Question

Evaluate:
$\int x^2.e^{-2}dx$

Answer 1

$\int x^2{e}^{-2}dx$

$=e^{-2}\int x^{2}dx$

$=e^{-2}\left(\frac{x^3}{3}\right)+c$

$=\frac{x^3}{3e^2}+c$