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Numerade Educator

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Problem 3 Easy Difficulty

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

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

Answer

$\frac{6}{\pi}$

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Video Transcript

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.