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AP Calculus BC/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 $$f(x)$$ on the interval $$[a,b]$$?

A

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

B

$$\int_{a}^{b} f(x)\,dx$$

C

$$\frac{1}{2}*\int_{a}^{b} f(x)\,dx$$

D

$$\frac{1}{b-a}*\int_{a}^{b} f(x)\,dx$$

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