I don't mean to post more than one math problem in a thread but I've been trying to work on these problems and other sites haven't been giving adequate feedback..., if anyone can also explain how you choose your limits of integration?

Find the area of it encloses.

1.) r = 5(1 + cos(θ))

2.) Find the area of the region enclosed by one loop of the curve.

r = sin(10θ)

3.) Find the area of the region that lies inside both curves.

r= 4 + 3sin(θ)

r= 4 + 3cos(θ)