This post is more of a public service announcement more than anything else, so be forwarned.
For the last several days, I had to evaluate more integrals and derivatives than I’ve done in the last seven years combined. Needless to say, I was a bit rusty at first.
To my delight, I’ve discovered the quality of math applications on the Internet is astounding. The best that I’ve found is located here. It’s Vanderbilt University’s Mathserv Toolkit. It will help you with nearly any calculus related problem. I used it to calculate definite integrals. Less useful, but also handy is Wolfram’s Integrator. It will solve integrals for you symbolically, if possible.
Both run off a Mathematica kernel. You may not need this information today, but keep it in mind for when you need to integrate over some crazy function.