5.3 The Fundamental Theorem of Calculus/23

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} \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{align} }