Math stuff: doing integrals on a TI-83

[splashpot]

So I have a TI-83. I know there are newer ones, but this is the calculator I've been using since freshman year of high school.

I have a Differential Equations exam in a couple of weeks and the professor said we could use the calculator to pump out integrals fast. Except I'm not sure how to do this.

This is not a course on how to do integrals, we're already supposed to know how to do that. But the exam is designed in a way that doing the integrals the slow way is a waste of time. He's testing us on the methods of solving the differential equations, not how to do integrals.

So is there anyone who can guide me through how to do this on a TI-83. For example, the integral of (x^(2)e^(x)) is solvable via integration by parts. Now what calculator function do I use to get the answer on the TI-83? Thanks.