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
Promotional Banner

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

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise For Session 3
  1. The value of int(-1)^(3){|x-2|+[x]} dx, where [.] denotes the greatest...

    Text Solution

    |

  2. The value of int(-1)^(3)(|x|+|x-1|) dx is equal to

    Text Solution

    |

  3. Let f(x) = x-[x], for every real number x, where [x] is integral part ...

    Text Solution

    |

  4. The value of int(0)^(2)[x+[x+[x]]] dx (where, [.] denotes the greates...

    Text Solution

    |

  5. The value of int0^([x]) 2^x/(2^([x])) dx is equal to (where, [.] denot...

    Text Solution

    |

  6. The value of int(0)^(4) {x} dx (where , {.} denotes fractional part of...

    Text Solution

    |

  7. The value of int(1)^(4){x}^([x]) dx (where , [.] and {.} denotes the g...

    Text Solution

    |

  8. The value of int(0)^(x)(4t)^(3) dt is equal to

    Text Solution

    |

  9. The value of int(0)^(10pi)[tan^(-1)x]dx (where, [.] denotes the greate...

    Text Solution

    |

  10. If f(x)=min{|x-1|,|x|,|x+1|, then the value of int-1^1 f(x)dx is equal...

    Text Solution

    |

  11. The value of int(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greate...

    Text Solution

    |

  12. The value of int(1)^(10pi)([sec^(-1)x]) dx (where ,[.] denotes the gre...

    Text Solution

    |

  13. The value of int(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes gr...

    Text Solution

    |

  14. The value of int0^(pi/4)(tan^n(x-[x])+tan^(n-2)(x-[x]))dx (where, [ ] ...

    Text Solution

    |

  15. The value of int(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greates...

    Text Solution

    |

  16. Evaluate int0^a[x^n]dx, (where,[*] denotes the greatest integer functi...

    Text Solution

    |

  17. Prove that int(0)^(x)[t]dt=([x]([x]-1))/2+[x](x-[x]), where [.] denote...

    Text Solution

    |

  18. If f(n)=(int0^n[x]dx)/(int0^n{x}dx)(where,[*] and {*} denotes greatest...

    Text Solution

    |

  19. int0^x[cost]dt ,w h e r ex in (2npi,2npi+pi/2),n in N ,a n d[dot] de...

    Text Solution

    |

  20. If int0^x[x]dx=int0^([x]) xdx,x !in integer (where, [*] and {*} denote...

    Text Solution

    |