Find the area of the region enclosed by the curve

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

Problem

y=4x-x^{2}

, the

x

-axis, and the lines

x=0

and

x=4

. (a)

\dfrac{16}{3}

(b)

\dfrac{64}{3}

(c)

\dfrac{32}{3}

(d)

32