Determine the exact area of the region bounded by and on the interval .

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

Problem

Determine the exact area of the region bounded by

y=x^{2}

and

y=4x-x^{2}

on the interval

0\le x\le 3

. (a)

\dfrac{32}{3}

(b)

9

(c)

\dfrac{16}{3}

(d)

\dfrac{8}{3}