(e*x+d))/sqrt(1+exp(2*I*(e*x+d)))/(I*e+2*b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*sqrt(g*tan(e*x+d)),x,3,-2*F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*hypergeom([-1/2, 1/4*(-e-2*I*b*c*ln(F))/e],[3/4-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*sqrt(g*tan(e*x+d))/sqrt(1-exp(2*I*(e*x+d)))/(I*e-2*b*c*ln(F)),1],
[F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*sqrt(g*cot(e*x+d)),x,4,-2*(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*sqrt(g*cot(e*x+d))/(1+exp(2*I*(e*x+d)))/(I*e+2*b*c*ln(F))+8*b*c*sqrt(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(f*cos(e*x+d))*sqrt(g*cot(e*x+d))*hypergeom([1/2, 1/4*(-e-2*I*b*c*ln(F))/e],[3/4-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*ln(F)/(1+exp(2*I*(e*x+d)))/(e^2+4*b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*sqrt(f*sec(e*x+d))*sqrt(g*tan(e*x+d)),x,3,1/6*I*exp(2*I*(e*x+d))^(-1/4+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))*F^(c*(b*x+a))*AppellF1(3/2,3/4+1/2*I*b*c*ln(F)/e,1,5/2,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*sqrt(f*sec(e*x+d))*sqrt(g*tan(e*x+d))/e,1],
[F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*sqrt(f*sec(e*x+d)),x,3,2*sqrt(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*sqrt(g*cot(e*x+d))*hypergeom([1/2, 1/4*(e-2*I*b*c*ln(F))/e],[5/4-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*sqrt(f*sec(e*x+d))/(I*e+2*b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*sin(e*x+d))^p*(g*sin(e*x+d))^q,x,4,-(1-exp(2*I*(e*x+d)))^(-p-q)*F^(c*(b*x+a))*hypergeom([-p-q, 1/2*(-e*(p+q)-I*b*c*ln(F))/e],[1/2*(e*(2-p-q)-I*b*c*ln(F))/e],exp(2*I*(e*x+d)))*(f*sin(e*x+d))^p*(g*sin(e*x+d))^q/(I*e*(p+q)-b*c*ln(F)),1],
[F^(c*(b*x+a))*(g*csc(e*x+d))^q*(f*sin(e*x+d))^p,x,3,-(1-exp(2*I*(e*x+d)))^(-p+q)*F^(c*(b*x+a))*(g*csc(e*x+d))^q*hypergeom([-p+q, -1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],[1-1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*(f*sin(e*x+d))^p/(I*e*(p-q)-b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*csc(e*x+d))^p*(g*csc(e*x+d))^q,x,4,(1-exp(2*I*(e*x+d)))^(p+q)*F^(c*(b*x+a))*(f*csc(e*x+d))^p*(g*csc(e*x+d))^q*hypergeom([p+q, 1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],[1+1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/(I*e*(p+q)+b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*cos(e*x+d))^p*(g*cos(e*x+d))^q,x,3,-(1+exp(2*I*(e*x+d)))^(-p-q)*F^(c*(b*x+a))*(f*cos(e*x+d))^p*(g*cos(e*x+d))^q*hypergeom([-p-q, 1/2*(-e*(p+q)-I*b*c*ln(F))/e],[1/2*(e*(2-p-q)-I*b*c*ln(F))/e],-exp(2*I*(e*x+d)))/(I*e*(p+q)-b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*cos(e*x+d))^p*(g*sec(e*x+d))^q,x,2,-(1+exp(2*I*(e*x+d)))^(-p+q)*F^(c*(b*x+a))*(f*cos(e*x+d))^p*hypergeom([-p+q, -1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],[1-1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*(g*sec(e*x+d))^q/(I*e*(p-q)-b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*sec(e*x+d))^p*(g*sec(e*x+d))^q,x,3,(1+exp(2*I*(e*x+d)))^(p+q)*F^(c*(b*x+a))*hypergeom([p+q, 1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],[1+1/2*p+1/2*q-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*(f*sec(e*x+d))^p*(g*sec(e*x+d))^q/(I*e*(p+q)+b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*tan(e*x+d))^p*(g*tan(e*x+d))^q,x,4,I*2^(-1-p-q)*exp(2*I*(e*x+d))^(1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^(p+q)*F^(c*(b*x+a))*AppellF1(1+p+q,1+1/2*I*b*c*ln(F)/e,p+q,2+p+q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*tan(e*x+d))^p*(g*tan(e*x+d))^q/e/(1+p+q),1],
[F^(c*(b*x+a))*(g*cot(e*x+d))^q*(f*tan(e*x+d))^p,x,3,I*2^(-1-p+q)*exp(2*I*(e*x+d))^(1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^(p-q)*F^(c*(b*x+a))*AppellF1(1+p-q,1+1/2*I*b*c*ln(F)/e,p-q,2+p-q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(g*cot(e*x+d))^q*(f*tan(e*x+d))^p/e/(1+p-q),1],
[F^(c*(b*x+a))*(f*cot(e*x+d))^p*(g*cot(e*x+d))^q,x,4,I*2^(-1+p+q)*exp(2*I*(e*x+d))^(1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^(-p-q)*F^(c*(b*x+a))*AppellF1(1-p-q,1+1/2*I*b*c*ln(F)/e,-p-q,2-p-q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*cot(e*x+d))^p*(g*cot(e*x+d))^q/e/(1-p-q),1],
[F^(c*(b*x+a))*(g*cos(e*x+d))^q*(f*sin(e*x+d))^p,x,3,I*2^(-1+q)*exp(2*I*(e*x+d))^(1/2*p+1/2*q+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*AppellF1(p+1,1+1/2*p+1/2*q+1/2*I*b*c*ln(F)/e,-q,2+p,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(g*cos(e*x+d))^q*(f*sin(e*x+d))^p/e/((1+exp(2*I*(e*x+d)))^q)/(p+1),1],
[F^(c*(b*x+a))*(g*sec(e*x+d))^q*(f*sin(e*x+d))^p,x,3,I*2^(-1-q)*exp(2*I*(e*x+d))^(1/2*p-1/2*q+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^q*F^(c*(b*x+a))*AppellF1(p+1,1+1/2*p-1/2*q+1/2*I*b*c*ln(F)/e,q,2+p,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(g*sec(e*x+d))^q*(f*sin(e*x+d))^p/e/(p+1),1],
[F^(c*(b*x+a))*(g*cos(e*x+d))^q*(f*csc(e*x+d))^p,x,3,I*2^(-1+q)*exp(2*I*(e*x+d))^(-1/2*p+1/2*q+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*AppellF1(1-p,1-1/2*p+1/2*q+1/2*I*b*c*ln(F)/e,-q,2-p,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(g*cos(e*x+d))^q*(f*csc(e*x+d))^p/e/((1+exp(2*I*(e*x+d)))^q)/(1-p),1],
[F^(c*(b*x+a))*(f*csc(e*x+d))^p*(g*sec(e*x+d))^q,x,3,I*2^(-1-q)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^q*F^(c*(b*x+a))*AppellF1(1-p,1/2*(e*(2-p-q)+I*b*c*ln(F))/e,q,2-p,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*csc(e*x+d))^p*(g*sec(e*x+d))^q/e/(exp(2*I*(e*x+d))^(1/2*(e*(p+q)-I*b*c*ln(F))/e))/(1-p),1],
[F^(c*(b*x+a))*(f*sin(e*x+d))^p*(g*tan(e*x+d))^q,x,3,I*2^(-1-q)*exp(2*I*(e*x+d))^(1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^q*F^(c*(b*x+a))*AppellF1(1+p+q,1+1/2*p+1/2*I*b*c*ln(F)/e,q,2+p+q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*sin(e*x+d))^p*(g*tan(e*x+d))^q/e/(1+p+q),1],
[F^(c*(b*x+a))*(g*cot(e*x+d))^q*(f*sin(e*x+d))^p,x,3,I*2^(-1+q)*exp(2*I*(e*x+d))^(1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*AppellF1(1+p-q,1+1/2*p+1/2*I*b*c*ln(F)/e,-q,2+p-q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(g*cot(e*x+d))^q*(f*sin(e*x+d))^p/e/((1+exp(2*I*(e*x+d)))^q)/(1+p-q),1],
[F^(c*(b*x+a))*(f*csc(e*x+d))^p*(g*tan(e*x+d))^q,x,3,I*2^(-1-q)*exp(2*I*(e*x+d))^(-1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^q*F^(c*(b*x+a))*AppellF1(1-p+q,1-1/2*p+1/2*I*b*c*ln(F)/e,q,2-p+q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*csc(e*x+d))^p*(g*tan(e*x+d))^q/e/(1-p+q),1],
[F^(c*(b*x+a))*(g*cot(e*x+d))^q*(f*csc(e*x+d))^p,x,3,I*2^(-1+q)*exp(2*I*(e*x+d))^(-1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*AppellF1(1-p-q,1-1/2*p+1/2*I*b*c*ln(F)/e,-q,2-p-q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(g*cot(e*x+d))^q*(f*csc(e*x+d))^p/e/((1+exp(2*I*(e*x+d)))^q)/(1-p-q),1],
[F^(c*(b*x+a))*(f*cos(e*x+d))^p*(g*tan(e*x+d))^q,x,3,I*2^(-1+p-q)*exp(2*I*(e*x+d))^(1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^(-p+q)*F^(c*(b*x+a))*AppellF1(1+q,1+1/2*p+1/2*I*b*c*ln(F)/e,-p+q,2+q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*cos(e*x+d))^p*(g*tan(e*x+d))^q/e/(1+q),1],
[F^(c*(b*x+a))*(f*cos(e*x+d))^p*(g*cot(e*x+d))^q,x,3,I*2^(-1+p+q)*exp(2*I*(e*x+d))^(1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^(-p-q)*F^(c*(b*x+a))*AppellF1(1-q,1+1/2*p+1/2*I*b*c*ln(F)/e,-p-q,2-q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*cos(e*x+d))^p*(g*cot(e*x+d))^q/e/(1-q),1],
[F^(c*(b*x+a))*(f*sec(e*x+d))^p*(g*tan(e*x+d))^q,x,3,I*2^(-1-p-q)*exp(2*I*(e*x+d))^(-1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^(p+q)*F^(c*(b*x+a))*AppellF1(1+q,1-1/2*p+1/2*I*b*c*ln(F)/e,p+q,2+q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*sec(e*x+d))^p*(g*tan(e*x+d))^q/e/(1+q),1],
[F^(c*(b*x+a))*(g*cot(e*x+d))^q*(f*sec(e*x+d))^p,x,3,I*2^(-1-p+q)*exp(2*I*(e*x+d))^(-1/2*p+1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*(1+exp(2*I*(e*x+d)))^(p-q)*F^(c*(b*x+a))*AppellF1(1-q,1-1/2*p+1/2*I*b*c*ln(F)/e,p-q,2-q,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(g*cot(e*x+d))^q*(f*sec(e*x+d))^p/e/(1-q),1]]: