∫ 0 1 x 4 5 d x 5 x 4 5 9 5 x 4 5 9 | 0 1 {\displaystyle {\begin{aligned}&\int _{0}^{1}x^{\cfrac {4}{5}}dx\\[2ex]&{\cfrac {5{\sqrt[{5}]{x^{4}}}}{9}}\\[2ex]&{\cfrac {5{\sqrt[{5}]{x^{4}}}}{9}}{\bigg |}_{0}^{1}\\[2ex]&\end{aligned}}}
![{\displaystyle {\begin{aligned}&\int _{0}^{1}x^{\cfrac {4}{5}}dx\\[2ex]&{\cfrac {5{\sqrt[{5}]{x^{4}}}}{9}}\\[2ex]&{\cfrac {5{\sqrt[{5}]{x^{4}}}}{9}}{\bigg |}_{0}^{1}\\[2ex]&\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/2b59776a73acad18b5a12b450e418b0997ff2623)