5.5 The Substitution Rule/53

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

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

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

${\begin{aligned}\int _{1}^{3}u^{5}{\frac {1}{6}}du\\[2ex]\end{aligned}}$

Failed to parse (unknown function "\begin{align}"): {\displaystyle \begin{align} \frac{1}{36} (1+2x^3)^6 <math> \begin{align} &= \frac{1}{6} \int_{1}^{3} u^5 du \\[2ex] \end{align} }