3.1 Integrals 1 to 13

\(\int (d+e x^n)^q (c d-c e x^n) (c d^2-c e^2 x^{2 n})^p \, dx\) [1]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2 (A+B x^n+C x^{2 n})}{a+c x^{2 n}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{(d+e x^n) (A+B x^n+C x^{2 n})}{a+c x^{2 n}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{a+c x^{2 n}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(d+e x^n) (a+c x^{2 n})} \, dx\) [5]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(d+e x^n)^2 (a+c x^{2 n})} \, dx\) [6]
\(\int (d+e x^n)^q (c d-b e-c e x^n) (c d^2-b d e-b e^2 x^n-c e^2 x^{2 n})^p \, dx\) [7]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2 (A+B x^n+C x^{2 n})}{a+b x^n+c x^{2 n}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{(d+e x^n) (A+B x^n+C x^{2 n})}{a+b x^n+c x^{2 n}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{a+b x^n+c x^{2 n}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [11]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [12]
\(\int \genfrac {}{}{}{}{2 a+b x^2}{\sqrt [4]{a+b x^2} (a+b x^2+c x^4)} \, dx\) [13]