Apentix/AP Calculus AB/Unit 8: Applications of Integration/Question

AP Calculus ABeasymcq1 pt

The average value of $f(x)=8x$ on the interval $[0,3]$ is

A.

36

B.

18

C.

4

D.

12

Explanation

Core Concept

The integral is $\int_0^3 8x\,dx=[4x^2]_0^3=36$ . Dividing by the interval length 3 gives $\frac{36}{3}=12$ .

Correct Answer

D $12$

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