The function has average value over the interval

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

Problem

The function

h(x)=x^{2}-4x

has average value

0

over the interval

[a,\,a+4]

. If

a<a+4

, then the value of

a^{2}

is (a)

8

(b)

\dfrac{8}{3}

(c)

\dfrac{16}{3}

(d)

\dfrac{4}{3}