Question

Solve:
$\int (e^x+1{)}^2{e}^{x}dx$

Answer 1

Let $I=$\int{(e^x+1)^2e^xdx}$

Let $e^x+1=Z$

So, $e^{x}dx=dZ$

So, $I=\int Z^{2}dZ=\frac{z^3}{3}$

$I=\frac{(e^x+1^3)}{3}+c$