Mean Value Theorem for Integrals

In this video I go over the Mean Value Theorem for Integrals which states that for any continuous function from x = a to x = b there exists a number c in that interval such that f(c) is equal to the average of the function during that interval. The theorem is a direct consequence of the original Mean Value Theorem which is for derivatives. This theorem also shows that in that interval the average value can be considered the height of a rectangle with the same area as that under the curve.

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[mes]

I don't always go over the mean value theorem but when I do it's usually for integrals ;)