5.3 The Fundamental Theorem of Calculus/23
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Revision as of 20:51, 6 September 2022 by Dvaezazizi@laalliance.org (talk | contribs) (Protected "5.3 The Fundamental Theorem of Calculus/23" ([Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite)))
![{\displaystyle {\begin{aligned}\int _{0}^{1}x^{\frac {4}{5}}dx&={\frac {x^{{\frac {4}{5}}+1}}{{\frac {4}{5}}+1}}{\bigg |}_{0}^{1}={\frac {x^{\frac {9}{5}}}{\frac {9}{5}}}{\bigg |}_{0}^{1}\\[2ex]&={\frac {5{\sqrt[{5}]{(1)^{9}}}}{9}}-{\frac {5{\sqrt[{5}]{(0)^{9}}}}{9}}\\[2ex]&={\cfrac {5}{9}}\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/774736d97463fe1002a3f48b30252b6f2192833e)