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Mathematics
Mathematics
Problem
The value of
∫
1
10
π
(
[
sec
−
1
x
]
+
[
cot
−
1
x
]
)
d
x
\int_{1}^{10\pi} ([\sec^{-1} x] + [\cot^{-1} x]) dx
∫
1
10
π
([
sec
−
1
x
]
+
[
cot
−
1
x
])
d
x
(where,
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function) is equal to a.
(
sec
1
)
−
10
π
(\sec 1) - 10\pi
(
sec
1
)
−
10
π
b.
10
π
−
sec
1
10\pi - \sec 1
10
π
−
sec
1
c.
π
−
sec
1
\pi - \sec 1
π
−
sec
1
d. None of these
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