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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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Consider the function $$f(x)= x^2$$ over the interval $$[0,40]$$. Which of the following expressions correctly calculates the average value of $$f(x)$$ on that interval?

A

$$\frac{1}{40} \int_{0}^{40} x^2\,dx$$

B

$$\frac{1}{2} \int_{0}^{40} x^2\,dx$$

C

$$\frac{1}{40} \int_{0}^{40} x\,dx$$

D

$$\int_{0}^{40} x^2\,dx$$

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