Oh, and using maple is definitely cheating!
Ooh, I like special points! I'll do this instead of study chem. Hurray!
So I thought I had it like three different times before realizing I had substituted something incorrectly. So I give up for now, but not forever. His Awesomeness, Josh Hunsberger
I'm almost certain that it can be done with trig, but every attempt I have made has always turned into a horrible, horrible integral. You'd have to abuse some obscure identities to work out the powers of tangent and secant, I think.
Yeah, I got sec^5 and sec^3 involved, but it's hard from there.
