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AP® Calculus AB-BC

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Moderate

Average Value of Generic Integrals

APCALC-ZU3Y6F

Let $\int_{-1}^{2}{f(x)dx}=5$ and $\int_{2}^{6}{f(x)dx}=-1$.

What is the average value of $\int_{-1}^{6}{f(x)dx}$?

A

$-\cfrac{1}{4}$

B

$\cfrac{4}{7}$

C

$1$

D

$4$