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Mathematics
Mathematics
Problem
Let
I
(
x
)
=
∫
(
x
+
1
)
x
(
1
+
x
e
x
)
2
d
x
,
x
>
0
,
I(x) = \int \frac{(x+1)}{x(1+xe^x)^2} dx, x > 0,
I
(
x
)
=
∫
x
(
1
+
x
e
x
)
2
(
x
+
1
)
d
x
,
x
>
0
,
If
lim
x
→
∞
I
(
x
)
=
0
\lim_{x \to \infty} I(x) = 0
lim
x
→
∞
I
(
x
)
=
0
, then
I
(
1
)
I(1)
I
(
1
)
is equal to
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