Calculate the exact area of the region bounded by the curves and for where the two…

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 bounded by the curves

r=3\cos\theta

and

r=3\sin\theta

for

0\le \theta\le \dfrac{\pi}{4}

where the two curves intersect.