The polar curves and intersect at and

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The polar curves

r = 2+\sin\theta

and

r = 2-\sin\theta

intersect at

\theta = 0

and

\theta = \pi

. Calculate the exact area of the region bounded by the two curves for

0\le \theta \le 2\pi