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Mathematics
Mathematics
Problem
For
x
≥
1
x\ge1
x
≥
1
,
g
(
x
)
=
∫
1
x
(
ln
t
)
2
d
t
g(x)=\displaystyle\int_{1}^{x} (\ln t)^2\,dt
g
(
x
)
=
∫
1
x
(
ln
t
)
2
d
t
. Determine the exact value of
f
(
5
)
f(5)
f
(
5
)
, where
g
′
(
x
)
=
f
(
x
)
g'(x)=f(x)
g
′
(
x
)
=
f
(
x
)
.
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