please help!

The average value of cosx on the interval [-3,5] is...?

I looked in my book and asked a friend but nobody understands...the answer is supposed to be (sin3 + sin5)/8...

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- Jan 7th 2007, 03:19 PMabcocoaaverage value on an interval
please help!

The average value of cosx on the interval [-3,5] is...?

I looked in my book and asked a friend but nobody understands...the answer is supposed to be (sin3 + sin5)/8... - Jan 7th 2007, 03:25 PMThePerfectHacker
- Jan 8th 2007, 01:19 AMtopsquark
In general (assuming the integral can be done, etc.) the average (mean) value of a function f(x) over the interval (a, b) is:

$\displaystyle \overline{f} = \frac{1}{b - a} \int_a^b dx f(x)$

You can find this under the heading "mean value theorem for integration" or something similar.

-Dan