lst:=[[x^3*tan(b*x+a),x,6,1/4*I*x^4-x^3*ln(1+exp(2*I*(b*x+a)))/b+3/2*I*x^2*polylog(2,-exp(2*I*(b*x+a)))/b^2-3/2*x*polylog(3,-exp(2*I*(b*x+a)))/b^3-3/4*I*polylog(4,-exp(2*I*(b*x+a)))/b^4,1],
[x^2*tan(b*x+a),x,5,1/3*I*x^3-x^2*ln(1+exp(2*I*(b*x+a)))/b+I*x*polylog(2,-exp(2*I*(b*x+a)))/b^2-1/2*polylog(3,-exp(2*I*(b*x+a)))/b^3,1],
[x*tan(b*x+a),x,4,1/2*I*x^2-x*ln(1+exp(2*I*(b*x+a)))/b+1/2*I*polylog(2,-exp(2*I*(b*x+a)))/b^2,1],
[tan(b*x+a)/x,x,0,Defer(Int)(tan(b*x+a)/x,x),0],
[tan(b*x+a)/x^2,x,0,Defer(Int)(tan(b*x+a)/x^2,x),0],
[x^3*tan(b*x+a)^2,x,7,-I*x^3/b-1/4*x^4+3*x^2*ln(1+exp(2*I*(b*x+a)))/b^2-3*I*x*polylog(2,-exp(2*I*(b*x+a)))/b^3+3/2*polylog(3,-exp(2*I*(b*x+a)))/b^4+x^3*tan(b*x+a)/b,1],
[x^2*tan(b*x+a)^2,x,6,-I*x^2/b-1/3*x^3+2*x*ln(1+exp(2*I*(b*x+a)))/b^2-I*polylog(2,-exp(2*I*(b*x+a)))/b^3+x^2*tan(b*x+a)/b,1],
[x*tan(b*x+a)^2,x,3,-1/2*x^2+ln(cos(b*x+a))/b^2+x*tan(b*x+a)/b,1],
[tan(b*x+a)^2/x,x,0,Defer(Int)(tan(b*x+a)^2/x,x),0],
[tan(b*x+a)^2/x^2,x,0,Defer(Int)(tan(b*x+a)^2/x^2,x),0],
[x^3*tan(b*x+a)^3,x,13,3/2*I*x^2/b^2+1/2*x^3/b-1/4*I*x^4-3*x*ln(1+exp(2*I*(b*x+a)))/b^3+x^3*ln(1+exp(2*I*(b*x+a)))/b+3/2*I*polylog(2,-exp(2*I*(b*x+a)))/b^4-3/2*I*x^2*polylog(2,-exp(2*I*(b*x+a)))/b^2+3/2*x*polylog(3,-exp(2*I*(b*x+a)))/b^3+3/4*I*polylog(4,-exp(2*I*(b*x+a)))/b^4-3/2*x^2*tan(b*x+a)/b^2+1/2*x^3*tan(b*x+a)^2/b,1],
[x^2*tan(b*x+a)^3,x,9,1/2*x^2/b-1/3*I*x^3+x^2*ln(1+exp(2*I*(b*x+a)))/b-ln(cos(b*x+a))/b^3-I*x*polylog(2,-exp(2*I*(b*x+a)))/b^2+1/2*polylog(3,-exp(2*I*(b*x+a)))/b^3-x*tan(b*x+a)/b^2+1/2*x^2*tan(b*x+a)^2/b,1],
[x*tan(b*x+a)^3,x,7,1/2*x/b-1/2*I*x^2+x*ln(1+exp(2*I*(b*x+a)))/b-1/2*I*polylog(2,-exp(2*I*(b*x+a)))/b^2-1/2*tan(b*x+a)/b^2+1/2*x*tan(b*x+a)^2/b,1],
[tan(b*x+a)^3/x,x,0,Defer(Int)(tan(b*x+a)^3/x,x),0],
[tan(b*x+a)^3/x^2,x,0,Defer(Int)(tan(b*x+a)^3/x^2,x),0],
[x^2/tan(b*x+a)^(3/2)-4*x/b/sqrt(tan(b*x+a))+x^2*sqrt(tan(b*x+a)),x,76,-2*x^2/b/sqrt(tan(b*x+a)),1],
[x^2/sqrt(tan(b*x^2+a))+sqrt(tan(b*x^2+a))/b+x^2*tan(b*x^2+a)^(3/2),x,-1,x*sqrt(tan(b*x^2+a))/b,1],
[(d*x+c)^3/(a+I*a*tan(f*x+e)),x,5,3/8*I*d^3*x/a/f^3-3/8*d*(d*x+c)^2/a/f^2-1/4*I*(d*x+c)^3/a/f+1/8*(d*x+c)^4/a/d-3/8*d^3/f^4/(a+I*a*tan(f*x+e))-3/4*I*d^2*(d*x+c)/f^3/(a+I*a*tan(f*x+e))+3/4*d*(d*x+c)^2/f^2/(a+I*a*tan(f*x+e))+1/2*I*(d*x+c)^3/f/(a+I*a*tan(f*x+e)),1],
[(d*x+c)^2/(a+I*a*tan(f*x+e)),x,4,-1/4*d^2*x/a/f^2-1/4*I*(d*x+c)^2/a/f+1/6*(d*x+c)^3/a/d-1/4*I*d^2/f^3/(a+I*a*tan(f*x+e))+1/2*d*(d*x+c)/f^2/(a+I*a*tan(f*x+e))+1/2*I*(d*x+c)^2/f/(a+I*a*tan(f*x+e)),1],
[(d*x+c)/(a+I*a*tan(f*x+e)),x,3,-1/4*I*d*x/a/f+1/4*(d*x+c)^2/a/d+1/4*d/f^2/(a+I*a*tan(f*x+e))+1/2*I*(d*x+c)/f/(a+I*a*tan(f*x+e)),1],
[1/(d*x+c)/(a+I*a*tan(f*x+e)),x,7,1/2*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/a/d+1/2*ln(d*x+c)/a/d-1/2*I*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/a/d-1/2*I*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a/d-1/2*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a/d,1],
[1/(d*x+c)^2/(a+I*a*tan(f*x+e)),x,7,-I*f*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/a/d^2-f*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/a/d^2-f*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a/d^2+I*f*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a/d^2-1/d/(d*x+c)/(a+I*a*tan(f*x+e)),1],
[1/(d*x+c)^3/(a+I*a*tan(f*x+e)),x,8,-1/2*I*f/a/d^2/(d*x+c)-f^2*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/a/d^3+I*f^2*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/a/d^3+I*f^2*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a/d^3+f^2*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a/d^3-1/2/d/(d*x+c)^2/(a+I*a*tan(f*x+e))+I*f/d^2/(d*x+c)/(a+I*a*tan(f*x+e)),1],
[(d*x+c)^3/(a+I*a*tan(f*x+e))^2,x,10,-3/16*d^3*exp(-2*I*e-2*I*f*x)/a^2/f^4-3/512*d^3*exp(-4*I*e-4*I*f*x)/a^2/f^4-3/8*I*d^2*exp(-2*I*e-2*I*f*x)*(d*x+c)/a^2/f^3-3/128*I*d^2*exp(-4*I*e-4*I*f*x)*(d*x+c)/a^2/f^3+3/8*d*exp(-2*I*e-2*I*f*x)*(d*x+c)^2/a^2/f^2+3/64*d*exp(-4*I*e-4*I*f*x)*(d*x+c)^2/a^2/f^2+1/4*I*exp(-2*I*e-2*I*f*x)*(d*x+c)^3/a^2/f+1/16*I*exp(-4*I*e-4*I*f*x)*(d*x+c)^3/a^2/f+1/16*(d*x+c)^4/a^2/d,1],
[(d*x+c)^2/(a+I*a*tan(f*x+e))^2,x,8,-1/8*I*d^2*exp(-2*I*e-2*I*f*x)/a^2/f^3-1/128*I*d^2*exp(-4*I*e-4*I*f*x)/a^2/f^3+1/4*d*exp(-2*I*e-2*I*f*x)*(d*x+c)/a^2/f^2+1/32*d*exp(-4*I*e-4*I*f*x)*(d*x+c)/a^2/f^2+1/4*I*exp(-2*I*e-2*I*f*x)*(d*x+c)^2/a^2/f+1/16*I*exp(-4*I*e-4*I*f*x)*(d*x+c)^2/a^2/f+1/12*(d*x+c)^3/a^2/d,1],
[(d*x+c)/(a+I*a*tan(f*x+e))^2,x,7,-3/16*I*d*x/a^2/f-1/8*d*x^2/a^2+1/4*x*(d*x+c)/a^2+1/16*d/f^2/(a+I*a*tan(f*x+e))^2+1/4*I*(d*x+c)/f/(a+I*a*tan(f*x+e))^2+3/16*d/f^2/(a^2+I*a^2*tan(f*x+e))+1/4*I*(d*x+c)/f/(a^2+I*a^2*tan(f*x+e)),1],
[1/(d*x+c)/(a+I*a*tan(f*x+e))^2,x,21,1/2*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/a^2/d+1/4*cos(4*e-4*c*f/d)*Ci(4*c*f/d+4*f*x)/a^2/d+1/4*ln(d*x+c)/a^2/d-1/4*I*Ci(4*c*f/d+4*f*x)*sin(4*e-4*c*f/d)/a^2/d-1/2*I*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/a^2/d-1/2*I*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^2/d-1/2*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^2/d-1/4*I*cos(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^2/d-1/4*sin(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^2/d,1],
[1/(d*x+c)^2/(a+I*a*tan(f*x+e))^2,x,24,-1/4/a^2/d/(d*x+c)-1/2*cos(2*f*x+2*e)/a^2/d/(d*x+c)-1/4*cos(2*f*x+2*e)^2/a^2/d/(d*x+c)-I*f*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/a^2/d^2-I*f*cos(4*e-4*c*f/d)*Ci(4*c*f/d+4*f*x)/a^2/d^2-f*Ci(4*c*f/d+4*f*x)*sin(4*e-4*c*f/d)/a^2/d^2-f*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/a^2/d^2+1/2*I*sin(2*f*x+2*e)/a^2/d/(d*x+c)+1/4*sin(2*f*x+2*e)^2/a^2/d/(d*x+c)+1/4*I*sin(4*f*x+4*e)/a^2/d/(d*x+c)-f*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^2/d^2+I*f*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^2/d^2-f*cos(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^2/d^2+I*f*sin(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^2/d^2,1],
[(d*x+c)^3/(a+I*a*tan(f*x+e))^3,x,14,-9/64*d^3*exp(-2*I*e-2*I*f*x)/a^3/f^4-9/1024*d^3*exp(-4*I*e-4*I*f*x)/a^3/f^4-1/1728*d^3*exp(-6*I*e-6*I*f*x)/a^3/f^4-9/32*I*d^2*exp(-2*I*e-2*I*f*x)*(d*x+c)/a^3/f^3-9/256*I*d^2*exp(-4*I*e-4*I*f*x)*(d*x+c)/a^3/f^3-1/288*I*d^2*exp(-6*I*e-6*I*f*x)*(d*x+c)/a^3/f^3+9/32*d*exp(-2*I*e-2*I*f*x)*(d*x+c)^2/a^3/f^2+9/128*d*exp(-4*I*e-4*I*f*x)*(d*x+c)^2/a^3/f^2+1/96*d*exp(-6*I*e-6*I*f*x)*(d*x+c)^2/a^3/f^2+3/16*I*exp(-2*I*e-2*I*f*x)*(d*x+c)^3/a^3/f+3/32*I*exp(-4*I*e-4*I*f*x)*(d*x+c)^3/a^3/f+1/48*I*exp(-6*I*e-6*I*f*x)*(d*x+c)^3/a^3/f+1/32*(d*x+c)^4/a^3/d,1],
[(d*x+c)^2/(a+I*a*tan(f*x+e))^3,x,11,-3/32*I*d^2*exp(-2*I*e-2*I*f*x)/a^3/f^3-3/256*I*d^2*exp(-4*I*e-4*I*f*x)/a^3/f^3-1/864*I*d^2*exp(-6*I*e-6*I*f*x)/a^3/f^3+3/16*d*exp(-2*I*e-2*I*f*x)*(d*x+c)/a^3/f^2+3/64*d*exp(-4*I*e-4*I*f*x)*(d*x+c)/a^3/f^2+1/144*d*exp(-6*I*e-6*I*f*x)*(d*x+c)/a^3/f^2+3/16*I*exp(-2*I*e-2*I*f*x)*(d*x+c)^2/a^3/f+3/32*I*exp(-4*I*e-4*I*f*x)*(d*x+c)^2/a^3/f+1/48*I*exp(-6*I*e-6*I*f*x)*(d*x+c)^2/a^3/f+1/24*(d*x+c)^3/a^3/d,1],
[(d*x+c)/(a+I*a*tan(f*x+e))^3,x,11,-11/96*I*d*x/a^3/f-1/16*d*x^2/a^3+1/8*x*(d*x+c)/a^3+1/36*d/f^2/(a+I*a*tan(f*x+e))^3+1/6*I*(d*x+c)/f/(a+I*a*tan(f*x+e))^3+5/96*d/a/f^2/(a+I*a*tan(f*x+e))^2+1/8*I*(d*x+c)/a/f/(a+I*a*tan(f*x+e))^2+11/96*d/f^2/(a^3+I*a^3*tan(f*x+e))+1/8*I*(d*x+c)/f/(a^3+I*a^3*tan(f*x+e)),1],
[1/(d*x+c)/(a+I*a*tan(f*x+e))^3,x,53,3/8*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/a^3/d+3/8*cos(4*e-4*c*f/d)*Ci(4*c*f/d+4*f*x)/a^3/d+1/8*cos(6*e-6*c*f/d)*Ci(6*c*f/d+6*f*x)/a^3/d+1/8*ln(d*x+c)/a^3/d-1/8*I*Ci(6*c*f/d+6*f*x)*sin(6*e-6*c*f/d)/a^3/d-3/8*I*Ci(4*c*f/d+4*f*x)*sin(4*e-4*c*f/d)/a^3/d-3/8*I*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/a^3/d-3/8*I*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^3/d-3/8*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^3/d-3/8*I*cos(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^3/d-3/8*sin(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^3/d-1/8*I*cos(6*e-6*c*f/d)*Si(6*c*f/d+6*f*x)/a^3/d-1/8*sin(6*e-6*c*f/d)*Si(6*c*f/d+6*f*x)/a^3/d,1],
[1/(d*x+c)^2/(a+I*a*tan(f*x+e))^3,x,60,-1/8/a^3/d/(d*x+c)-9/32*cos(2*f*x+2*e)/a^3/d/(d*x+c)-3/8*cos(2*f*x+2*e)^2/a^3/d/(d*x+c)-1/8*cos(2*f*x+2*e)^3/a^3/d/(d*x+c)-3/32*cos(6*f*x+6*e)/a^3/d/(d*x+c)+3/2*I*f*sin(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^3/d^2-3/4*I*f*cos(6*e-6*c*f/d)*Ci(6*c*f/d+6*f*x)/a^3/d^2-3/4*I*f*cos(2*e-2*c*f/d)*Ci(2*c*f/d+2*f*x)/a^3/d^2-3/4*f*Ci(6*c*f/d+6*f*x)*sin(6*e-6*c*f/d)/a^3/d^2-3/2*f*Ci(4*c*f/d+4*f*x)*sin(4*e-4*c*f/d)/a^3/d^2-3/4*f*Ci(2*c*f/d+2*f*x)*sin(2*e-2*c*f/d)/a^3/d^2+3/4*I*f*sin(6*e-6*c*f/d)*Si(6*c*f/d+6*f*x)/a^3/d^2+3/8*sin(2*f*x+2*e)^2/a^3/d/(d*x+c)-1/8*I*sin(2*f*x+2*e)^3/a^3/d/(d*x+c)+3/4*I*f*sin(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^3/d^2-3/2*I*f*cos(4*e-4*c*f/d)*Ci(4*c*f/d+4*f*x)/a^3/d^2-3/4*f*cos(2*e-2*c*f/d)*Si(2*c*f/d+2*f*x)/a^3/d^2+3/32*I*sin(6*f*x+6*e)/a^3/d/(d*x+c)-3/2*f*cos(4*e-4*c*f/d)*Si(4*c*f/d+4*f*x)/a^3/d^2+3/8*I*sin(4*f*x+4*e)/a^3/d/(d*x+c)-3/4*f*cos(6*e-6*c*f/d)*Si(6*c*f/d+6*f*x)/a^3/d^2+15/32*I*sin(2*f*x+2*e)/a^3/d/(d*x+c),1],
[(d*x+c)^m*(a+I*a*tan(f*x+e))^2,x,0,Defer(Int)((d*x+c)^m*(a+I*a*tan(f*x+e))^2,x),0],
[(d*x+c)^m*(a+I*a*tan(f*x+e)),x,0,Defer(Int)((d*x+c)^m*(a+I*a*tan(f*x+e)),x),0],
[(d*x+c)^m/(a+I*a*tan(f*x+e)),x,2,1/2*(d*x+c)^(1+m)/a/d/(1+m)+I*2^(-2-m)*(d*x+c)^m*GAMMA(1+m,2*I*f*(d*x+c)/d)/a/exp(2*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m/(a+I*a*tan(f*x+e))^2,x,4,1/4*(d*x+c)^(1+m)/a^2/d/(1+m)+I*2^(-2-m)*(d*x+c)^m*GAMMA(1+m,2*I*f*(d*x+c)/d)/a^2/exp(2*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+I*4^(-2-m)*(d*x+c)^m*GAMMA(1+m,4*I*f*(d*x+c)/d)/a^2/exp(4*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^m/(a+I*a*tan(f*x+e))^3,x,5,1/8*(d*x+c)^(1+m)/a^3/d/(1+m)+3*I*2^(-4-m)*(d*x+c)^m*GAMMA(1+m,2*I*f*(d*x+c)/d)/a^3/exp(2*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+3*I*2^(-5-2*m)*(d*x+c)^m*GAMMA(1+m,4*I*f*(d*x+c)/d)/a^3/exp(4*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m)+I*2^(-4-m)*3^(-1-m)*(d*x+c)^m*GAMMA(1+m,6*I*f*(d*x+c)/d)/a^3/exp(6*I*(e-c*f/d))/f/((I*f*(d*x+c)/d)^m),1],
[(d*x+c)^3*(a+b*tan(f*x+e)),x,8,1/4*a*(d*x+c)^4/d+1/4*I*b*(d*x+c)^4/d-b*(d*x+c)^3*ln(1+exp(2*I*(f*x+e)))/f+3/2*I*b*d*(d*x+c)^2*polylog(2,-exp(2*I*(f*x+e)))/f^2-3/2*b*d^2*(d*x+c)*polylog(3,-exp(2*I*(f*x+e)))/f^3-3/4*I*b*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4,1],
[(d*x+c)^2*(a+b*tan(f*x+e)),x,7,1/3*a*(d*x+c)^3/d+1/3*I*b*(d*x+c)^3/d-b*(d*x+c)^2*ln(1+exp(2*I*(f*x+e)))/f+I*b*d*(d*x+c)*polylog(2,-exp(2*I*(f*x+e)))/f^2-1/2*b*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3,1],
[(d*x+c)*(a+b*tan(f*x+e)),x,6,1/2*a*(d*x+c)^2/d+1/2*I*b*(d*x+c)^2/d-b*(d*x+c)*ln(1+exp(2*I*(f*x+e)))/f+1/2*I*b*d*polylog(2,-exp(2*I*(f*x+e)))/f^2,1],
[(a+b*tan(f*x+e))/(d*x+c),x,0,Defer(Int)((a+b*tan(f*x+e))/(d*x+c),x),0],
[(a+b*tan(f*x+e))/(d*x+c)^2,x,0,Defer(Int)((a+b*tan(f*x+e))/(d*x+c)^2,x),0],
[(d*x+c)^3*(a+b*tan(f*x+e))^2,x,15,-I*b^2*(d*x+c)^3/f+1/4*a^2*(d*x+c)^4/d+1/2*I*a*b*(d*x+c)^4/d-1/4*b^2*(d*x+c)^4/d+3*b^2*d*(d*x+c)^2*ln(1+exp(2*I*(f*x+e)))/f^2-2*a*b*(d*x+c)^3*ln(1+exp(2*I*(f*x+e)))/f-3*I*b^2*d^2*(d*x+c)*polylog(2,-exp(2*I*(f*x+e)))/f^3+3*I*a*b*d*(d*x+c)^2*polylog(2,-exp(2*I*(f*x+e)))/f^2+3/2*b^2*d^3*polylog(3,-exp(2*I*(f*x+e)))/f^4-3*a*b*d^2*(d*x+c)*polylog(3,-exp(2*I*(f*x+e)))/f^3-3/2*I*a*b*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4+b^2*(d*x+c)^3*tan(f*x+e)/f,1],
[(d*x+c)^2*(a+b*tan(f*x+e))^2,x,13,-I*b^2*(d*x+c)^2/f+1/3*a^2*(d*x+c)^3/d+2/3*I*a*b*(d*x+c)^3/d-1/3*b^2*(d*x+c)^3/d+2*b^2*d*(d*x+c)*ln(1+exp(2*I*(f*x+e)))/f^2-2*a*b*(d*x+c)^2*ln(1+exp(2*I*(f*x+e)))/f-I*b^2*d^2*polylog(2,-exp(2*I*(f*x+e)))/f^3+2*I*a*b*d*(d*x+c)*polylog(2,-exp(2*I*(f*x+e)))/f^2-a*b*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3+b^2*(d*x+c)^2*tan(f*x+e)/f,1],
[(d*x+c)*(a+b*tan(f*x+e))^2,x,9,1/2*a^2*(d*x+c)^2/d+I*a*b*(d*x+c)^2/d-1/2*b^2*(d*x+c)^2/d-2*a*b*(d*x+c)*ln(1+exp(2*I*(f*x+e)))/f+b^2*d*ln(cos(f*x+e))/f^2+I*a*b*d*polylog(2,-exp(2*I*(f*x+e)))/f^2+b^2*(d*x+c)*tan(f*x+e)/f,1],
[(a+b*tan(f*x+e))^2/(d*x+c),x,0,Defer(Int)((a+b*tan(f*x+e))^2/(d*x+c),x),0],
[(a+b*tan(f*x+e))^2/(d*x+c)^2,x,0,Defer(Int)((a+b*tan(f*x+e))^2/(d*x+c)^2,x),0],
[(d*x+c)^3*(a+b*tan(f*x+e))^3,x,28,-3*I*a*b^2*(d*x+c)^3/f-1/4*I*b^3*(d*x+c)^4/d+1/2*b^3*(d*x+c)^3/f+1/4*a^3*(d*x+c)^4/d+3/4*I*b^3*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4-3/4*a*b^2*(d*x+c)^4/d-3/2*I*b^3*d*(d*x+c)^2*polylog(2,-exp(2*I*(f*x+e)))/f^2-3*b^3*d^2*(d*x+c)*ln(1+exp(2*I*(f*x+e)))/f^3+9*a*b^2*d*(d*x+c)^2*ln(1+exp(2*I*(f*x+e)))/f^2-3*a^2*b*(d*x+c)^3*ln(1+exp(2*I*(f*x+e)))/f+b^3*(d*x+c)^3*ln(1+exp(2*I*(f*x+e)))/f-9*I*a*b^2*d^2*(d*x+c)*polylog(2,-exp(2*I*(f*x+e)))/f^3-9/4*I*a^2*b*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4+3/2*I*b^3*d*(d*x+c)^2/f^2+3/2*I*b^3*d^3*polylog(2,-exp(2*I*(f*x+e)))/f^4+9/2*a*b^2*d^3*polylog(3,-exp(2*I*(f*x+e)))/f^4-9/2*a^2*b*d^2*(d*x+c)*polylog(3,-exp(2*I*(f*x+e)))/f^3+3/2*b^3*d^2*(d*x+c)*polylog(3,-exp(2*I*(f*x+e)))/f^3+3/4*I*a^2*b*(d*x+c)^4/d+9/2*I*a^2*b*d*(d*x+c)^2*polylog(2,-exp(2*I*(f*x+e)))/f^2-3/2*b^3*d*(d*x+c)^2*tan(f*x+e)/f^2+3*a*b^2*(d*x+c)^3*tan(f*x+e)/f+1/2*b^3*(d*x+c)^3*tan(f*x+e)^2/f,1],
[(d*x+c)^2*(a+b*tan(f*x+e))^3,x,22,I*a^2*b*(d*x+c)^3/d+1/2*b^3*(d*x+c)^2/f+1/3*a^3*(d*x+c)^3/d-3*I*a*b^2*(d*x+c)^2/f-a*b^2*(d*x+c)^3/d-I*b^3*d*(d*x+c)*polylog(2,-exp(2*I*(f*x+e)))/f^2+6*a*b^2*d*(d*x+c)*ln(1+exp(2*I*(f*x+e)))/f^2-3*a^2*b*(d*x+c)^2*ln(1+exp(2*I*(f*x+e)))/f+b^3*(d*x+c)^2*ln(1+exp(2*I*(f*x+e)))/f-b^3*d^2*ln(cos(f*x+e))/f^3-1/3*I*b^3*(d*x+c)^3/d-3*I*a*b^2*d^2*polylog(2,-exp(2*I*(f*x+e)))/f^3+3*I*a^2*b*d*(d*x+c)*polylog(2,-exp(2*I*(f*x+e)))/f^2-3/2*a^2*b*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3+1/2*b^3*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3-b^3*d*(d*x+c)*tan(f*x+e)/f^2+3*a*b^2*(d*x+c)^2*tan(f*x+e)/f+1/2*b^3*(d*x+c)^2*tan(f*x+e)^2/f,1],
[(d*x+c)*(a+b*tan(f*x+e))^3,x,16,1/2*b^3*d*x/f+1/2*a^3*(d*x+c)^2/d+3/2*I*a^2*b*(d*x+c)^2/d-3/2*a*b^2*(d*x+c)^2/d-1/2*I*b^3*(d*x+c)^2/d-3*a^2*b*(d*x+c)*ln(1+exp(2*I*(f*x+e)))/f+b^3*(d*x+c)*ln(1+exp(2*I*(f*x+e)))/f+3*a*b^2*d*ln(cos(f*x+e))/f^2+3/2*I*a^2*b*d*polylog(2,-exp(2*I*(f*x+e)))/f^2-1/2*I*b^3*d*polylog(2,-exp(2*I*(f*x+e)))/f^2-1/2*b^3*d*tan(f*x+e)/f^2+3*a*b^2*(d*x+c)*tan(f*x+e)/f+1/2*b^3*(d*x+c)*tan(f*x+e)^2/f,1],
[(a+b*tan(f*x+e))^3/(d*x+c),x,0,Defer(Int)((a+b*tan(f*x+e))^3/(d*x+c),x),0],
[(a+b*tan(f*x+e))^3/(d*x+c)^2,x,0,Defer(Int)((a+b*tan(f*x+e))^3/(d*x+c)^2,x),0],
[(d*x+c)^3/(a+b*tan(f*x+e)),x,6,1/4*(d*x+c)^4/(a+I*b)/d+b*(d*x+c)^3*ln(1+(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f-3/2*I*b*d*(d*x+c)^2*polylog(2,-(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f^2+3/2*b*d^2*(d*x+c)*polylog(3,-(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f^3+3/4*I*b*d^3*polylog(4,-(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f^4,1],
[(d*x+c)^2/(a+b*tan(f*x+e)),x,5,1/3*(d*x+c)^3/(a+I*b)/d+b*(d*x+c)^2*ln(1+(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f-I*b*d*(d*x+c)*polylog(2,-(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f^2+1/2*b*d^2*polylog(3,-(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f^3,1],
[(d*x+c)/(a+b*tan(f*x+e)),x,4,1/2*(d*x+c)^2/(a+I*b)/d+b*(d*x+c)*ln(1+(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f-1/2*I*b*d*polylog(2,-(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)/f^2,1],
[1/(d*x+c)/(a+b*tan(f*x+e)),x,0,Defer(Int)(1/(d*x+c)/(a+b*tan(f*x+e)),x),0],
[1/(d*x+c)^2/(a+b*tan(f*x+e)),x,0,Defer(Int)(1/(d*x+c)^2/(a+b*tan(f*x+e)),x),0],
[(d*x+c)^3/(a+b*tan(f*x+e))^2,x,21,-3*I*b^2*d^2*(d*x+c)*polylog(2,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^3+2*b^2*(d*x+c)^3/(a+I*b)/(I*a+b)^2/(I*a-b+(I*a+b)*exp(2*I*e+2*I*f*x))/f+1/4*(d*x+c)^4/(a-I*b)^2/d+b*(d*x+c)^4/(I*a-b)/(a-I*b)^2/d-b^2*(d*x+c)^4/(a^2+b^2)^2/d+3*b^2*d*(d*x+c)^2*ln(1+(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^2+2*b*(d*x+c)^3*ln(1+(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a-I*b)^2/(a+I*b)/f-3*I*b^2*d^2*(d*x+c)*polylog(3,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^3-2*I*b^2*(d*x+c)^3/(a^2+b^2)^2/f+3*b*d*(d*x+c)^2*polylog(2,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(I*a-b)/(a-I*b)^2/f^2-3*b^2*d*(d*x+c)^2*polylog(2,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^2+3/2*b^2*d^3*polylog(3,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^4+3*b*d^2*(d*x+c)*polylog(3,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a-I*b)^2/(a+I*b)/f^3-2*I*b^2*(d*x+c)^3*ln(1+(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f-3/2*b*d^3*polylog(4,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(I*a-b)/(a-I*b)^2/f^4+3/2*b^2*d^3*polylog(4,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^4,1],
[(d*x+c)^2/(a+b*tan(f*x+e))^2,x,18,-2*I*b^2*(d*x+c)^2/(a^2+b^2)^2/f+2*b^2*(d*x+c)^2/(a+I*b)/(I*a+b)^2/(I*a-b+(I*a+b)*exp(2*I*e+2*I*f*x))/f+1/3*(d*x+c)^3/(a-I*b)^2/d+4/3*b*(d*x+c)^3/(I*a-b)/(a-I*b)^2/d-4/3*b^2*(d*x+c)^3/(a^2+b^2)^2/d+2*b^2*d*(d*x+c)*ln(1+(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^2+2*b*(d*x+c)^2*ln(1+(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a-I*b)^2/(a+I*b)/f-2*I*b^2*(d*x+c)^2*ln(1+(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f-I*b^2*d^2*polylog(2,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^3+2*b*d*(d*x+c)*polylog(2,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(I*a-b)/(a-I*b)^2/f^2-2*b^2*d*(d*x+c)*polylog(2,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^2+b*d^2*polylog(3,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a-I*b)^2/(a+I*b)/f^3-I*b^2*d^2*polylog(3,-(a-I*b)*exp(2*I*e+2*I*f*x)/(a+I*b))/(a^2+b^2)^2/f^3,1],
[(d*x+c)/(a+b*tan(f*x+e))^2,x,5,-1/2*(d*x+c)^2/(a^2+b^2)/d+1/4*(2*a*d*f*x+2*a*c*f+b*d)^2/a/(a+I*b)/(a^2+b^2)/d/f^2+b*(2*a*d*f*x+2*a*c*f+b*d)*ln(1+(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)^2/f^2-I*a*b*d*polylog(2,-(a^2+b^2)*exp(2*I*(f*x+e))/(a+I*b)^2)/(a^2+b^2)^2/f^2-b*(d*x+c)/(a^2+b^2)/f/(a+b*tan(f*x+e)),1],
[1/(d*x+c)/(a+b*tan(f*x+e))^2,x,0,Defer(Int)(1/(d*x+c)/(a+b*tan(f*x+e))^2,x),0],
[1/(d*x+c)^2/(a+b*tan(f*x+e))^2,x,0,Defer(Int)(1/(d*x+c)^2/(a+b*tan(f*x+e))^2,x),0]]: