HintHi all...working on coming up with the surface area of a cycloid. I'll spare you the process of getting there, but what I've come up with is this integral:
The a is a positive constant defined in the original question.
I don't know how to solve that integral, though. I've played around with some identities in hopes of finding one that would help but I haven't come up with anything. What's the solution to this one?