Difference between revisions of "Mean Value Theorem"

Revision as of 12:03, 11 June 2008

The Average Value Theorem states that if $f(x)$ is continuous on an interval $[a,b]$ , then there exists a $c$ in $[a,b]$ such that

$f(c)=\dfrac{1}{b-a}\int_{a}^{b}f(x)dx$

In words, there is a number $c$ in $[a,b]$ such that $f(c)$ equals the average value of the function in the interval $[a,b]$ .

This article is a stub. Help us out by expanding it.

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 [[Category:Calculus]]
 [[Category:Definition]]
+[[Category:Theorems]]