Calculate the exact area of the region that lies between the curves and for .

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

Problem

Calculate the exact area of the region that lies between the curves

r = 4\sin \theta

and

r = 2\sin \theta

for

0 \leq \theta \leq \pi