How do you integrate (indefinite) the product of two distinct terms, both containing x?

I’ve got a really weird dilemma. I have to learn how to indefinitely integrate things with two distinct terms.

So like the indefinite integral of x^2 times the cos(x^3) is something I would need to be able to do. Is there some sort of a product rule in reverse for integration?

And yes, I need to know how to do this for my homework, all of you who will freak out and go “DO YOUR OWN HOMEWORK!!!!” I want to learn the concept, not get an answer for my homework, so please, if you can help, do so. I’m not a lazy kid that just wants to put an answer down – this stuff isn’t even graded.