Find the average value of on the interval .

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

Problem

4. Find the average value of

f(x)=\frac{x^{2}}{\left(1-x^{3}\right)^{2}}

on the interval

[2,4]

. (A)

\frac{2}{189}

(B)

\frac{4}{189}

(C)

\frac{8}{189}

(D)

\frac{16}{189}