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

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 25

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 28

    NTA MOCK TESTS|Exercise MATHEMATICS|25 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

NTA MOCK TESTS-NTA JEE MOCK TEST 27-MATHEMATICS
  1. Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} a...

    Text Solution

    |

  2. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  3. If two points P & Q on the hyperbola ,x^2/a^2-y^2/b^2=1 whose centre i...

    Text Solution

    |

  4. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  5. The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

    Text Solution

    |

  6. If 2^(a1),2^(a2),2^(a3).......2^(ar) are in geometric progression , th...

    Text Solution

    |

  7. The solution of the equation |z|-z=1+2i is

    Text Solution

    |

  8. The unbiased dice is tossed until a number greater than 4 appear. W...

    Text Solution

    |

  9. The range of a for which the equation x^2+x-4=0 has its smaller root i...

    Text Solution

    |

  10. If volume of parallelopiped whose there coterminous edges are vec u = ...

    Text Solution

    |

  11. If 5a + 4b + 20 c = t then the value of t for which the line ax+by+c-...

    Text Solution

    |

  12. The solution of the differential equation sin(x+y)dy =dx is

    Text Solution

    |

  13. If f(x)=[x]^({x}) +{x}^([x]) + sin (pix) , Where [.] and {.} represen...

    Text Solution

    |

  14. An aeroplane flying horizontally , 1km above the ground , is observed...

    Text Solution

    |

  15. The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))...

    Text Solution

    |

  16. The value of lim(xto1^(+))(int(1)^(x)|t-1|dt)/(sin(x-1)) is

    Text Solution

    |

  17. If f(x)=cos^-1(sin(4cos^2x-1)), then 1/pif'(pi/3).f(pi/10) is

    Text Solution

    |

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

    Text Solution

    |

  19. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  20. Let y = x^3 - 6x^2 + 9x + 1 be an equation of a curve, then the x-inte...

    Text Solution

    |