Question

how to integrate xe^-x^2 with integration substitution?

Answer 1

try \(u=-x^2,du=-2xdx,-\frac{1}{2}du=xdx\) and you are done in pretty much one step

Answer 2

you get
\[-\frac{1}{2}\int e^udu\]

Answer 3

oh right!
thank you!

Answer 4

and since \(e^u\) is its own anti derivative, you ge t
\[-\frac{1}{2}e^{-x^2}\]
soon you will be able to do these in your head

Answer 5

yw