\(\begin{align*} \int \sqrt[4]x.dx \end{align*}\)

Connaissances:

  • Primitive de \(x^n\)

\(\begin{align*} I & = \int \sqrt[4]x.dx  \\
& = \int x^{1/4}dx \\
& = \frac{4}{5}x^{5/4}+C \end{align*}\)

\[\boxed {\begin{align*} I & = \frac{4}{5}x^{5/4}+C(\in \mathbb R) \end{align*}}\]