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^\cfrac{4}{5}dx \\[2ex] &\cfrac{5\cdot \sqrt[5]{x^4}}{9} \\[2ex] &\cfrac{5\cdot \sqrt[5]{x^4}}{9}\bigg|_{0}^{1} \\[2ex] &\cfrac{5\cdot \sqrt[1^5]{1^4}}{9}-\cfrac{5\cdot0 \sqrt[5]{0^4}}{9} \\[2ex] &=\cfrac{5}{9} \end{align} }