Determine the exact area enclosed by the curve for .

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

Problem

Determine the exact area enclosed by the curve

r = 2 + 2\cos\theta

for

0 \le \theta \le \dfrac{\pi}{2}

. (a)

\dfrac{3\pi}{2} + 5

(b)

3\pi + 8

(c)

\dfrac{3\pi}{2} + 4

(d)

3\pi