Some more areas with polar stuff

Sorry for spamming everybody, but I keep getting the wrong answer and I don't know what I'm doing wrong, or if I'm even doing it right in the first place!

Find the area between a large loop and the enclosed small loop of the given curve.
r = 1 + 2cos(3θ)


aaaand this one:

Find the area of the region that lies inside both curves.
r = 6 + cos(θ)
r = 6 - cos(θ)


I love you for helping me!!!!

What was the nature of the integrals that you used? In particular, what were the limits of integration on ?

For the second, same quesiton. The limits are very important. You must understand your curve.

Note for Both: Please don't work harder than necessary. Exploit every possible symmetry.