The curves and intersect at two points

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

Problem

The curves

y=x^{2}

and

y=8-x^{2}

intersect at two points. What is the total area of the region enclosed by the two curves? (a)

\dfrac{64}{3}

(b)

\dfrac{32}{3}

(c)

\dfrac{128}{3}

(d)

\dfrac{80}{3}