Home
Class 12
MATHS
The value of x satisfying int(0)^(2[x+1...

The value of x satisfying `int_(0)^(2[x+14]){(x)/(2)} dx=int_(0)^({x})[x+14] dx` is equal to (where, `[.]` and `{.}` denotes the greates integer and fractional part of x)

A

`[-14, -13)`

B

`(0, 1)`

C

`(-15, -14]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

The value of int_(1)^(4){x}^([x]) dx (where , [.] and {.} denotes the greatest integer and fractional part of x) is equal to

int_(0)^(2) [x^(2)]dx is equal to

The value of int_(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] denotes the greatest integer function)

The value of int_0^([x]) 2^x/(2^([x])) dx is equal to (where, [.] denotes the greatest integer function)

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

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

int_(0)^(2) |x^(2)+2x-3|dx is equal to

The value of int_(0)^(|x|){x} dx (where [*] and {*} denotes greatest integer and fraction part function respectively) is

int_(0)^(10)|x(x-1)(x-2)|dx is equal to

If int_0^x[x]dx=int_0^([x]) xdx,x !in integer (where, [*] and {*} denotes the greatest integer and fractional parts respectively,then the value of 4{x} is equal to ...

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. if f(x) = |(cosx,e^(x^(2)),2x cos ^(2) x//2),(x^(2) ,sec x,sin x + x^(...

    Text Solution

    |

  2. Evaluate: int0^2(dx)/((17+8x-4x^2)[e^(6(1-x))+1)

    Text Solution

    |

  3. The value of x satisfying int(0)^(2[x+14]){(x)/(2)} dx=int(0)^({x})[x...

    Text Solution

    |

  4. If f(x) is a continous function such that f(x)|0,AA x in[2,10] and int...

    Text Solution

    |

  5. Let f be a one-one function such that f(x).f(y) + 2 = f(x) + f(y) + f(...

    Text Solution

    |

  6. IfIn=int0^1(dx)/((1+x^2)^n),w h e r en in N , which of the following...

    Text Solution

    |

  7. If n is a positive integer then int(0)^(1)(ln x)^(n)dx is :

    Text Solution

    |

  8. int(1)^(2)((x^(2)-1)dx)/(x^(3).sqrt(2x^(4)-2x^(2)+1))=(u)/(v) where u...

    Text Solution

    |

  9. The value of int(a)^(b)(x^(n-1)((n-2)x^(2)+(n-1)(a+b)x+nab))/((x+a)^(2...

    Text Solution

    |

  10. The number of values of x satisfying the equation : int (-4) ^(x) (8...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. If x=int(0)^(t^(2))e^(sqrt(z)){(2tan sqrt(z)+1-tan^(2)sqrt(z))/(2sqrt(...

    Text Solution

    |

  13. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  14. Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...

    Text Solution

    |

  15. Find Lim {x->oo}{ (1+1/(n^2))^(2/n^2)(1+4/(n^2))^(4/n^2).....(1+(n^2)/...

    Text Solution

    |

  16. The freezing point of an aqueous solution of KCN containing 0.1892" m...

    Text Solution

    |

  17. The value of underset (nrarrinfty)(lim)("sin"(pi)/(2n)."sin"(2pi)/(2n)...

    Text Solution

    |

  18. The area bounded by the curve y = cos^(-1) (cos x) and y = | x - pi| i...

    Text Solution

    |

  19. A point P moves in XY-plane in such a way that [|x|]+[|y|]=1, where [....

    Text Solution

    |

  20. If (1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))+(1)/(4^(2))+……+ oo=(pi^(2))/(6)...

    Text Solution

    |