Hey, I have a crappy community college professor and apparently I am not smart enough to figure out the parts she didn't teach. the definite inegral of (ln x)^2 - 1 (part of a geometry problem) from e^-1 to e I tried this: [(x ln x - x)^3]/3 - x And got 2.48, but looking at the graph it looks like it should be about 1.5. This is just a homework problem, but none of the class can get it. I also have another question on a different problem. a definite integral from -.5 to .5 SQRT[1-(2 cos (pi*x))^2] I got as far as SQRT[1 - 4pi^2sin^2(pi*x) and I have NO idea how to integrate that. None of the class could figure out this one either. My calculus teacher is about 75 years old, and she shouldn't be teaching, I feel like I haven't learned anything except what I have taught myself. Thank you for any help!