3.1 Integrals 1 to 1

\(\int (a+b x^n)^p (c+d x^n)^q (e+f x^n)^r (a c e+(b c e (1+n+n p)+a d e (1+n+n q)+a c f (1+n+n r)) x^n+(b d e (1+n (2+p+q))+b c f (1+n (2+p+r))+a d f (1+n (2+q+r))) x^{2 n}+b d f (1+n (3+p+q+r)) x^{3 n}) \, dx\) [1]