Primitive function/Roots/Via primitive function of inverse mapping/Exercise

Let ${}n\in \mathbb {N} _{+}$. Determine an antiderivative of the function

$\mathbb {R} _{+}\longrightarrow \mathbb {R} _{+},x\longmapsto x^{1/n},$

using the antiderivative of ${}x^{n}$ and the theorem about integration of inverse function.

Create a solution