The curve is given parametrically by and for

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

Problem

The curve is given parametrically by

x=t^{3}-t

and

y=t^{2}

for

0\le t\le 2

. Determine the exact area of the region bounded by this curve and the

y

–axis.