For , find the area of the region that lies inside the curve and outside the curve…

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

Problem

For

0\le \theta \le \pi

, find the area of the region that lies inside the curve

r=3\sin\theta

and outside the curve

r=\sin\theta

. (a)

4\pi

(b)

\pi

(c)

2\pi

(d)

\dfrac{9\pi}{4}