3.1 Integrals 1 to 5

\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{4}} (-a h+c f x^{n/4}+c g x^{3 n/4}+c h x^n)}{(a+c x^n)^{3/2}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{(d x)^{-1+\genfrac {}{}{}{}{n}{4}} (-a h+c f x^{n/4}+c g x^{3 n/4}+c h x^n)}{(a+c x^n)^{3/2}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}} (-a h+c f x^{n/2}+c g x^{3 n/2}+c h x^{2 n})}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{(d x)^{-1+\genfrac {}{}{}{}{n}{2}} (-a h+c f x^{n/2}+c g x^{3 n/2}+c h x^{2 n})}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [4]
\(\int (g x)^m (a+b x^n+c x^{2 n})^p (a (1+m)+b (1+m+n+n p) x^n+c (1+m+2 n (1+p)) x^{2 n}) \, dx\) [5]