Integral Mean Value Theorem

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The integral mean value theorem (a corollary of the intermediate value theorem) states that a function continuous on an interval takes on its average value somewhere in the interval. More exactly, if is continuous on
, then there exists
in
such that
.
Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA
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"Integral Mean Value Theorem"
http://demonstrations.wolfram.com/IntegralMeanValueTheorem/
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Published: March 7 2011