I've run into a couple of integrals I didn't know how to solve. I managed to find the solution to only one of them (INTEGRAL 1/sin x = - ln |csc x + cot x| + C)
I'd like help with the following, (kind of urgent - doing some tutoring and need to clear up stuff like this in case it comes up):
1. INTEGRAL 1/sin^2 (x)
2. INTEGRAL 1/cos^2 (x)
I'm guessing the solutions for both are similar..and I'm assuming there may be a formula for integrals such as sin^- n (x) (or cos), but I'm mostly interested in the exponent - 2.
Thanks in advance to anyone who gives it a shot!
Yeah, I can figure as much... but it's the SOLVING part that I'm not sure of. Obviously, 1/sin x = csc x, so if I know the integral of one, I know the other... I guess I could have reformulated my question to read INTEGRAL csc^2 (x) and INTEGRAL sec^2 (x)..but the solving of those integrals is what I need help with. Links to solutions or solutions themselves are fine.
Thanks for helping!