Question

Evaluate $\int e^x(x^2+2x)dx$

Answer 1

$\int e^x(x^2+2x)dx$

It is of the form $\int e^x\left(f\right(x)+f^{\prime }(x\left)\right)dx=e^{x}f\left(x\right)+c$

So $⟹x^2{e}^x+c$