The curves and intersect at

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

Problem

The curves

y=x^{3}

and

y=3x

intersect at

x=-\sqrt{3}

x=0

and

x=\sqrt{3}

. Find the area of the region enclosed between them. (a)

\dfrac{9}{4}

(b)

3

(c)

\dfrac{9}{2}

(d)

3\sqrt{3}