For a continuous function defined on

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

Problem

For a continuous function

g

defined on

[2,5]

, which of the following expressions represents the average value of

g

on that interval? (a)

\dfrac{1}{5}\displaystyle\int_{2}^{5} g(x)\,dx

(b)

\dfrac{1}{3}\displaystyle\int_{5}^{2} g(x)\,dx

(c)

\dfrac{1}{3}\displaystyle\int_{2}^{5} g(x)\,dx

(d)

\displaystyle\int_{2}^{5} g(x)\,dx