Home
Class 11
MATHS
int (0) ^(1) x tan ^(-1) x dx =...

`int _(0) ^(1) x tan ^(-1) x dx =`

A

`(pi)/(4) +(1)/(2)`

B

`(pi)/(4)-(1)/(2)`

C

`(1)/(2)-(pi)/(4)`

D

`-(pi)/(4)-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    MARVEL PUBLICATION|Exercise QUESTION|47 Videos
  • QUESTION PAPER 2018

    MARVEL PUBLICATION|Exercise QUESTION|50 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1) x^(3) tan^(-1) x " "dx =

int _(0)^(1) (tan ^(-1))/(x ) dx =

int " x tan"^(-1) " x dx "

int_(0)^(1)x cos(tan^(-1)x)dx

2int_ (0) ^ ((1) / (sqrt (2))) (sin ^ (- 1) x) / (x) dx-int_ (0) ^ (1) (tan ^ (- 1) x) / (x) dx =

If int_(0)^(1) tan^(-1) x dx = p , then the value of int_(0)^(1) tan^(-1)((1-x)/(1 +x)) dx is

int (tan^(-1)x)dx

If int_(0)^(1) cot^(-1)(1-x-x^(2))dx=k int_(0)^(1) tan^(-1)x dx , then k=

MARVEL PUBLICATION-QUESTION PAPER 2017-QUESTION
  1. If z(1) and z(2) are z-coordinates of the points of trisection of the ...

    Text Solution

    |

  2. The maximum value of f(x) =(log x)/(x) (x ne 0, x ne 1) is

    Text Solution

    |

  3. int (0) ^(1) x tan ^(-1) x dx =

    Text Solution

    |

  4. The statement pattern (~p ^^ q) is logically equivalent to

    Text Solution

    |

  5. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

    Text Solution

    |

  6. The inverse of the matrix [(1,0,0),(3,3,0),(5,2,-1)] is

    Text Solution

    |

  7. if int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c. then a...

    Text Solution

    |

  8. O(0,0), A(1,2), B(3,4) are the vertices of DeltaOAB. The joint equatio...

    Text Solution

    |

  9. f(x) = {{:(("tan"(pi)/(4)+x)^(1//x)",",x ne 0),(k",",x = 0):} for what...

    Text Solution

    |

  10. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

    Text Solution

    |

  11. The Solution of the differential equation (dy)/(dx)=tan ((y)/(x))+...

    Text Solution

    |

  12. In Delta ABC if sin ^(2)A + sin ^(2) B = sin ^(2) B= sin ^(2)C and ...

    Text Solution

    |

  13. If x=f(t) and yy=g(t) are differentiable functions of t then (d^...

    Text Solution

    |

  14. The equation of line equally inclined to co -ordinate axes and ...

    Text Solution

    |

  15. If int(0)^(pi//2) log cos x dx =(pi)/(2)log ((1)/(2)), then int(0)^(...

    Text Solution

    |

  16. A boy tosses faiir coin 3 times. If he gets Rs 2X for X heads, then hi...

    Text Solution

    |

  17. Which of the following statement pattern is a tautology?

    Text Solution

    |

  18. If the angle between the planes bar r .(m hati -hatj+2hatk)+3=0 ...

    Text Solution

    |

  19. If the origin and the point p(2,3,4),q(,1,2,3)R (x,y,z) are coplan...

    Text Solution

    |

  20. if lines represented by equation px^(2)-qy^(2)=0 are distinct, then

    Text Solution

    |