How do you find the antiderivative of $int (xe^(x^2)) dx$ ?

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Answer 1 · 2016-10-26T21:02:27

$int(xe^(x^2))dx=1/2e^(x^2)+C$

now $d/(dx)(e^(x^2))=2xe^(x^2)$

since integration is the reverse of differentiation, by comparing teh above with integral to find.

$int(xe^(x^2))dx=1/2e^(x^2)+C$

How do you find the antiderivative of int (xe^(x^2)) dxint (xe^(x^2)) dx?