The value of int-1^10 sgn (x -[x])dx is ...

The value of `int_-1^10 sgn (x -[x])dx` is equal to (where, [:] denotes the greatest integer function

A

9

B

10

C

11

D

12

Text Solution

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The correct Answer is:

C

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Knowledge Check

The value of int _(-1) ^(3) (|x-2 |+[x]) dx is equal to (where [**] denotes greatest integer function)

A

7

B

5

C

4

D

3

The value of int_(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] denotes the greatest integer function)

A

`tan1-100`

B

`pi//2- tan 1`

C

`100-tan 1`

D

None of these

int_(3)^(10)[log[x]]dx is equal to (where [.] represents the greatest integer function)

A

9

B

`16-e`

C

`10`

D

`10+e`

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