5.5 The Substitution Rule/2

$\int x^{3}(2+x^{4})^{5}dx{\text{,}}\quad u=2+x^{4}$

${\begin{aligned}{\text{Given }}u&=2+x^{4}\\[2ex]{\text{then }}du&=4x^{3}dx\\[2ex]{\frac {1}{4}}du&=x^{3}dx\end{aligned}}$

$du=(4x^{3})\,dx$

${\frac {du}{4}}=x^{3}dx$

$\int x^{3}(2+x^{4})^{5}dx=\int$