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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 expressions represents the average value of the function f(x)=x2f(x) = x^2 on the interval [0,40][0, 40]?

A

∫040x2 dx\int_{0}^{40} x^2\,dx

B

12∫040x2 dx\frac{1}{2} \int_{0}^{40} x^2\,dx

C

140∫040x dx\frac{1}{40} \int_{0}^{40} x\,dx

D

140∫040x2 dx\frac{1}{40} \int_{0}^{40} x^2\,dx

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