Home
Class 12
MATHS
If f(x)=min{|x-1|,|x|,|x+1|, then the va...

If `f(x)=min{|x-1|,|x|,|x+1|,` then the value of `int_-1^1 f(x)dx` is equal to

A

1

B

`(1)/(2)`

C

`(1)/(4)`

D

`(1)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If f(x)=min_(1){|x-1|,|x|,|x+1|, then the value of int_(-1)^(1)f(x)dx is equal to

If f(x)= Min {|x-1|,|x|,|x+1|} "then" int_(-1)^(1)f(x)dx eqals

Let f(x)=minimum{|x|,1-|x|,(1)/(4)} for x varepsilon R then the value of int_(-1)^(1)f(x)dx is equal to

f(x)={[1-|x|,|x| 1' find the value of int_(-3)^(5)g(x)dx

If f(x)=min(|x|,1-|x|,(1)/(4))AA x in R, then find the value of int_(-1)^(1)f(x)dx

Let f(x) be a real valued function such that f(x)=f((121)/(x)),AA x>0. If int_(1)^(11)(f(x))/(x)dx=5, then the value of int_(1)^(121)(f(x))/(x)dx is equal to

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

Let f(x) = {x} , the fractional part of x then int_(-1)^(1) f(x) dx is equal to

int_(0)^( If )(f(t))dt=x+int_(x)^(1)(t^(2)*f(t))dt+(pi)/(4)-1 then the value of the integral int_(-1)^(1)(f(x))dx 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)[t+1]^(3) dt (where, [.] denotes the greatest ...

    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) [x]dx=[x]([x]-1)/(2)+[x] (x-[x]), where [.] deno...

    Text Solution

    |

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

    Text Solution

    |

  19. If f(n)=int0^x[cos t]dt, where x in (2 npi,2 npi+pi/2); n in N and [*]...

    Text Solution

    |

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

    Text Solution

    |