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^{2}-1

and

y=2t

for

-1\le t\le 1

. Together with the

y

-axis, the curve encloses a finite region in the plane. Find the exact area of this region.