Question

the indefinite integral of (x)e^(x^2)

Answer 1

\[\int\limits_{}^{}xe ^{x ^{2}}\]\[u=x^2\]\[du=2x\]\[\frac{ du }{ 2 }=xdx\]Now that we have made a substitution, we can now evaluate our new integral with respect to u.\[\frac{ 1 }{ 2 }\int\limits_{}^{}e^udu\]Can you go from there? :)

Answer 2

can you continue from there please:)

Answer 3

Do you know \[\int\limits_{}^{}e^udu\]

Answer 4

e^u right?

Answer 5

+C

Answer 6

awesome thank you so much.

Answer 7

So now plug back in your U and don't forget the 1/2 at the begining ;) Medal? :)

Answer 8

yepp!

Answer 9

so how would i solve the integral of xe^x

Answer 10

Integration by parts