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Mathematics
Mathematics
Problem
The value of
∫
−
2
2
min
{
x
−
[
x
]
,
−
x
−
[
−
x
]
}
d
x
\int_{-2}^{2} \min\{x - [x], -x - [-x]\} \, dx
∫
−
2
2
min
{
x
−
[
x
]
,
−
x
−
[
−
x
]}
d
x
is equal to (where
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function) a.
1
/
2
1/2
1/2
b. 1 c.
3
/
2
3/2
3/2
d. 2
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