Question

How do you integrate `int 2x^3cosx^2` by parts?

Answer 1

Note that `int2x^3cosx^2 dx= 2 int x^3cosx^2 dx`, so this answer will also answer this question. https://socratic.org/questions/what-is-the-integral-of-x-3-cos-x-2-dx#243038

Explanation:

You should get

`x^2sin(x^2)+cos(x^2) +C`.

(Check the answer by differentiating.)