Mathematics

Problem

A curve is defined parametrically by

x=t^{3}-t

and

y=t^{2}

for

0\le t\le 1

. Together with the

y

-axis, the curve encloses a region in the plane. What is the area of this region? a)

\dfrac{8}{15}

\dfrac{4}{15}

\dfrac{2}{15}

\dfrac{2}{5}