Which expression represents the average value of a continuous function on the…

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

Problem

Which expression represents the average value of a continuous function

f

on the interval

[a,b]

where

a<b

? (a)

\dfrac{1}{b-a}\displaystyle\int_b^a f(x)\,dx

(b)

\dfrac{1}{b+a}\displaystyle\int_a^b f(x)\,dx

(c)

\dfrac{1}{b-a}\displaystyle\int_a^b f(x)\,dx

(d)

(b-a)\displaystyle\int_a^b f(x)\,dx