Find the area of the region bounded by the curves and for .

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Find the area of the region bounded by the curves

x = y^{3}

and

x = y

for

-1 \le y \le 1

. (a)

0

(b)

\dfrac{1}{4}

(c)

\dfrac{1}{2}

(d)

\dfrac{2}{3}