The Integral Mean Value Theorem: An Illustration

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There is at least one point in the interval such that the area of the rectangle (yellow) and the area below the curve (blue) are the same. The function value at this point is defined to be the average value of the function over the interval.
Contributed by: Paul Rosemond (March 2011)
Open content licensed under CC BY-NC-SA
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"The Integral Mean Value Theorem: An Illustration"
http://demonstrations.wolfram.com/TheIntegralMeanValueTheoremAnIllustration/
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Published: March 7 2011