Primitive of Function of Nth Root of a x + b

Theorem

 * $\displaystyle \int F \left({\sqrt [n] {a x + b}}\right) \ \mathrm d x = \frac n a \int u^{n-1} F \left({u}\right) \ \mathrm d u$

where $u = \sqrt [n] {a x + b}$.