Calculate the average value of on the interval .

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

Problem

Calculate the average value of

f(x)=\ln x

on the interval

[1,\,e^{2}]

. (a)

\displaystyle\frac{e^{2}-1}{e^{2}+1}

(b)

1

(c)

\displaystyle\frac{e^{2}+1}{e^{2}-1}

(d)

\displaystyle\frac{e^{2}}{e^{2}-1}