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AP Calculus AB›Unit 8: Applications of Integration›Accumulation in context

Average Value of a Function

The average value of a function on [a, b] is the integral divided by the interval's length.

The formula
Average value vs. average rate of change
In context

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8Applications of Integration

Average Value of a Function
Motion with Integrals
Definite Integrals in Applied Contexts
Area Between Curves
Volumes with Known Cross Sections
Volumes of Revolution

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Motion with Integrals

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Also called: average value of a function, mean value theorem for integrals