# Maple integration test file: "4 Trig functions\4.6 Cosecant\4.6.4.2 (a+b csc)^m (d csc)^n (A+B csc+C csc^2).txt"

lst:=[

# Integrands of the form (a+b Csc[e+f x])^m (d Csc[e+f x])^n (A+B Csc[e+f x]+C Csc[e+f x]^2)

# Integrands of the form (d Csc[e+f x])^n (a+b Csc[e+f x])^m (A+C Csc[e+f x]^2)

# Integrands of the form (d Csc[e+f x])^n (a+b Csc[e+f x])^m (B Csc[e+f x]+C Csc[e+f x]^2)

# Integrands of the form (d Csc[e+f x])^n (a+b Csc[e+f x])^m (A+B Csc[e+f x]+C Csc[e+f x]^2)

# Integrands of the form (d Csc[e+f x])^(n/2) (a+b Csc[e+f x])^m (A+B Csc[e+f x]+C Csc[e+f x]^2)
[(a+b*csc(x))*(A+B*csc(x)+C*csc(x)^2)/csc(x)^(1/2),x,7,-2/3*b*C*cos(x)*csc(x)^(3/2)-2*(b*B+a*C)*cos(x)*sqrt(csc(x))+2*(b*B-a*(A-C))*sqrt(cos(1/4*Pi-1/2*x)^2)/cos(1/4*Pi-1/2*x)*EllipticE(sin(1/4*Pi-1/2*x),sqrt(2))*sqrt(csc(x))*sqrt(sin(x))-2/3*(3*A*b+3*a*B+b*C)*sqrt(cos(1/4*Pi-1/2*x)^2)/cos(1/4*Pi-1/2*x)*EllipticF(sin(1/4*Pi-1/2*x),sqrt(2))*sqrt(csc(x))*sqrt(sin(x))]]:
