Question

solve

Answer 1

\[\int\limits(xe^x)dx\]

Answer 2

try integration by parts

Answer 3

?

Answer 4

u don't know??

Answer 5

OK. let's try it out.

Answer 6

\[ \begin{alignat*}{2}
u&=x &\qquad dv&=e^x\,dx\\
du&=dx&\qquad v&=\int e^x\,dx=e^x
\end{alignat*} \]

Answer 7

then
\[ \large \int xe^x\,dx=xe^x-\int e^x\,dx=xe^x-e^x=e^x(x-1)+C \]

Answer 8

got it??

Answer 9

yes thanks