Find The Area Bounded by the following curves
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THE LATEX IS AWESOME IN MHF NOW!!!
Well, I would first like to point out that what you have written aren't curves but just one curve defined parametrically. It's called a cycloid.
Anyway, I guess you'd like the area between it and the x-axis.
Just take the integral as always, but rewrite with theta:
Now you can solve this any way you like.