A region is enclosed by the curve

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

Problem

r=1+\cos\theta

, the circle

r=1

, and the rays

\theta=0

and

\theta=\tfrac{\pi}{2}

. Write, but do not evaluate, a definite integral whose value equals the area of this region.