Which of the following expressions represents the average value of a continuous…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Which of the following expressions represents the average value of a continuous function

f

on the closed interval

[a,b]

with

a<b

? (a)

\displaystyle \int_{a}^{b} f(x)\,dx

(b)

\displaystyle \frac{1}{b-a}\int_{0}^{b} f(x)\,dx

(c)

\displaystyle \frac{1}{b-a}\int_{a}^{b} f(x)\,dx

(d)

\displaystyle \frac{1}{2}\int_{a}^{b} f(x)\,dx