The definite integral of theta times sqrt(1-cos(2theta) evaluated from 0 to pi/2.
Again with this one, it looks like it'd be an integration by parts problem since there's two unrelated things being multiplied, but the square root seems to make that method almost impossible. Could somebody clue me in on where to begin with this one?
Ahhh, that makes perfect sense, it's always simple algebra things like that that I don't even think of! Thanks a lot man! Just to make sure I'm on the right track, after what you've told me I'll be left with sqrt(2)times the integral of thetasin(theta), using u as theta and dv as sin(theta), correct?
Now since it's a definite integral, at the very last step of the problem when I'm left with sqrt(2) times theta(cos(theta)+sin(theta), do I plug in the values for ALL theta's present or just the sin theta since it's the only part that was still an integral?
I believe I'd plug it in for ALL thetas and my final answer would be 1.4142 etc...can anyone confirm or deny this?
Thanks a lot by the way jhevon