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

$ g(x) = 3 \cos x $ , $ [\frac{-\pi}{2}, \frac{\pi}{2}] $

$\frac{6}{\pi}$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 5

Average Value of a Function

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we know we're gonna be putting into the average value Formula one over B R B is power to minus a would just negative pi over to from the bounds of negative power to two positive pi over too. And our function three co sign of axe D backs. We know we can integrate one over pi is a constant times three side of acts from our bounds of negative power Jude to positive pi over too, which gives us six over pie as our solution upon plugging in.

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