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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}] $
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Calculus 2 / BC
Chapter 6
Applications of Integration
Section 5
Average Value of a Function
Campbell University
Baylor University
University of Michigan - Ann Arbor
University of Nottingham
Lectures
03:01
Find the average value of …
00:39
02:01
02:59
03:47
01:43
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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