Home
Class 12
MATHS
The value of int (0)^(2)f(x) d x , wher...

The value of `int _(0)^(2)f(x) d x ` , where
`f(x)={(0",where" x = (n)/(n+1)", n=1,2,3" ...) ,(1"," "elsewhere"):}3` is equal to

A

`1`

B

`2`

C

`3`

D

`0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Linked Comprehension Type Questions|7 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Competition level Questions|76 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(3)f(x)dx, where f(x)=|x|+|x-1|+|x-2|

If f(x)={0, where x=(n)/(n+1),n=1,2,3... and 1, else where ,then the value of int_(0)^(2)f(x)dx

If f(x)={0, where x=(n)/(n+1),n=1,2,3... and 1 else where then the value of int_(0)^(2)f(x)dx is

f:N to N, where f(x)=x-(-1)^(x) , Then f is

If int_(n)^(n+1)f(x)dx = n^(2) , where n is an integer, then int_(-2)^(4)f(x)dx=

int_(0)^(1)x^((m-1))(1-x)^((n-1))dx is equal to where m,n in N

If f(x)=(a-x^(n))^(1//n),"where a "gt 0" and "n in N , then fof (x) is equal to

AAKASH INSTITUTE-INTEGRALS-Objective Type Questions (Only one answer)
  1. If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...

    Text Solution

    |

  2. 1/kint0^k(1+sin2x)^(1/x)dx

    Text Solution

    |

  3. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

    Text Solution

    |

  4. Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...

    Text Solution

    |

  5. If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...

    Text Solution

    |

  6. If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...

    Text Solution

    |

  7. The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...

    Text Solution

    |

  8. The value of int (0)^(2)f(x) d x , where f(x)={(0",where" x = (n)/...

    Text Solution

    |

  9. Let g(x) be a continuous and differentiable function such that int0^2{...

    Text Solution

    |

  10. Let d/(dx) (F(x))= e^(sinx)/x, x>0. If int1^4 2e^sin(x^2)/x dx = F(k)...

    Text Solution

    |

  11. Let f:(0,oo)rarrR and F(x)=int0^x t.f(t)dt.If F(x^2)=x^4+x^5, then sum...

    Text Solution

    |

  12. int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=

    Text Solution

    |

  13. The value of int(-10)^(10)[{f(f(x)}xx{f(f((1)/(x))}]dx, where f(x)=(1-...

    Text Solution

    |

  14. The value of int(-2)^(2)(ax^(2011)+bx^(2001)+c)dx, where a, b, c are c...

    Text Solution

    |

  15. If for non zero x, 3f(x)+4f((1)/(x))=(1)/(x)-10, then the value of int...

    Text Solution

    |

  16. The value of int(2010pi+(pi)/(6))^(2010pi+(pi)/(3))(sinx+cosx)dx is

    Text Solution

    |

  17. If overset(x)underset(e )int t f(t)dt=sin x-x cos x-(x^(2))/(2) for al...

    Text Solution

    |

  18. The value of the integral int(-2012pi)^(2012pi) {d/dx(int0^(x^2) cost^...

    Text Solution

    |

  19. The value of int(-2010pi)^(2010pi) {x^2011(1+tan(pi/3-x)(1+tan(x-pi/1...

    Text Solution

    |

  20. Let f(x)=min{|x+2|,|x|,|x-2|} then the value of the integral int-2^2 ...

    Text Solution

    |