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

AP Calculus ABeasymcq1 pt

The average value of $f(x)=4x+3$ on the interval $[1,5]$ is

A.

60

B.

15

C.

30

D.

12

Explanation

Core Concept

The integral is $\int_1^5(4x+3)\,dx=[2x^2+3x]_1^5=65-5=60$ . Dividing by the interval length $5-1=4$ gives $15$ .

Correct Answer

B $15$

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