Home
Class 12
MATHS
The value of int(-1)^(3){|x-2|+[x]} dx, ...

The value of `int_(-1)^(3){|x-2|+[x]} dx`, where [.] denotes the greatest integer function, is equal to

A

5

B

6

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 4|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 5|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_(0)^(2)[x+[x+[x]]] dx (where, [.] denotes the greatest integer function )is equal to

int_(-1)^(2)[([x])/(1+x^(2))]dx , where [.] denotes the greatest integer function, is equal to

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

The value of int_(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greatest integer function of x) is equal to

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

The value of int_(0)^(10pi)[tan^(-1)x]dx (where, [.] denotes the greatest integer functionof x) is equal to

The value of int_(0)^(1000) e^(x - [x]) dx (where [.] is the greatest integer function) equals

The value of lim_(xto1)({1-x+[x-1]+[1-x]} (where [.] denotes the greatest integral function) is

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to