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Mathematics
Mathematics
Problem
If
f
(
x
)
=
∫
3
(
ln
x
)
2
+
(
ln
x
)
4
x
(
1
+
(
ln
x
)
2
−
(
ln
x
)
3
)
d
x
f(x) = \int \frac{3(\ln x)^2 + (\ln x)^4}{x(1 + (\ln x)^2 - (\ln x)^3)}\,dx
f
(
x
)
=
∫
x
(
1
+
(
l
n
x
)
2
−
(
l
n
x
)
3
)
3
(
l
n
x
)
2
+
(
l
n
x
)
4
d
x
and
f
(
1
)
=
0
f(1) = 0
f
(
1
)
=
0
, then the value of
∣
3
f
(
e
2
)
∣
|3f(e^2)|
∣3
f
(
e
2
)
∣
is equal to
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