Mathematics

Problem

Calculate the average value of

f(x)=x^{2}\sin x

on the interval

[-\pi,\pi]

. a)

\displaystyle \pi-\frac{4}{\pi}

\displaystyle \frac{\pi^{2}}{3}

c) 0 d)

\displaystyle \frac{\pi}{2}-\frac{2}{\pi}