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Mathematics
Problem
The integral
∫
−
1
/
2
1
/
2
(
[
x
]
+
ln
(
1
+
x
1
−
x
)
)
d
x
\int_{-1/2}^{1/2} \left( [x] + \ln \left( \frac{1+x}{1-x} \right) \right) dx
∫
−
1/2
1/2
(
[
x
]
+
ln
(
1
−
x
1
+
x
)
)
d
x
is equal to ____ .
[
x
]
[x]
[
x
]
is the greatest integer function
≤
x
\le x
≤
x
.
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