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AP Calculus AB/Unit 8: Applications of Integration
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Average Value of a Function

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Which of the following gives the average value of a function f(x)f(x) on the interval [a,b][a,b]?

A

12∗∫abf(x) dx\frac{1}{2}*\int_{a}^{b} f(x)\,dx

B

∫abf(x) dx\int_{a}^{b} f(x)\,dx

C

1b−a∗∫abf(x) dx\frac{1}{b-a}*\int_{a}^{b} f(x)\,dx

D

1b∗∫abf(x) dx+1a\frac{1}{b}*\int_{a}^{b} f(x)\,dx + \frac{1}{a}

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