For one arch of the cycloid defined by and on

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

Problem

For one arch of the cycloid defined by

x(t)=t-\sin t

and

y(t)=1-\cos t

0\le t\le2\pi

, find the exact area enclosed between the cycloid and the

x

–axis.