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- May 23rd 2008, 05:16 AMszpengchaoMean Value Theorem for Integrals
- May 23rd 2008, 08:32 AMThePerfectHacker
Since is continous it attains its maximum and minimum.

This means there are so that .

Since multiplication does not reverse inequality, .

Now integrate both sides, this is possible since is continous.

And finally the last statement follows by indetermediate value theorem for continous functions.