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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)=ex−xf(x)=e^{x}-x on the interval [1,3][1,3]?

A

∫13(ex−x) dx\int_{1}^{3} (e^{x}-x)\,dx

B

13−1∗∫13(ex+x) dx\frac{1}{3-1}*\int_{1}^{3} (e^{x}+x)\,dx

C

13−1∗∫13(ex−x) dx\frac{1}{3-1}*\int_{1}^{3} (e^{x}-x)\,dx

D

13∗∫13(ex−x) dx\frac{1}{3}*\int_{1}^{3} (e^{x}-x)\,dx

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