int(0)^(pi) [cotx]dx, where [*] denotes ...

`int_(0)^(pi) [cotx]dx`, where `[*]` denotes the greatest integer function, is equal to :

A

`1`

B

`-1`

C

`-(pi)/(2)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:

C

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Knowledge Check

int_(0)^(pi)[cot x]dx where [ ]denoted the greatest integer function, is equal to

A

`pi/2`

B

1

C

-1

D

`-pi/2`

int_(0)^(5) [x] dx = ….., where [x] denotes the greatest integer function

A

10

B

8

C

6

D

4

The value of the integral I=int_(0)^(pi)[|sinx|+|cosx|]dx, (where [.] denotes the greatest integer function) is equal to

A

1

B

2

C

`pi`

D

`2pi`

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