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Mean Value Theorem 5.4
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The mean value theorem for definite integrals says that for a continuous function, at some point on the interval the actual value will equal the average value. Mean Value Theorem (for definite integrals) If f is continuous on then at some point c in , p
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The average value of a function is the value that would give the same area if the function was a constant:
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Example Find the average value and the “c” guaranteed by the MVTI of f(x) = x2 on the interval [2, 4]
![Example Find the average value and the c guaranteed by the MVTI of f(x) = x2 on the interval [2, 4]](http://slideplayer.com./slide/12693685/76/images/4/Example+Find+the+average+value+and+the+c+guaranteed+by+the+MVTI+of+f%28x%29+%3D+x2+on+the+interval+%5B2%2C+4%5D.jpg "Example Find the average value and the c guaranteed by the MVTI of f(x) = x2 on the interval [2, 4]")
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Example Find the average value of f(x) = sin x
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