The graphs of and intersect at

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

The graphs of

f(x)=x^{3}

and

g(x)=x

intersect at

x=-1,0,1

. What is the area of the region enclosed by the two graphs on the interval

[-1,0]

? (a)

1

(b)

\dfrac{1}{2}

(c)

\dfrac{1}{4}

(d)

\dfrac{3}{4}