Primitive of Power of x over Power of Power of x minus Power of a

Theorem

 * $\displaystyle \int \frac {x^m \ \mathrm d x} {\left({x^n - a^n}\right)^r} = a^n \int \frac {x^{m - n} \ \mathrm d x} {\left({x^n - a^n}\right)^r} + \int \frac {x^{m - n} \ \mathrm d x} {\left({x^n - a^n}\right)^{r - 1} }$