Question

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

Answer 1

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

Explanation:

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`