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