5.5 The Substitution Rule/53

$\int _{0}^{1}x^{2}(1+2x^{3})^{5}dr$

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} u &=1+2x^3 \\[2ex] \end{align} }

${\begin{aligned}du&=6x^{2}dx\\[2ex]\end{aligned}}$

${\begin{aligned}\int _{1}^{3}u^{5}\\[2ex]\end{aligned}}$