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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 expressions gives the average value of the function f(x)=3x3−2x+1f(x)=3x^3-2x+1 on the interval [−1,1][-1,1]?

A

11∗∫−11(3∗x3−2∗x+1) dx\frac{1}{1}*\int_{-1}^{1}(3*x^3-2*x+1)\,dx

B

12∗∫−11(3∗x3−2∗x+1) dx\frac{1}{2}*\int_{-1}^{1}(3*x^3-2*x+1)\,dx

C

12∗∫−11(3∗x3−2∗x) dx\frac{1}{2}*\int_{-1}^{1}(3*x^3-2*x)\,dx

D

∫−11(3∗x3−2∗x+1) dx\int_{-1}^{1}(3*x^3-2*x+1)\,dx

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