Question

Find the area of the region enclosed by the inner loop of the curve.
r = 2 + 4 sin(θ)

The answer I got was -4sqrt(3) but thats wrong.

Answer 1

unlikely that the area is negative...

Answer 2

i totally forget how to do this, but i think your main step is to find the limits of integration

Answer 3

for the inner loop, start where \(r=0\) so \[\theta=\frac{7\pi}{6}\](i think)