∫ 0 1 x 4 5 d x 5 ∗ x 4 5 9 5 ∗ x 4 5 9 | 0 1 5 ∗ 1 4 1 5 9 − 5 ∗ 0 0 4 5 9 {\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]&{\cfrac {5*{\sqrt[{1^{5}}]{1^{4}}}}{9}}-{\cfrac {5*0{\sqrt[{5}]{0^{4}}}}{9}}\end{aligned}}}