Question

Evaluate:

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

Answer 1

Now,

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

$=x^2{e}^x-\int e^x\left(2x\right)dx$$+\int e^x\left(2x\right)dx$ [ Using method of by parts]

$=x^2{e}^x+c$. [ Where $c$ is integrating constant]