In the first quadrant

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

Problem

In the first quadrant, the curve

r=4\cos\theta

and the vertical line

x=1

bound a region. Determine the exact area of the portion of this region that lies inside the curve and to the right of the line.