lst:=[[x^5*(a+b*csc(d*x^2+c)),x,10,1/6*a*x^6-b*x^4*arctanh(exp(I*(d*x^2+c)))/d+I*b*x^2*polylog(2,-exp(I*(d*x^2+c)))/d^2-I*b*x^2*polylog(2,exp(I*(d*x^2+c)))/d^2-b*polylog(3,-exp(I*(d*x^2+c)))/d^3+b*polylog(3,exp(I*(d*x^2+c)))/d^3,1],
[x^4*(a+b*csc(d*x^2+c)),x,2,1/5*a*x^5+b*Defer(Int)(x^4*csc(d*x^2+c),x),0],
[x^3*(a+b*csc(d*x^2+c)),x,8,1/4*a*x^4-b*x^2*arctanh(exp(I*(d*x^2+c)))/d+1/2*I*b*polylog(2,-exp(I*(d*x^2+c)))/d^2-1/2*I*b*polylog(2,exp(I*(d*x^2+c)))/d^2,1],
[x^2*(a+b*csc(d*x^2+c)),x,2,1/3*a*x^3+b*Defer(Int)(x^2*csc(d*x^2+c),x),0],
[x*(a+b*csc(d*x^2+c)),x,4,1/2*a*x^2-1/2*b*arctanh(cos(d*x^2+c))/d,1],
[(a+b*csc(d*x^2+c))/x,x,2,a*ln(x)+b*Defer(Int)(csc(d*x^2+c)/x,x),0],
[(a+b*csc(d*x^2+c))/x^2,x,2,-a/x+b*Defer(Int)(csc(d*x^2+c)/x^2,x),0],
[x^5*(a+b*csc(d*x^2+c))^2,x,15,-1/2*I*b^2*x^4/d+1/6*a^2*x^6-2*a*b*x^4*arctanh(exp(I*(d*x^2+c)))/d-1/2*b^2*x^4*cot(d*x^2+c)/d+b^2*x^2*ln(1-exp(2*I*(d*x^2+c)))/d^2+2*I*a*b*x^2*polylog(2,-exp(I*(d*x^2+c)))/d^2-2*I*a*b*x^2*polylog(2,exp(I*(d*x^2+c)))/d^2-1/2*I*b^2*polylog(2,exp(2*I*(d*x^2+c)))/d^3-2*a*b*polylog(3,-exp(I*(d*x^2+c)))/d^3+2*a*b*polylog(3,exp(I*(d*x^2+c)))/d^3,1],
[x^4*(a+b*csc(d*x^2+c))^2,x,0,Defer(Int)(x^4*(a+b*csc(d*x^2+c))^2,x),0],
[x^3*(a+b*csc(d*x^2+c))^2,x,10,1/4*a^2*x^4-2*a*b*x^2*arctanh(exp(I*(d*x^2+c)))/d-1/2*b^2*x^2*cot(d*x^2+c)/d+1/2*b^2*ln(sin(d*x^2+c))/d^2+I*a*b*polylog(2,-exp(I*(d*x^2+c)))/d^2-I*a*b*polylog(2,exp(I*(d*x^2+c)))/d^2,1],
[x^2*(a+b*csc(d*x^2+c))^2,x,0,Defer(Int)(x^2*(a+b*csc(d*x^2+c))^2,x),0],
[x*(a+b*csc(d*x^2+c))^2,x,5,1/2*a^2*x^2-a*b*arctanh(cos(d*x^2+c))/d-1/2*b^2*cot(d*x^2+c)/d,1],
[(a+b*csc(d*x^2+c))^2/x,x,0,Defer(Int)((a+b*csc(d*x^2+c))^2/x,x),0],
[(a+b*csc(d*x^2+c))^2/x^2,x,0,Defer(Int)((a+b*csc(d*x^2+c))^2/x^2,x),0],
[x*csc(b*x^2+a)^7,x,5,-5/32*arctanh(cos(b*x^2+a))/b-5/32*cot(b*x^2+a)*csc(b*x^2+a)/b-5/48*cot(b*x^2+a)*csc(b*x^2+a)^3/b-1/12*cot(b*x^2+a)*csc(b*x^2+a)^5/b,1],
[x^5/(a+b*csc(d*x^2+c)),x,13,1/6*x^6/a+1/2*I*b*x^4*ln(1-I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d-1/2*I*b*x^4*ln(1-I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d+b*x^2*polylog(2,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-b*x^2*polylog(2,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2+I*b*polylog(3,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-I*b*polylog(3,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3,1],
[x^4/(a+b*csc(d*x^2+c)),x,0,Defer(Int)(x^4/(a+b*csc(d*x^2+c)),x),0],
[x^3/(a+b*csc(d*x^2+c)),x,11,1/4*x^4/a+1/2*I*b*x^2*ln(1-I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d-1/2*I*b*x^2*ln(1-I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d+1/2*b*polylog(2,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-1/2*b*polylog(2,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2,1],
[x^2/(a+b*csc(d*x^2+c)),x,0,Defer(Int)(x^2/(a+b*csc(d*x^2+c)),x),0],
[x/(a+b*csc(d*x^2+c)),x,5,1/2*x^2/a+b*arctanh((a+b*tan(1/2*d*x^2+1/2*c))/sqrt(a^2-b^2))/a/sqrt(a^2-b^2)/d,1],
[1/x/(a+b*csc(d*x^2+c)),x,0,Defer(Int)(1/x/(a+b*csc(d*x^2+c)),x),0],
[(a+b*csc(d*x^2+c))/x^2,x,2,-a/x+b*Defer(Int)(csc(d*x^2+c)/x^2,x),0],
[x^5/(a+b*csc(d*x^2+c))^2,x,31,-1/2*I*b^2*x^4/a^2/(a^2-b^2)/d+1/6*x^6/a^2+b^2*x^2*ln(1+a*exp(I*(d*x^2+c))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+b^2*x^2*ln(1+a*exp(I*(d*x^2+c))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2-2*I*b*polylog(3,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3-I*b^2*polylog(2,-a*exp(I*(d*x^2+c))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3+I*b^3*polylog(3,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3+1/2*I*b^3*x^4*ln(1-I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-I*b^3*polylog(3,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-1/2*I*b^3*x^4*ln(1-I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-b^3*x^2*polylog(2,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+2*b*x^2*polylog(2,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+b^3*x^2*polylog(2,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2-2*b*x^2*polylog(2,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+2*I*b*polylog(3,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3-I*b*x^4*ln(1-I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+I*b*x^4*ln(1-I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d-I*b^2*polylog(2,-a*exp(I*(d*x^2+c))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3-1/2*b^2*x^4*cos(d*x^2+c)/a/(a^2-b^2)/d/(b+a*sin(d*x^2+c)),1],
[x^4/(a+b*csc(d*x^2+c))^2,x,0,Defer(Int)(x^4/(a+b*csc(d*x^2+c))^2,x),0],
[x^3/(a+b*csc(d*x^2+c))^2,x,22,1/4*x^4/a^2-1/2*I*b^3*x^2*ln(1-I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d+I*b*x^2*ln(1-I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+1/2*I*b^3*x^2*ln(1-I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-I*b*x^2*ln(1-I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+1/2*b^2*ln(b+a*sin(d*x^2+c))/a^2/(a^2-b^2)/d^2-1/2*b^3*polylog(2,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+b*polylog(2,I*a*exp(I*(d*x^2+c))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+1/2*b^3*polylog(2,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2-b*polylog(2,I*a*exp(I*(d*x^2+c))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2-1/2*b^2*x^2*cos(d*x^2+c)/a/(a^2-b^2)/d/(b+a*sin(d*x^2+c)),1],
[x^2/(a+b*csc(d*x^2+c))^2,x,0,Defer(Int)(x^2/(a+b*csc(d*x^2+c))^2,x),0],
[x/(a+b*csc(d*x^2+c))^2,x,7,1/2*x^2/a^2+b*(2*a^2-b^2)*arctanh((a+b*tan(1/2*d*x^2+1/2*c))/sqrt(a^2-b^2))/a^2/(a^2-b^2)^(3/2)/d-1/2*b^2*cot(d*x^2+c)/a/(a^2-b^2)/d/(a+b*csc(d*x^2+c)),1],
[1/x/(a+b*csc(d*x^2+c))^2,x,0,Defer(Int)(1/x/(a+b*csc(d*x^2+c))^2,x),0],
[1/x^2/(a+b*csc(d*x^2+c))^2,x,0,Defer(Int)(1/x^2/(a+b*csc(d*x^2+c))^2,x),0],
[1/x^3/(a+b*csc(d*x^2+c))^2,x,0,Defer(Int)(1/x^3/(a+b*csc(d*x^2+c))^2,x),0],
[x^3*(a+b*csc(c+d*sqrt(x))),x,20,1/4*a*x^4-4*b*x^(7/2)*arctanh(exp(I*(c+d*sqrt(x))))/d-14*I*b*x^3*polylog(2,exp(I*(c+d*sqrt(x))))/d^2+10080*I*b*polylog(8,exp(I*(c+d*sqrt(x))))/d^8-84*b*x^(5/2)*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+84*b*x^(5/2)*polylog(3,exp(I*(c+d*sqrt(x))))/d^3+14*I*b*x^3*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-420*I*b*x^2*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4+1680*b*x^(3/2)*polylog(5,-exp(I*(c+d*sqrt(x))))/d^5-1680*b*x^(3/2)*polylog(5,exp(I*(c+d*sqrt(x))))/d^5+420*I*b*x^2*polylog(4,exp(I*(c+d*sqrt(x))))/d^4-10080*I*b*polylog(8,-exp(I*(c+d*sqrt(x))))/d^8-10080*b*sqrt(x)*polylog(7,-exp(I*(c+d*sqrt(x))))/d^7+10080*b*sqrt(x)*polylog(7,exp(I*(c+d*sqrt(x))))/d^7+5040*I*b*x*polylog(6,-exp(I*(c+d*sqrt(x))))/d^6-5040*I*b*x*polylog(6,exp(I*(c+d*sqrt(x))))/d^6,1],
[x^2*(a+b*csc(c+d*sqrt(x))),x,16,1/3*a*x^3-4*b*x^(5/2)*arctanh(exp(I*(c+d*sqrt(x))))/d+10*I*b*x^2*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-10*I*b*x^2*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-40*b*x^(3/2)*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+40*b*x^(3/2)*polylog(3,exp(I*(c+d*sqrt(x))))/d^3-120*I*b*x*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4+120*I*b*x*polylog(4,exp(I*(c+d*sqrt(x))))/d^4+240*b*sqrt(x)*polylog(5,-exp(I*(c+d*sqrt(x))))/d^5-240*b*sqrt(x)*polylog(5,exp(I*(c+d*sqrt(x))))/d^5+240*I*b*polylog(6,-exp(I*(c+d*sqrt(x))))/d^6-240*I*b*polylog(6,exp(I*(c+d*sqrt(x))))/d^6,1],
[x*(a+b*csc(c+d*sqrt(x))),x,12,1/2*a*x^2-4*b*x^(3/2)*arctanh(exp(I*(c+d*sqrt(x))))/d+6*I*b*x*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-6*I*b*x*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-12*b*sqrt(x)*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+12*b*sqrt(x)*polylog(3,exp(I*(c+d*sqrt(x))))/d^3-12*I*b*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4+12*I*b*polylog(4,exp(I*(c+d*sqrt(x))))/d^4,1],
[(a+b*csc(c+d*sqrt(x)))/x,x,2,a*ln(x)+b*Defer(Int)(csc(c+d*sqrt(x))/x,x),0],
[(a+b*csc(c+d*sqrt(x)))/x^2,x,2,-a/x+b*Defer(Int)(csc(c+d*sqrt(x))/x^2,x),0],
[x^3*(a+b*csc(c+d*sqrt(x)))^2,x,30,1/4*a^2*x^4-3360*a*b*x^(3/2)*polylog(5,exp(I*(c+d*sqrt(x))))/d^5+210*I*b^2*x^(3/2)*polylog(4,exp(2*I*(c+d*sqrt(x))))/d^5+168*a*b*x^(5/2)*polylog(3,exp(I*(c+d*sqrt(x))))/d^3-42*I*b^2*x^(5/2)*polylog(2,exp(2*I*(c+d*sqrt(x))))/d^3-315*b^2*x*polylog(5,exp(2*I*(c+d*sqrt(x))))/d^6+105*b^2*x^2*polylog(3,exp(2*I*(c+d*sqrt(x))))/d^4-20160*I*a*b*polylog(8,-exp(I*(c+d*sqrt(x))))/d^8+3360*a*b*x^(3/2)*polylog(5,-exp(I*(c+d*sqrt(x))))/d^5-168*a*b*x^(5/2)*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+315/2*b^2*polylog(7,exp(2*I*(c+d*sqrt(x))))/d^8+10080*I*a*b*x*polylog(6,-exp(I*(c+d*sqrt(x))))/d^6-840*I*a*b*x^2*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4+28*I*a*b*x^3*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-10080*I*a*b*x*polylog(6,exp(I*(c+d*sqrt(x))))/d^6+840*I*a*b*x^2*polylog(4,exp(I*(c+d*sqrt(x))))/d^4-28*I*a*b*x^3*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-8*a*b*x^(7/2)*arctanh(exp(I*(c+d*sqrt(x))))/d-20160*a*b*sqrt(x)*polylog(7,-exp(I*(c+d*sqrt(x))))/d^7+20160*a*b*sqrt(x)*polylog(7,exp(I*(c+d*sqrt(x))))/d^7-315*I*b^2*sqrt(x)*polylog(6,exp(2*I*(c+d*sqrt(x))))/d^7+20160*I*a*b*polylog(8,exp(I*(c+d*sqrt(x))))/d^8-2*I*b^2*x^(7/2)/d+14*b^2*x^3*ln(1-exp(2*I*(c+d*sqrt(x))))/d^2-2*b^2*x^(7/2)*cot(c+d*sqrt(x))/d,1],
[x^2*(a+b*csc(c+d*sqrt(x)))^2,x,24,-480*I*a*b*polylog(6,exp(I*(c+d*sqrt(x))))/d^6+1/3*a^2*x^3-8*a*b*x^(5/2)*arctanh(exp(I*(c+d*sqrt(x))))/d-2*b^2*x^(5/2)*cot(c+d*sqrt(x))/d+10*b^2*x^2*ln(1-exp(2*I*(c+d*sqrt(x))))/d^2+30*I*b^2*sqrt(x)*polylog(4,exp(2*I*(c+d*sqrt(x))))/d^5+480*I*a*b*polylog(6,-exp(I*(c+d*sqrt(x))))/d^6-240*I*a*b*x*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4-80*a*b*x^(3/2)*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+80*a*b*x^(3/2)*polylog(3,exp(I*(c+d*sqrt(x))))/d^3+30*b^2*x*polylog(3,exp(2*I*(c+d*sqrt(x))))/d^4-20*I*a*b*x^2*polylog(2,exp(I*(c+d*sqrt(x))))/d^2+20*I*a*b*x^2*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-20*I*b^2*x^(3/2)*polylog(2,exp(2*I*(c+d*sqrt(x))))/d^3+480*a*b*sqrt(x)*polylog(5,-exp(I*(c+d*sqrt(x))))/d^5-480*a*b*sqrt(x)*polylog(5,exp(I*(c+d*sqrt(x))))/d^5-15*b^2*polylog(5,exp(2*I*(c+d*sqrt(x))))/d^6-2*I*b^2*x^(5/2)/d+240*I*a*b*x*polylog(4,exp(I*(c+d*sqrt(x))))/d^4,1],
[x*(a+b*csc(c+d*sqrt(x)))^2,x,18,-2*I*b^2*x^(3/2)/d+1/2*a^2*x^2-8*a*b*x^(3/2)*arctanh(exp(I*(c+d*sqrt(x))))/d-2*b^2*x^(3/2)*cot(c+d*sqrt(x))/d+6*b^2*x*ln(1-exp(2*I*(c+d*sqrt(x))))/d^2+12*I*a*b*x*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-12*I*a*b*x*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-6*I*b^2*sqrt(x)*polylog(2,exp(2*I*(c+d*sqrt(x))))/d^3-24*a*b*sqrt(x)*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+24*a*b*sqrt(x)*polylog(3,exp(I*(c+d*sqrt(x))))/d^3+3*b^2*polylog(3,exp(2*I*(c+d*sqrt(x))))/d^4-24*I*a*b*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4+24*I*a*b*polylog(4,exp(I*(c+d*sqrt(x))))/d^4,1],
[(a+b*csc(c+d*sqrt(x)))^2/x,x,0,Defer(Int)((a+b*csc(c+d*sqrt(x)))^2/x,x),0],
[(a+b*csc(c+d*sqrt(x)))^2/x^2,x,0,Defer(Int)((a+b*csc(c+d*sqrt(x)))^2/x^2,x),0],
[x^3/(a+b*csc(c+d*sqrt(x))),x,23,1/4*x^4/a-10080*I*b*sqrt(x)*polylog(7,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^7+84*I*b*x^(5/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3+14*b*x^3*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-14*b*x^3*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-2*I*b*x^(7/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d+2*I*b*x^(7/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d-420*b*x^2*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4+420*b*x^2*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4+10080*I*b*sqrt(x)*polylog(7,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^7-84*I*b*x^(5/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3+5040*b*x*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^6-5040*b*x*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^6+1680*I*b*x^(3/2)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^5-1680*I*b*x^(3/2)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^5-10080*b*polylog(8,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^8+10080*b*polylog(8,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^8,1],
[x^2/(a+b*csc(c+d*sqrt(x))),x,19,1/3*x^3/a+2*I*b*x^(5/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d-2*I*b*x^(5/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d+10*b*x^2*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-10*b*x^2*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2+40*I*b*x^(3/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-40*I*b*x^(3/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-120*b*x*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4+120*b*x*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4-240*I*b*sqrt(x)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^5+240*I*b*sqrt(x)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^5+240*b*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^6-240*b*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^6,1],
[x/(a+b*csc(c+d*sqrt(x))),x,15,1/2*x^2/a+2*I*b*x^(3/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d-2*I*b*x^(3/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d+6*b*x*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-6*b*x*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2+12*I*b*sqrt(x)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-12*I*b*sqrt(x)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-12*b*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4+12*b*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4,1],
[1/x/(a+b*csc(c+d*sqrt(x))),x,0,Defer(Int)(1/x/(a+b*csc(c+d*sqrt(x))),x),0],
[(a+b*csc(c+d*sqrt(x)))/x^2,x,2,-a/x+b*Defer(Int)(csc(c+d*sqrt(x))/x^2,x),0],
[x^3/(a+b*csc(c+d*sqrt(x)))^2,x,61,-2*I*b^2*x^(7/2)/a^2/(a^2-b^2)/d+1/4*x^4/a^2+14*b^2*x^3*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+14*b^2*x^3*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2-5040*b^3*x*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^6+420*b^2*x^2*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4-5040*b^2*x*polylog(5,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^6-4*I*b*x^(7/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+4*I*b*x^(7/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d-20160*I*b*sqrt(x)*polylog(7,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^7+20160*I*b*sqrt(x)*polylog(7,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^7+10080*I*b^3*sqrt(x)*polylog(7,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^7-10080*I*b^3*sqrt(x)*polylog(7,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^7-10080*I*b^2*sqrt(x)*polylog(6,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^7-10080*I*b^2*sqrt(x)*polylog(6,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^7+84*I*b^3*x^(5/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-84*I*b^3*x^(5/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-2*b^2*x^(7/2)*cos(c+d*sqrt(x))/a/(a^2-b^2)/d/(b+a*sin(c+d*sqrt(x)))-168*I*b*x^(5/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3+168*I*b*x^(5/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3+3360*I*b*x^(3/2)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^5-3360*I*b*x^(3/2)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^5-2*I*b^3*x^(7/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-1680*I*b^3*x^(3/2)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^5+1680*I*b^3*x^(3/2)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^5+1680*I*b^2*x^(3/2)*polylog(4,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^5+1680*I*b^2*x^(3/2)*polylog(4,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^5-84*I*b^2*x^(5/2)*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3-84*I*b^2*x^(5/2)*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3+2*I*b^3*x^(7/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d+10080*b^2*polylog(7,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^8+10080*b^2*polylog(7,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^8-14*b^3*x^3*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+5040*b^3*x*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^6+420*b^2*x^2*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4-5040*b^2*x*polylog(5,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^6+10080*b*x*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^6+28*b*x^3*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2-10080*b*x*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^6-28*b*x^3*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+840*b*x^2*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4-10080*b^3*polylog(8,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^8+10080*b^3*polylog(8,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^8+20160*b*polylog(8,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^8-20160*b*polylog(8,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^8-840*b*x^2*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4+14*b^3*x^3*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2-420*b^3*x^2*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4+420*b^3*x^2*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4,1],
[x^2/(a+b*csc(c+d*sqrt(x)))^2,x,49,120*b^3*x*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4+10*b^3*x^2*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2-10*b^3*x^2*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+1/3*x^3/a^2+10*b^2*x^2*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+10*b^2*x^2*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2-480*I*b*sqrt(x)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^5+240*I*b^2*sqrt(x)*polylog(4,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^5+240*I*b^2*sqrt(x)*polylog(4,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^5-240*I*b^3*sqrt(x)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^5+80*I*b*x^(3/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3-4*I*b*x^(5/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+4*I*b*x^(5/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+480*I*b*sqrt(x)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^5+240*I*b^3*sqrt(x)*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^5+40*I*b^3*x^(3/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-40*I*b^3*x^(3/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-2*b^2*x^(5/2)*cos(c+d*sqrt(x))/a/(a^2-b^2)/d/(b+a*sin(c+d*sqrt(x)))-80*I*b*x^(3/2)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3-40*I*b^2*x^(3/2)*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3-40*I*b^2*x^(3/2)*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3+2*I*b^3*x^(5/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-2*I*b^3*x^(5/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d+120*b^2*x*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4+480*b*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^6-2*I*b^2*x^(5/2)/a^2/(a^2-b^2)/d-120*b^3*x*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4+120*b^2*x*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4-240*b^2*polylog(5,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^6-240*b^2*polylog(5,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^6+240*b^3*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^6-240*b^3*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^6-480*b*polylog(6,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^6-240*b*x*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4-20*b*x^2*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+20*b*x^2*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+240*b*x*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4,1],
[x/(a+b*csc(c+d*sqrt(x)))^2,x,37,-2*I*b^2*x^(3/2)/a^2/(a^2-b^2)/d-6*b^3*x*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+12*b*x*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2-12*b*x*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+6*b^3*x*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+24*b*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4-24*b*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4+1/2*x^2/a^2+2*I*b^3*x^(3/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-2*I*b^3*x^(3/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-2*b^2*x^(3/2)*cos(c+d*sqrt(x))/a/(a^2-b^2)/d/(b+a*sin(c+d*sqrt(x)))-4*I*b*x^(3/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+4*I*b*x^(3/2)*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d-12*I*b^2*sqrt(x)*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3-12*I*b^2*sqrt(x)*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3+12*I*b^3*sqrt(x)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-12*I*b^3*sqrt(x)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-24*I*b*sqrt(x)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3+24*I*b*sqrt(x)*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3+6*b^2*x*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+6*b^2*x*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+12*b^2*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4+12*b^2*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4-12*b^3*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4+12*b^3*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4,1],
[1/x/(a+b*csc(c+d*sqrt(x)))^2,x,0,Defer(Int)(1/x/(a+b*csc(c+d*sqrt(x)))^2,x),0],
[1/x^2/(a+b*csc(c+d*sqrt(x)))^2,x,0,Defer(Int)(1/x^2/(a+b*csc(c+d*sqrt(x)))^2,x),0],
[x^(3/2)*(a+b*csc(c+d*sqrt(x))),x,14,2/5*a*x^(5/2)-4*b*x^2*arctanh(exp(I*(c+d*sqrt(x))))/d+8*I*b*x^(3/2)*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-8*I*b*x^(3/2)*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-24*b*x*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+24*b*x*polylog(3,exp(I*(c+d*sqrt(x))))/d^3-48*I*b*sqrt(x)*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4+48*I*b*sqrt(x)*polylog(4,exp(I*(c+d*sqrt(x))))/d^4+48*b*polylog(5,-exp(I*(c+d*sqrt(x))))/d^5-48*b*polylog(5,exp(I*(c+d*sqrt(x))))/d^5,1],
[sqrt(x)*(a+b*csc(c+d*sqrt(x))),x,10,2/3*a*x^(3/2)-4*b*x*arctanh(exp(I*(c+d*sqrt(x))))/d+4*I*b*sqrt(x)*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-4*I*b*sqrt(x)*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-4*b*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+4*b*polylog(3,exp(I*(c+d*sqrt(x))))/d^3,1],
[(a+b*csc(c+d*sqrt(x)))/sqrt(x),x,4,2*a*sqrt(x)-2*b*arctanh(cos(c+d*sqrt(x)))/d,1],
[(a+b*csc(c+d*sqrt(x)))/x^(3/2),x,2,-2*a/sqrt(x)+b*Defer(Int)(csc(c+d*sqrt(x))/x^(3/2),x),0],
[(a+b*csc(c+d*sqrt(x)))/x^(5/2),x,2,-2/3*a/x^(3/2)+b*Defer(Int)(csc(c+d*sqrt(x))/x^(5/2),x),0],
[x^(3/2)*(a+b*csc(c+d*sqrt(x)))^2,x,21,96*I*a*b*sqrt(x)*polylog(4,exp(I*(c+d*sqrt(x))))/d^4+2/5*a^2*x^(5/2)-8*a*b*x^2*arctanh(exp(I*(c+d*sqrt(x))))/d-2*b^2*x^2*cot(c+d*sqrt(x))/d+8*b^2*x^(3/2)*ln(1-exp(2*I*(c+d*sqrt(x))))/d^2-2*I*b^2*x^2/d+6*I*b^2*polylog(4,exp(2*I*(c+d*sqrt(x))))/d^5-16*I*a*b*x^(3/2)*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-48*a*b*x*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+48*a*b*x*polylog(3,exp(I*(c+d*sqrt(x))))/d^3+12*b^2*sqrt(x)*polylog(3,exp(2*I*(c+d*sqrt(x))))/d^4-12*I*b^2*x*polylog(2,exp(2*I*(c+d*sqrt(x))))/d^3-96*I*a*b*sqrt(x)*polylog(4,-exp(I*(c+d*sqrt(x))))/d^4+16*I*a*b*x^(3/2)*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2+96*a*b*polylog(5,-exp(I*(c+d*sqrt(x))))/d^5-96*a*b*polylog(5,exp(I*(c+d*sqrt(x))))/d^5,1],
[sqrt(x)*(a+b*csc(c+d*sqrt(x)))^2,x,15,-2*I*b^2*x/d+2/3*a^2*x^(3/2)-8*a*b*x*arctanh(exp(I*(c+d*sqrt(x))))/d-2*b^2*x*cot(c+d*sqrt(x))/d+4*b^2*sqrt(x)*ln(1-exp(2*I*(c+d*sqrt(x))))/d^2+8*I*a*b*sqrt(x)*polylog(2,-exp(I*(c+d*sqrt(x))))/d^2-8*I*a*b*sqrt(x)*polylog(2,exp(I*(c+d*sqrt(x))))/d^2-2*I*b^2*polylog(2,exp(2*I*(c+d*sqrt(x))))/d^3-8*a*b*polylog(3,-exp(I*(c+d*sqrt(x))))/d^3+8*a*b*polylog(3,exp(I*(c+d*sqrt(x))))/d^3,1],
[(a+b*csc(c+d*sqrt(x)))^2/sqrt(x),x,5,2*a^2*sqrt(x)-4*a*b*arctanh(cos(c+d*sqrt(x)))/d-2*b^2*cot(c+d*sqrt(x))/d,1],
[(a+b*csc(c+d*sqrt(x)))^2/x^(3/2),x,0,Defer(Int)((a+b*csc(c+d*sqrt(x)))^2/x^(3/2),x),0],
[(a+b*csc(c+d*sqrt(x)))^2/x^(5/2),x,0,Defer(Int)((a+b*csc(c+d*sqrt(x)))^2/x^(5/2),x),0],
[csc(sqrt(x))^3/sqrt(x),x,3,-arctanh(cos(sqrt(x)))-cot(sqrt(x))*csc(sqrt(x)),1],
[x^(3/2)/(a+b*csc(c+d*sqrt(x))),x,17,2/5*x^(5/2)/a+2*I*b*x^2*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d-2*I*b*x^2*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d+8*b*x^(3/2)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-8*b*x^(3/2)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2+24*I*b*x*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-24*I*b*x*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-48*b*sqrt(x)*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4+48*b*sqrt(x)*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^4-48*I*b*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^5+48*I*b*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^5,1],
[sqrt(x)/(a+b*csc(c+d*sqrt(x))),x,13,2/3*x^(3/2)/a+2*I*b*x*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d-2*I*b*x*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d+4*b*sqrt(x)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2-4*b*sqrt(x)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2+4*I*b*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3-4*I*b*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3,1],
[1/sqrt(x)/(a+b*csc(c+d*sqrt(x))),x,5,2*sqrt(x)/a+4*b*arctanh((a+b*tan(1/2*c+1/2*d*sqrt(x)))/sqrt(a^2-b^2))/a/sqrt(a^2-b^2)/d,1],
[1/x^(3/2)/(a+b*csc(c+d*sqrt(x))),x,0,Defer(Int)(1/x^(3/2)/(a+b*csc(c+d*sqrt(x))),x),0],
[1/x^(5/2)/(a+b*csc(c+d*sqrt(x))),x,0,Defer(Int)(1/x^(5/2)/(a+b*csc(c+d*sqrt(x))),x),0],
[x^(3/2)/(a+b*csc(c+d*sqrt(x)))^2,x,43,8*b^2*x^(3/2)*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+8*b^2*x^(3/2)*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+96*I*b*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^5-16*b*x^(3/2)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+16*b*x^(3/2)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2-96*I*b*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^5+96*b*sqrt(x)*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4-2*I*b^2*x^2/a^2/(a^2-b^2)/d-48*I*b^3*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^5+48*I*b^2*polylog(4,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^5-96*b*sqrt(x)*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^4+48*b^2*sqrt(x)*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4+48*b^2*sqrt(x)*polylog(3,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^4-48*b^3*sqrt(x)*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4+48*b^3*sqrt(x)*polylog(4,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^4+48*I*b^2*polylog(4,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^5+8*b^3*x^(3/2)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2-8*b^3*x^(3/2)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+48*I*b^3*polylog(5,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^5-24*I*b^2*x*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3-24*I*b^2*x*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3+2*I*b^3*x^2*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-2*I*b^3*x^2*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d+24*I*b^3*x*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-24*I*b^3*x*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-2*b^2*x^2*cos(c+d*sqrt(x))/a/(a^2-b^2)/d/(b+a*sin(c+d*sqrt(x)))-4*I*b*x^2*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+4*I*b*x^2*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d-48*I*b*x*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3+48*I*b*x*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3+2/5*x^(5/2)/a^2,1],
[sqrt(x)/(a+b*csc(c+d*sqrt(x)))^2,x,31,-4*I*b*x*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d+2/3*x^(3/2)/a^2+4*b^2*sqrt(x)*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2+4*b^2*sqrt(x)*ln(1+a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2-4*I*b^3*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-4*I*b^2*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3+2*I*b^3*x*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d+4*I*b*x*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d-8*I*b*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3-4*I*b^2*polylog(2,-a*exp(I*(c+d*sqrt(x)))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3-4*b^3*sqrt(x)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2+8*b*sqrt(x)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+4*b^3*sqrt(x)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2-8*b*sqrt(x)*polylog(2,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2+4*I*b^3*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3-2*I*b^2*x/a^2/(a^2-b^2)/d+8*I*b*polylog(3,I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3-2*I*b^3*x*ln(1-I*a*exp(I*(c+d*sqrt(x)))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d-2*b^2*x*cos(c+d*sqrt(x))/a/(a^2-b^2)/d/(b+a*sin(c+d*sqrt(x))),1],
[1/sqrt(x)/(a+b*csc(c+d*sqrt(x)))^2,x,7,2*sqrt(x)/a^2+4*b*(2*a^2-b^2)*arctanh((a+b*tan(1/2*c+1/2*d*sqrt(x)))/sqrt(a^2-b^2))/a^2/(a^2-b^2)^(3/2)/d-2*b^2*cot(c+d*sqrt(x))/a/(a^2-b^2)/d/(a+b*csc(c+d*sqrt(x))),1],
[1/x^(3/2)/(a+b*csc(c+d*sqrt(x)))^2,x,0,Defer(Int)(1/x^(3/2)/(a+b*csc(c+d*sqrt(x)))^2,x),0],
[1/x^(5/2)/(a+b*csc(c+d*sqrt(x)))^2,x,0,Defer(Int)(1/x^(5/2)/(a+b*csc(c+d*sqrt(x)))^2,x),0],
[(e*x)^m*(a+b*csc(c+d*x^n))^p,x,1,(e*x)^m*Defer(Int)(x^m*(a+b*csc(c+d*x^n))^p,x)/(x^m),0],
[(e*x)^(-1+n)*(a+b*csc(c+d*x^n)),x,5,a*(e*x)^n/e/n-b*(e*x)^n*arctanh(cos(c+d*x^n))/d/e/n/(x^n),1],
[(e*x)^(-1+2*n)*(a+b*csc(c+d*x^n)),x,9,1/2*a*(e*x)^(2*n)/e/n-2*b*(e*x)^(2*n)*arctanh(exp(I*(c+d*x^n)))/d/e/n/(x^n)+I*b*(e*x)^(2*n)*polylog(2,-exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n))-I*b*(e*x)^(2*n)*polylog(2,exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n)),1],
[(e*x)^(-1+3*n)*(a+b*csc(c+d*x^n)),x,11,1/3*a*(e*x)^(3*n)/e/n-2*b*(e*x)^(3*n)*arctanh(exp(I*(c+d*x^n)))/d/e/n/(x^n)+2*I*b*(e*x)^(3*n)*polylog(2,-exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n))-2*I*b*(e*x)^(3*n)*polylog(2,exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n))-2*b*(e*x)^(3*n)*polylog(3,-exp(I*(c+d*x^n)))/d^3/e/n/(x^(3*n))+2*b*(e*x)^(3*n)*polylog(3,exp(I*(c+d*x^n)))/d^3/e/n/(x^(3*n)),1],
[(e*x)^(-1+n)*(a+b*csc(c+d*x^n))^2,x,6,a^2*(e*x)^n/e/n-2*a*b*(e*x)^n*arctanh(cos(c+d*x^n))/d/e/n/(x^n)-b^2*(e*x)^n*cot(c+d*x^n)/d/e/n/(x^n),1],
[(e*x)^(-1+2*n)*(a+b*csc(c+d*x^n))^2,x,11,1/2*a^2*(e*x)^(2*n)/e/n-4*a*b*(e*x)^(2*n)*arctanh(exp(I*(c+d*x^n)))/d/e/n/(x^n)-b^2*(e*x)^(2*n)*cot(c+d*x^n)/d/e/n/(x^n)+b^2*(e*x)^(2*n)*ln(sin(c+d*x^n))/d^2/e/n/(x^(2*n))+2*I*a*b*(e*x)^(2*n)*polylog(2,-exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n))-2*I*a*b*(e*x)^(2*n)*polylog(2,exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n)),1],
[(e*x)^(-1+3*n)*(a+b*csc(c+d*x^n))^2,x,16,1/3*a^2*(e*x)^(3*n)/e/n-I*b^2*(e*x)^(3*n)/d/e/n/(x^n)-4*a*b*(e*x)^(3*n)*arctanh(exp(I*(c+d*x^n)))/d/e/n/(x^n)-b^2*(e*x)^(3*n)*cot(c+d*x^n)/d/e/n/(x^n)+2*b^2*(e*x)^(3*n)*ln(1-exp(2*I*(c+d*x^n)))/d^2/e/n/(x^(2*n))+4*I*a*b*(e*x)^(3*n)*polylog(2,-exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n))-4*I*a*b*(e*x)^(3*n)*polylog(2,exp(I*(c+d*x^n)))/d^2/e/n/(x^(2*n))-I*b^2*(e*x)^(3*n)*polylog(2,exp(2*I*(c+d*x^n)))/d^3/e/n/(x^(3*n))-4*a*b*(e*x)^(3*n)*polylog(3,-exp(I*(c+d*x^n)))/d^3/e/n/(x^(3*n))+4*a*b*(e*x)^(3*n)*polylog(3,exp(I*(c+d*x^n)))/d^3/e/n/(x^(3*n)),1],
[(e*x)^(-1+n)/(a+b*csc(c+d*x^n)),x,6,(e*x)^n/a/e/n+2*b*(e*x)^n*arctanh((a+b*tan(1/2*c+1/2*d*x^n))/sqrt(a^2-b^2))/a/sqrt(a^2-b^2)/d/e/n/(x^n),1],
[(e*x)^(-1+2*n)/(a+b*csc(c+d*x^n)),x,12,1/2*(e*x)^(2*n)/a/e/n+I*b*(e*x)^(2*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d/e/n/(x^n)-I*b*(e*x)^(2*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d/e/n/(x^n)+b*(e*x)^(2*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n))-b*(e*x)^(2*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n)),1],
[(e*x)^(-1+3*n)/(a+b*csc(c+d*x^n)),x,14,1/3*(e*x)^(3*n)/a/e/n+I*b*(e*x)^(3*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d/e/n/(x^n)-I*b*(e*x)^(3*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d/e/n/(x^n)+2*b*(e*x)^(3*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n))-2*b*(e*x)^(3*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n))+2*I*b*(e*x)^(3*n)*polylog(3,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3/e/n/(x^(3*n))-2*I*b*(e*x)^(3*n)*polylog(3,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a/sqrt(-a^2+b^2)/d^3/e/n/(x^(3*n)),1],
[(e*x)^(-1+n)/(a+b*csc(c+d*x^n))^2,x,8,(e*x)^n/a^2/e/n+2*b*(2*a^2-b^2)*(e*x)^n*arctanh((a+b*tan(1/2*c+1/2*d*x^n))/sqrt(a^2-b^2))/a^2/(a^2-b^2)^(3/2)/d/e/n/(x^n)-b^2*(e*x)^n*cot(c+d*x^n)/a/(a^2-b^2)/d/e/n/(x^n)/(a+b*csc(c+d*x^n)),1],
[(e*x)^(-1+2*n)/(a+b*csc(c+d*x^n))^2,x,23,1/2*(e*x)^(2*n)/a^2/e/n-I*b^3*(e*x)^(2*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d/e/n/(x^n)+2*I*b*(e*x)^(2*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d/e/n/(x^n)+I*b^3*(e*x)^(2*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d/e/n/(x^n)-2*I*b*(e*x)^(2*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d/e/n/(x^n)+b^2*(e*x)^(2*n)*ln(b+a*sin(c+d*x^n))/a^2/(a^2-b^2)/d^2/e/n/(x^(2*n))-b^3*(e*x)^(2*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2/e/n/(x^(2*n))+2*b*(e*x)^(2*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n))+b^3*(e*x)^(2*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2/e/n/(x^(2*n))-2*b*(e*x)^(2*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n))-b^2*(e*x)^(2*n)*cos(c+d*x^n)/a/(a^2-b^2)/d/e/n/(x^n)/(b+a*sin(c+d*x^n)),1],
[(e*x)^(-1+3*n)/(a+b*csc(c+d*x^n))^2,x,32,1/3*(e*x)^(3*n)/a^2/e/n-I*b^2*(e*x)^(3*n)/a^2/(a^2-b^2)/d/e/n/(x^n)+2*b^2*(e*x)^(3*n)*ln(1+a*exp(I*(c+d*x^n))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2/e/n/(x^(2*n))+2*b^2*(e*x)^(3*n)*ln(1+a*exp(I*(c+d*x^n))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^2/e/n/(x^(2*n))-2*I*b*(e*x)^(3*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d/e/n/(x^n)-4*I*b*(e*x)^(3*n)*polylog(3,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3/e/n/(x^(3*n))+2*I*b^3*(e*x)^(3*n)*polylog(3,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3/e/n/(x^(3*n))+4*I*b*(e*x)^(3*n)*polylog(3,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^3/e/n/(x^(3*n))-I*b^3*(e*x)^(3*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d/e/n/(x^n)+I*b^3*(e*x)^(3*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d/e/n/(x^n)-2*b^3*(e*x)^(3*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2/e/n/(x^(2*n))+4*b*(e*x)^(3*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n))+2*b^3*(e*x)^(3*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^2/e/n/(x^(2*n))-4*b*(e*x)^(3*n)*polylog(2,I*a*exp(I*(c+d*x^n))/(b+sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d^2/e/n/(x^(2*n))-2*I*b^3*(e*x)^(3*n)*polylog(3,I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/(-a^2+b^2)^(3/2)/d^3/e/n/(x^(3*n))-2*I*b^2*(e*x)^(3*n)*polylog(2,-a*exp(I*(c+d*x^n))/(I*b-sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3/e/n/(x^(3*n))-2*I*b^2*(e*x)^(3*n)*polylog(2,-a*exp(I*(c+d*x^n))/(I*b+sqrt(a^2-b^2)))/a^2/(a^2-b^2)/d^3/e/n/(x^(3*n))+2*I*b*(e*x)^(3*n)*ln(1-I*a*exp(I*(c+d*x^n))/(b-sqrt(-a^2+b^2)))/a^2/sqrt(-a^2+b^2)/d/e/n/(x^n)-b^2*(e*x)^(3*n)*cos(c+d*x^n)/a/(a^2-b^2)/d/e/n/(x^n)/(b+a*sin(c+d*x^n)),1]]: