Question

integral

Answer 1

\[\int\limits_{?}^{?}(x ^{2}+1)e ^{-x}\] what do i make u= and dv=

Answer 2

\[\int e^{-x}x^2dx+\int e^x dx\]
let:
u= x^2 dv=e^(-x)dx
du= 2x dx v=-e^(-x)

you'll have to integrate by parts again,
u= x dv=e^-x
du=dx v=-e^-x
after that round, you'll be good to go.

Answer 3

-e^(-x)*x^2-2e^(-x)*x-3e^(-x)+C
will be your final answer