Question

Find the average value fave of the function f on the given interval.

Answer 1

\[f(x)=3\sin(2x), [-\pi, \pi]\]

Answer 2

\[\frac{3}{2\pi}\int_{-\pi}^{\pi}\sin(2x)dx\] is a start

Answer 3

a simple \(u\)-sub gives the anti derivative as \(-\frac{1}{2}\cos(2x)\)
evaluate and subtract