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Mathematics
Problem
Calculate the average value of
f
(
x
)
=
ln
x
f(x)=\ln x
f
(
x
)
=
ln
x
on the interval
[
1
,
e
2
]
[1,\,e^{2}]
[
1
,
e
2
]
. a)
e
2
−
1
e
2
+
1
\displaystyle\frac{e^{2}-1}{e^{2}+1}
e
2
+
1
e
2
−
1
b)
1
1
1
c)
e
2
+
1
e
2
−
1
\displaystyle\frac{e^{2}+1}{e^{2}-1}
e
2
−
1
e
2
+
1
d)
e
2
e
2
−
1
\displaystyle\frac{e^{2}}{e^{2}-1}
e
2
−
1
e
2
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