Region is bounded by the curve and the –axis for

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Region

R

is bounded by the curve

y=x-x^{3}

and the

x

–axis for

-1\le x\le 1

. Which of the following is the area of

R

? (a)

0

(b)

\dfrac{3}{4}

(c)

\dfrac{1}{2}

(d)

\dfrac{1}{4}