lst:=[[exp(a+I*b*x)*sin(b*x+d),x,3,-1/4*exp(a-I*d+2*I*(b*x+d))/b+1/2*I*exp(a-I*d)*x,1],
[exp(a+I*b*x)*sin(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)*sin(b*x+d)^3,x,4,1/16*exp(a-I*d-2*I*(b*x+d))/b-3/16*exp(a-I*d+2*I*(b*x+d))/b+1/32*exp(a-I*d+4*I*(b*x+d))/b+3/8*I*exp(a-I*d)*x,1],
[exp(a+I*b*x)*sin(b*x+d)^4,x,3,-1/4*I*exp(a-I*d-I*(b*x+d))/b-3/8*I*exp(a-I*d+I*(b*x+d))/b+1/48*I*exp(a-I*d-3*I*(b*x+d))/b+1/12*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(2*a+2*I*b*x)*sin(b*x+d),x,2,1/2*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,1],
[exp(2*a+2*I*b*x)*sin(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)*sin(b*x+d)^3,x,3,1/8*exp(2*a-2*I*d-I*(b*x+d))/b+3/8*exp(2*a-2*I*d+I*(b*x+d))/b-1/8*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)*sin(b*x+d)^4,x,4,1/32*I*exp(2*a-2*I*d-2*I*(b*x+d))/b-3/16*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-1/96*I*exp(2*a-2*I*d+6*I*(b*x+d))/b-1/4*exp(2*a-2*I*d)*x,1],
[exp(5/3*a+5/3*I*b*x)*sin(b*x+d),x,3,3/4*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b-3/16*exp(5/3*a-5/3*I*d+8/3*I*(b*x+d))/b,1],
[exp(5/3*a+5/3*I*b*x)*sin(b*x+d)^2,x,3,-3/4*I*exp(5/3*a-5/3*I*d-1/3*I*(b*x+d))/b-3/10*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b+3/44*I*exp(5/3*a-5/3*I*d+11/3*I*(b*x+d))/b,1],
[exp(5/3*a+5/3*I*b*x)*sin(b*x+d)^3,x,3,9/16*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b+3/32*exp(5/3*a-5/3*I*d-4/3*I*(b*x+d))/b-9/64*exp(5/3*a-5/3*I*d+8/3*I*(b*x+d))/b+3/112*exp(5/3*a-5/3*I*d+14/3*I*(b*x+d))/b,1],
[exp(5/3*a+5/3*I*b*x)*sin(b*x+d)^4,x,3,-3/4*I*exp(5/3*a-5/3*I*d-1/3*I*(b*x+d))/b-9/40*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b+3/112*I*exp(5/3*a-5/3*I*d-7/3*I*(b*x+d))/b+3/44*I*exp(5/3*a-5/3*I*d+11/3*I*(b*x+d))/b-3/272*I*exp(5/3*a-5/3*I*d+17/3*I*(b*x+d))/b,1],
[F^(c*(b*x+a))*sin(e*x+d),x,1,-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),1],
[F^(c*(b*x+a))*sin(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))*sin(e*x+d)*(2*e*cos(e*x+d)-b*c*ln(F)*sin(e*x+d))/(4*e^2+b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*sin(e*x+d)^3,x,2,-6*e^2*F^(c*(b*x+a))*(e*cos(e*x+d)-b*c*ln(F)*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))*sin(e*x+d)^2*(3*e*cos(e*x+d)-b*c*ln(F)*sin(e*x+d))/(9*e^2+b^2*c^2*ln(F)^2),1],
[F^(c*(b*x+a))*sin(e*x+d)^4,x,3,24*e^4*F^(c*(b*x+a))/b/c/ln(F)/(64*e^4+20*b^2*c^2*e^2*ln(F)^2+b^4*c^4*ln(F)^4)-12*e^2*F^(c*(b*x+a))*sin(e*x+d)*(2*e*cos(e*x+d)-b*c*ln(F)*sin(e*x+d))/(64*e^4+20*b^2*c^2*e^2*ln(F)^2+b^4*c^4*ln(F)^4)-F^(c*(b*x+a))*sin(e*x+d)^3*(4*e*cos(e*x+d)-b*c*ln(F)*sin(e*x+d))/(16*e^2+b^2*c^2*ln(F)^2),1],
[exp(a+I*b*x)*sin(b*x+a)^n,x,3,-I*exp(a+I*b*x)*hypergeom([1/2-1/2*n, -n],[3/2-1/2*n],exp(2*I*(b*x+a)))*sin(b*x+a)^n/b/((1-exp(2*I*(b*x+a)))^n)/(1-n),1],
[F^(c*(b*x+a))*(f*sin(e*x+d))^n,x,3,-F^(c*(b*x+a))*hypergeom([-n, 1/2*(-e*n-I*b*c*ln(F))/e],[1-1/2*n-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))*(f*sin(e*x+d))^n/((1-exp(2*I*(e*x+d)))^n)/(I*e*n-b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*sin(d+I*b*c*x*ln(F)/(2+n)))^n,x,1,-F^(c*(b*x+a))*(2+n)*(I*cos(d+I*b*c*x*ln(F)/(2+n))-sin(d+I*b*c*x*ln(F)/(2+n)))*(f*sin(d+I*b*c*x*ln(F)/(2+n)))^(1+n)/b/c/f/(1+n)/ln(F),1],
[F^(c*(b*x+a))*(f*sin(d-I*b*c*x*ln(F)/(2+n)))^n,x,1,F^(c*(b*x+a))*(2+n)*(f*sin(d-I*b*c*x*ln(F)/(2+n)))^(1+n)*(I*cos(d-I*b*c*x*ln(F)/(2+n))+sin(d-I*b*c*x*ln(F)/(2+n)))/b/c/f/(1+n)/ln(F),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)*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)^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)^4,x,3,1/4*I*exp(a-I*d-I*(b*x+d))/b-3/8*I*exp(a-I*d+I*(b*x+d))/b+1/48*I*exp(a-I*d-3*I*(b*x+d))/b-1/12*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(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)*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)^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)^4,x,4,1/32*I*exp(2*a-2*I*d-2*I*(b*x+d))/b-3/16*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-1/96*I*exp(2*a-2*I*d+6*I*(b*x+d))/b+1/4*exp(2*a-2*I*d)*x,1],
[exp(5/3*a+5/3*I*b*x)*cos(b*x+a),x,3,-3/4*I*exp((5/3-5/3*I)*a+2/3*I*(b*x+a))/b-3/16*I*exp((5/3-5/3*I)*a+8/3*I*(b*x+a))/b,1],
[exp(5/3*a+5/3*I*b*x)*cos(b*x+a)^2,x,3,3/4*I*exp((5/3-5/3*I)*a-1/3*I*(b*x+a))/b-3/10*I*exp((5/3-5/3*I)*a+5/3*I*(b*x+a))/b-3/44*I*exp((5/3-5/3*I)*a+11/3*I*(b*x+a))/b,1],
[exp(5/3*a+5/3*I*b*x)*cos(b*x+a)^3,x,3,-9/16*I*exp((5/3-5/3*I)*a+2/3*I*(b*x+a))/b+3/32*I*exp((5/3-5/3*I)*a-4/3*I*(b*x+a))/b-9/64*I*exp((5/3-5/3*I)*a+8/3*I*(b*x+a))/b-3/112*I*exp((5/3-5/3*I)*a+14/3*I*(b*x+a))/b,1],
[exp(5/3*a+5/3*I*b*x)*cos(b*x+a)^4,x,3,3/4*I*exp((5/3-5/3*I)*a-1/3*I*(b*x+a))/b-9/40*I*exp((5/3-5/3*I)*a+5/3*I*(b*x+a))/b+3/112*I*exp((5/3-5/3*I)*a-7/3*I*(b*x+a))/b-3/44*I*exp((5/3-5/3*I)*a+11/3*I*(b*x+a))/b-3/272*I*exp((5/3-5/3*I)*a+17/3*I*(b*x+a))/b,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))*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)^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)^4,x,3,24*e^4*F^(c*(b*x+a))/b/c/ln(F)/(64*e^4+20*b^2*c^2*e^2*ln(F)^2+b^4*c^4*ln(F)^4)+12*e^2*F^(c*(b*x+a))*cos(e*x+d)*(b*c*cos(e*x+d)*ln(F)+2*e*sin(e*x+d))/(64*e^4+20*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)^3*(b*c*cos(e*x+d)*ln(F)+4*e*sin(e*x+d))/(16*e^2+b^2*c^2*ln(F)^2),1],
[exp(a+I*b*x)*cos(b*x+a)^n,x,2,-I*exp(a+I*b*x)*cos(b*x+a)^n*hypergeom([1/2-1/2*n, -n],[3/2-1/2*n],-exp(2*I*(b*x+a)))/b/((1+exp(2*I*(b*x+a)))^n)/(1-n),1],
[F^(c*(b*x+a))*(f*cos(e*x+d))^n,x,2,-F^(c*(b*x+a))*(f*cos(e*x+d))^n*hypergeom([-n, 1/2*(-e*n-I*b*c*ln(F))/e],[1-1/2*n-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))/((1+exp(2*I*(e*x+d)))^n)/(I*e*n-b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*cos(d+I*b*c*x*ln(F)/(2+n)))^n,x,1,F^(c*(b*x+a))*(2+n)*(f*cos(d+I*b*c*x*ln(F)/(2+n)))^(1+n)*(cos(d+I*b*c*x*ln(F)/(2+n))+I*sin(d+I*b*c*x*ln(F)/(2+n)))/b/c/f/(1+n)/ln(F),1],
[F^(c*(b*x+a))*(f*cos(d-I*b*c*x*ln(F)/(2+n)))^n,x,1,F^(c*(b*x+a))*(2+n)*(f*cos(d-I*b*c*x*ln(F)/(2+n)))^(1+n)*(cos(d-I*b*c*x*ln(F)/(2+n))-I*sin(d-I*b*c*x*ln(F)/(2+n)))/b/c/f/(1+n)/ln(F),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)*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)*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)*tan(b*x+d)^4,x,7,-I*exp(a-I*d+I*(b*x+d))/b-8/3*I*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^3+14/3*I*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2-5*I*exp(a-I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))+3*I*exp(a-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)*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)*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)*tan(b*x+d)^4,x,4,-1/2*I*exp(2*a-2*I*d+2*I*(b*x+d))/b+8/3*I*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))^3-8*I*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))^2+12*I*exp(2*a-2*I*d)/b/(1+exp(2*I*(b*x+d)))+4*I*exp(2*a-2*I*d)*ln(1+exp(2*I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*tan(b*x+d),x,13,-3/5*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b+2*exp(5/3*a-5/3*I*d)*arctan(exp(1/3*I*(b*x+d)))/b-exp(5/3*a-5/3*I*d)*arctan(sqrt(3)-2*exp(1/3*I*(b*x+d)))/b+exp(5/3*a-5/3*I*d)*arctan(sqrt(3)+2*exp(1/3*I*(b*x+d)))/b-sqrt(3)*exp(5/3*a-5/3*I*d)*arctanh(sqrt(3)*exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/b,1],
[exp(5/3*a+5/3*I*b*x)*tan(b*x+d)^2,x,14,3/5*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b+2*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-10/3*I*exp(5/3*a-5/3*I*d)*arctan(exp(1/3*I*(b*x+d)))/b+5/3*I*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)-2*exp(1/3*I*(b*x+d)))/b-5/3*I*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)+2*exp(1/3*I*(b*x+d)))/b+5*I*exp(5/3*a-5/3*I*d)*arctanh(sqrt(3)*exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/sqrt(3)/b,1],
[exp(5/3*a+5/3*I*b*x)*tan(b*x+d)^3,x,15,3/5*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b-2*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+11/3*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-43/9*exp(5/3*a-5/3*I*d)*arctan(exp(1/3*I*(b*x+d)))/b+43/18*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)-2*exp(1/3*I*(b*x+d)))/b-43/18*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)+2*exp(1/3*I*(b*x+d)))/b+43/6*exp(5/3*a-5/3*I*d)*arctanh(sqrt(3)*exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/sqrt(3)/b,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))*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))*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))*tan(e*x+d)^4,x,6,-8/3*I*F^(c*(b*x+a))/e/(1+exp(2*I*(e*x+d)))^3+F^(c*(b*x+a))/b/c/ln(F)+2/3*F^(c*(b*x+a))*(6*I*e+b*c*ln(F))/e^2/(1+exp(2*I*(e*x+d)))^2+1/3*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)))*(8*e^2-b^2*c^2*ln(F)^2)/e^3-1/3*F^(c*(b*x+a))*(12*I*e^2+2*b*c*e*ln(F)-I*b^2*c^2*ln(F)^2)/e^3/(1+exp(2*I*(e*x+d))),1],
[exp(a+I*b*x)*tan(b*x+a)^n,x,3,-I*exp(a+I*b*x)*(1+exp(2*I*(b*x+a)))^n*AppellF1(1/2,-n,n,3/2,exp(2*I*(b*x+a)),-exp(2*I*(b*x+a)))*tan(b*x+a)^n/b/((1-exp(2*I*(b*x+a)))^n),1],
[F^(c*(b*x+a))*(f*tan(e*x+d))^n,x,3,I*2^(-1-n)*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)))^n*F^(c*(b*x+a))*AppellF1(1+n,1+1/2*I*b*c*ln(F)/e,n,2+n,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*tan(e*x+d))^n/e/(1+n),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)^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)^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)*cot(b*x+d)^4,x,7,-I*exp(a-I*d+I*(b*x+d))/b-8/3*I*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^3+14/3*I*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-5*I*exp(a-I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+3*I*exp(a-I*d)*arctanh(exp(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)^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)^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)*cot(b*x+d)^4,x,4,-1/2*I*exp(2*a-2*I*d+2*I*(b*x+d))/b-8/3*I*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^3+8*I*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))^2-12*I*exp(2*a-2*I*d)/b/(1-exp(2*I*(b*x+d)))-4*I*exp(2*a-2*I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*cot(b*x+d),x,13,3/5*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b-sqrt(3)*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(1/3*I*(b*x+d)))/sqrt(3))/b+sqrt(3)*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(1/3*I*(b*x+d)))/sqrt(3))/b-2*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d)))/b-exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/b,1],
[exp(5/3*a+5/3*I*b*x)*cot(b*x+d)^2,x,14,3/5*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b+2*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))-5*I*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b+5*I*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-10/3*I*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d)))/b-5/3*I*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/b,1],
[exp(5/3*a+5/3*I*b*x)*cot(b*x+d)^3,x,15,-3/5*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b+2*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-11/3*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+43/6*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-43/6*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b+43/9*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d)))/b+43/18*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/b,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)^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)^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))*cot(e*x+d)^4,x,6,-8/3*I*F^(c*(b*x+a))/e/(1-exp(2*I*(e*x+d)))^3+F^(c*(b*x+a))/b/c/ln(F)+2/3*F^(c*(b*x+a))*(6*I*e+b*c*ln(F))/e^2/(1-exp(2*I*(e*x+d)))^2+1/3*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)))*(8*e^2-b^2*c^2*ln(F)^2)/e^3-1/3*F^(c*(b*x+a))*(12*I*e^2+2*b*c*e*ln(F)-I*b^2*c^2*ln(F)^2)/e^3/(1-exp(2*I*(e*x+d))),1],
[exp(a+I*b*x)*cot(b*x+a)^n,x,3,-I*exp(a+I*b*x)*(1-exp(2*I*(b*x+a)))^n*AppellF1(1/2,n,-n,3/2,exp(2*I*(b*x+a)),-exp(2*I*(b*x+a)))*cot(b*x+a)^n/b/((1+exp(2*I*(b*x+a)))^n),1],
[F^(c*(b*x+a))*(f*cot(e*x+d))^n,x,3,I*2^(-1+n)*exp(2*I*(e*x+d))^(1/2*I*b*c*ln(F)/e)*(1-exp(2*I*(e*x+d)))*F^(c*(b*x+a))*AppellF1(1-n,1+1/2*I*b*c*ln(F)/e,-n,2-n,1-exp(2*I*(e*x+d)),1/2-1/2*exp(2*I*(e*x+d)))*(f*cot(e*x+d))^n/e/((1+exp(2*I*(e*x+d)))^n)/(1-n),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)*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)*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)*sec(b*x+d)^4,x,5,8/3*I*exp(a-I*d+3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^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+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-I*exp(a-I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*sec(b*x+d)^5,x,4,4*I*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))^4-32/3*I*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))^3+8*I*exp(a-I*d)/b/(1+exp(2*I*(b*x+d)))^2,1],
[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)*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)*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)*sec(b*x+d)^4,x,2,-8/3*I*exp(2*a-2*I*d+6*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^3,1],
[exp(2*a+2*I*b*x)*sec(b*x+d)^5,x,6,4*I*exp(2*a-2*I*d+5*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^4+10/3*I*exp(2*a-2*I*d+3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^3+5/2*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2-5/4*I*exp(2*a-2*I*d+I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-5/4*I*exp(2*a-2*I*d)*arctan(exp(I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*sec(b*x+d),x,9,-3*I*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b-I*sqrt(3)*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(2/3*I*(b*x+d)))/sqrt(3))/b+I*exp(5/3*a-5/3*I*d)*ln(1+exp(2/3*I*(b*x+d)))/b-1/2*I*exp(5/3*a-5/3*I*d)*ln(1-exp(2/3*I*(b*x+d))+exp(4/3*I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*sec(b*x+d)^2,x,12,2*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-10/3*I*exp(5/3*a-5/3*I*d)*arctan(exp(1/3*I*(b*x+d)))/b+5/3*I*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)-2*exp(1/3*I*(b*x+d)))/b-5/3*I*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)+2*exp(1/3*I*(b*x+d)))/b+5*I*exp(5/3*a-5/3*I*d)*arctanh(sqrt(3)*exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/sqrt(3)/b,1],
[exp(5/3*a+5/3*I*b*x)*sec(b*x+d)^3,x,10,2*I*exp(5/3*a-5/3*I*d+8/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2+8/3*I*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))+8/3*I*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(2/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-8/9*I*exp(5/3*a-5/3*I*d)*ln(1+exp(2/3*I*(b*x+d)))/b+4/9*I*exp(5/3*a-5/3*I*d)*ln(1-exp(2/3*I*(b*x+d))+exp(4/3*I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*sec(b*x+d)^4,x,14,8/3*I*exp(5/3*a-5/3*I*d+11/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^3+22/9*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2-55/27*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))-55/81*I*exp(5/3*a-5/3*I*d)*arctan(exp(1/3*I*(b*x+d)))/b+55/162*I*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)-2*exp(1/3*I*(b*x+d)))/b-55/162*I*exp(5/3*a-5/3*I*d)*arctan(sqrt(3)+2*exp(1/3*I*(b*x+d)))/b+55/54*I*exp(5/3*a-5/3*I*d)*arctanh(sqrt(3)*exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/sqrt(3)/b,1],
[exp(5/3*a+5/3*I*b*x)*sec(b*x+d)^5,x,12,4*I*exp(5/3*a-5/3*I*d+14/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^4+28/9*I*exp(5/3*a-5/3*I*d+8/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^3+56/27*I*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))^2-56/81*I*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b/(1+exp(2*I*(b*x+d)))+112/81*I*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(2/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-112/243*I*exp(5/3*a-5/3*I*d)*ln(1+exp(2/3*I*(b*x+d)))/b+56/243*I*exp(5/3*a-5/3*I*d)*ln(1-exp(2/3*I*(b*x+d))+exp(4/3*I*(b*x+d)))/b,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))*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))*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],
[exp(a+I*b*x)*sec(b*x+a)^n,x,2,-I*exp(a+I*b*x)*(1+exp(2*I*(b*x+a)))^n*hypergeom([n, 1/2+1/2*n],[3/2+1/2*n],-exp(2*I*(b*x+a)))*sec(b*x+a)^n/b/(1+n),1],
[F^(c*(b*x+a))*(f*sec(e*x+d))^n,x,2,(1+exp(2*I*(e*x+d)))^n*F^(c*(b*x+a))*hypergeom([n, 1/2*n-1/2*I*b*c*ln(F)/e],[1+1/2*n-1/2*I*b*c*ln(F)/e],-exp(2*I*(e*x+d)))*(f*sec(e*x+d))^n/(I*e*n+b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*sec(d+I*b*c*x*ln(F)/(-2+n)))^n,x,1,f^2*F^(c*(b*x+a))*(2-n)*(f*sec(d-I*b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)-I*f*F^(c*(b*x+a))*(2-n)*(f*sec(d-I*b*c*x*ln(F)/(2-n)))^(-1+n)*sin(d-I*b*c*x*ln(F)/(2-n))/b/c/(1-n)/ln(F),1],
[F^(c*(b*x+a))*(f*sec(d-I*b*c*x*ln(F)/(-2+n)))^n,x,1,f^2*F^(c*(b*x+a))*(2-n)*(f*sec(d+I*b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)+I*f*F^(c*(b*x+a))*(2-n)*(f*sec(d+I*b*c*x*ln(F)/(2-n)))^(-1+n)*sin(d+I*b*c*x*ln(F)/(2-n))/b/c/(1-n)/ln(F),1],
[exp(a+I*b*x)*csc(b*x+d),x,2,exp(a-I*d)*ln(1-exp(2*I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(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)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^3,x,2,2*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)^4,x,5,-8/3*I*exp(a-I*d+3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^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+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))-I*exp(a-I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(a+I*b*x)*csc(b*x+d)^5,x,4,-4*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))^4+32/3*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))^3-8*exp(a-I*d)/b/(1-exp(2*I*(b*x+d)))^2,1],
[exp(2*a+2*I*b*x)*csc(b*x+d),x,3,2*exp(2*a-2*I*d+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,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)^3,x,4,2*exp(2*a-2*I*d+3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-3*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+3*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)^4,x,2,-8/3*I*exp(2*a-2*I*d+6*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^3,1],
[exp(2*a+2*I*b*x)*csc(b*x+d)^5,x,6,-4*exp(2*a-2*I*d+5*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^4+10/3*exp(2*a-2*I*d+3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^3-5/2*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2+5/4*exp(2*a-2*I*d+I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+5/4*exp(2*a-2*I*d)*arctanh(exp(I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*csc(b*x+d),x,9,3*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b-sqrt(3)*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(2/3*I*(b*x+d)))/sqrt(3))/b+exp(5/3*a-5/3*I*d)*ln(1-exp(2/3*I*(b*x+d)))/b-1/2*exp(5/3*a-5/3*I*d)*ln(1+exp(2/3*I*(b*x+d))+exp(4/3*I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*csc(b*x+d)^2,x,12,2*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))-5*I*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b+5*I*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-10/3*I*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d)))/b-5/3*I*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/b,1],
[exp(5/3*a+5/3*I*b*x)*csc(b*x+d)^3,x,10,2*exp(5/3*a-5/3*I*d+8/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-8/3*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+8/3*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(2/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-8/9*exp(5/3*a-5/3*I*d)*ln(1-exp(2/3*I*(b*x+d)))/b+4/9*exp(5/3*a-5/3*I*d)*ln(1+exp(2/3*I*(b*x+d))+exp(4/3*I*(b*x+d)))/b,1],
[exp(5/3*a+5/3*I*b*x)*csc(b*x+d)^4,x,14,-8/3*I*exp(5/3*a-5/3*I*d+11/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^3+22/9*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2-55/27*I*exp(5/3*a-5/3*I*d+5/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))-55/54*I*exp(5/3*a-5/3*I*d)*arctan((1-2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b+55/54*I*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(1/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-55/81*I*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d)))/b-55/162*I*exp(5/3*a-5/3*I*d)*arctanh(exp(1/3*I*(b*x+d))/(1+exp(2/3*I*(b*x+d))))/b,1],
[exp(5/3*a+5/3*I*b*x)*csc(b*x+d)^5,x,12,-4*exp(5/3*a-5/3*I*d+14/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^4+28/9*exp(5/3*a-5/3*I*d+8/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^3-56/27*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))^2+56/81*exp(5/3*a-5/3*I*d+2/3*I*(b*x+d))/b/(1-exp(2*I*(b*x+d)))+112/81*exp(5/3*a-5/3*I*d)*arctan((1+2*exp(2/3*I*(b*x+d)))/sqrt(3))/sqrt(3)/b-112/243*exp(5/3*a-5/3*I*d)*ln(1-exp(2/3*I*(b*x+d)))/b+56/243*exp(5/3*a-5/3*I*d)*ln(1+exp(2/3*I*(b*x+d))+exp(4/3*I*(b*x+d)))/b,1],
[F^(c*(b*x+a))*csc(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)))/(e-I*b*c*ln(F)),1],
[F^(c*(b*x+a))*csc(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)^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*e-I*b*c*ln(F)),1],
[exp(a+I*b*x)*csc(b*x+a)^n,x,3,-I*exp(a+I*b*x)*(1-exp(2*I*(b*x+a)))^n*csc(b*x+a)^n*hypergeom([n, 1/2+1/2*n],[3/2+1/2*n],exp(2*I*(b*x+a)))/b/(1+n),1],
[F^(c*(b*x+a))*(f*csc(e*x+d))^n,x,3,(1-exp(2*I*(e*x+d)))^n*F^(c*(b*x+a))*(f*csc(e*x+d))^n*hypergeom([n, 1/2*n-1/2*I*b*c*ln(F)/e],[1+1/2*n-1/2*I*b*c*ln(F)/e],exp(2*I*(e*x+d)))/(I*e*n+b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*csc(d+I*b*c*x*ln(F)/(-2+n)))^n,x,1,f^2*F^(c*(b*x+a))*(2-n)*(f*csc(d-I*b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)+I*f*F^(c*(b*x+a))*(2-n)*cos(d-I*b*c*x*ln(F)/(2-n))*(f*csc(d-I*b*c*x*ln(F)/(2-n)))^(-1+n)/b/c/(1-n)/ln(F),1],
[F^(c*(b*x+a))*(f*csc(d-I*b*c*x*ln(F)/(-2+n)))^n,x,1,f^2*F^(c*(b*x+a))*(2-n)*(f*csc(d+I*b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)-I*f*F^(c*(b*x+a))*(2-n)*cos(d+I*b*c*x*ln(F)/(2-n))*(f*csc(d+I*b*c*x*ln(F)/(2-n)))^(-1+n)/b/c/(1-n)/ln(F),1]]: