FunctionHard
Question
[cot x]dx, [•] denotes the greatest integer function, is equal toOptions
A.
B.1
C.- 1
D.
Solution
Let I = [cot x] dx .....(1)
= [cot(π - x] dx = [- cot x] dx .....(2)
Adding (1) and (2)
2l =[cot x] dx + [- cot x] dx = (-1) dx
= [-x]0x = - π
∴ I = -
[cot x] dx .....(1)=
[cot(π - x] dx = [- cot x] dx .....(2)Adding (1) and (2)
2l =
[cot x] dx + [- cot x] dx = (-1) dx= [-x]0x = - π
∴ I = -
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