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Average Function


If f is continuous on a closed interval [a,b], then there is at least one number x^* in [a,b] such that

 int_a^bf(x)dx=f(x^*)(b-a).

The average value of the function (f^_) on this interval is then given by f(x^*).


See also

Mean-Value Theorem

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Cite this as:

Weisstein, Eric W. "Average Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AverageFunction.html

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