Home
Class 12
MATHS
int(0)^(1)[(x)/(sinx)]dx equals to, ([.]...

`int_(0)^(1)[(x)/(sinx)]dx` equals to, ([.] denotes greatest integers function)

A

1

B

`3//2`

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(15)[x]^(3)dx equals, where [. ] denote the greatest integer function

If f(x)=[|x|, then int_(0)^(100)f(x)dx is equal to (where I.] denotes the greatest integer function)

The value of I = int_(-1)^(1)[x sin(pix)]dx is (where [.] denotes the greatest integer function)

The value of int_(0)^(100)sin(x-[x])pi dx is Here [.] denotes greatest integer function

The value of int_(-1)^(1)(x-[x])dx , (where [.] denotes greatest integer function)is

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

Evaluate int_(0)^(oo)[(3)/(x^(2)+1)]dx where [.] denotes the greatest integer function.

The value of int_(0)^(1000)e^(x-[x])dx , is ([.] denotes the greatest integer function) :

Evaluate: int_(0)^(2 pi)[sin x]dx, where [.] denotes the greatest integer function.

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. The value of int(0)^(1)(Pi(i=1)^(n)(x+i))(Sigma(j=1)^(n)(1)/(x+j))dx i...

    Text Solution

    |

  2. If f is a continuous and differentiable funciton in x in (0, 1) such t...

    Text Solution

    |

  3. int(0)^(1)[(x)/(sinx)]dx equals to, ([.] denotes greatest integers fun...

    Text Solution

    |

  4. If area bounded by the curve x^(2)y+y^(2)x=alpha y is 2 units, then po...

    Text Solution

    |

  5. Let f(x)={{:(2^([x]),, x lt0),(2^([-x]),,x ge0):}, then the area bound...

    Text Solution

    |

  6. The degree and order of differntial equation of family of circle touch...

    Text Solution

    |

  7. If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2...

    Text Solution

    |

  8. Domain of the function f(x)=(1)/([sinx-1]) (where [.] denotes the grea...

    Text Solution

    |

  9. For f:N rarr R f(x)=(x^(3)-11^(3))^(1//3), the number of positive inte...

    Text Solution

    |

  10. If f(x)=={{:((sin(x))/({x})",",{x} ne 0),(k",",{x}0):}, where {x} deno...

    Text Solution

    |

  11. If f(x)=int(0)^(x)(e^(t)+3)dt, then which of the following is always t...

    Text Solution

    |

  12. Let g(x)=e^f(x)), g(x+1)=xg(x), then (g'((2n+1)/(2))g((1)/(2))-g'((1)/...

    Text Solution

    |

  13. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  14. Let f(x)=int((4x^(4)-2x^(3)-3x^(2)-4)dx)/((x^(4)+x^(3)+1)^(3//2)). If ...

    Text Solution

    |

  15. If x(1), x(2), x(3), x(4) are positive roots of the equation x^(4)-8x^...

    Text Solution

    |

  16. If int(0)^(1)(2^(t)dt)/(t+3)=A and int(a-1)^(a)(2^(t)dt)/(t+b-1)=2^(a-...

    Text Solution

    |

  17. (p^^~q) ^^ (~pvvq) is

    Text Solution

    |

  18. ~(prArr q)hArr ~pvv p) is a

    Text Solution

    |

  19. Which of the following is logically equivalent to ~(~prArr q)?

    Text Solution

    |

  20. Which of the following is logically equivalent to ~(~p implies q)

    Text Solution

    |