How do you find the antiderivative of #x[e^(x^2)]#?
Use substitution with
I see that the question was posted under "Integration by Parts", but we can find this integral using u substitution.
With this substitution, we get:
# = 1/2 e^u +C#
# = 1/2e^(x^2) +C#
Check the answer by differentiating.
Note The integral
Note 2 I have assumed here that I can use "integral" in place of "antiderivative" without loss of understanding.