7.1 Integration By Parts/52

${\begin{aligned}&\int {}^{}x^{4}e^{x}&\int {}^{}x^{n}e^{x}dx=x^{n}e^{x}-n\int {}^{}x^{n-1}e^{x}dx&x^{4}e^{x}-4\int {}^{}x^{3}e^{x}dx\end{aligned}}$