Home
Class 12
MATHS
Evaluate : int (dx)/(x^2-6x+13)....

Evaluate : `int (dx)/(x^2-6x+13)`.

A

`tan^(-1)"" (x - 3)/(2) + c`

B

` (1)/(3) tan^(-1)"" (x - 3)/( 2) + c`

C

` (x+ 3)/( 2) tan ^(-1) x + c `

D

` (1)/(3) tan^(-1) ( x - 3) + c `

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |20 Videos
  • THREE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise Questions |72 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int (dx)/(x^2-4x+13) .

Evaluate int(dx)/(x^2+6x+10)

Evaluate : int (dx)/(3x^2+13x-10) .

Evaluate int 6^x dx

Evaluate int dx/(3x^2+6x+5)

Evaluate : int x/(x^2+5x+6)dx .

Evaluate int 6x^2 dx

OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
  1. The derivative of a^x is

    Text Solution

    |

  2. Find the rate of change of area of the circle with respect to its ...

    Text Solution

    |

  3. Evaluate : int (dx)/(x^2-6x+13).

    Text Solution

    |

  4. The degree of differential equation xy ( d^2 y)/( dx^2) + x ((dy)/( dx...

    Text Solution

    |

  5. If (hat i, hat j, hat k) are the usual three perpendicular unit vector...

    Text Solution

    |

  6. The Projection of vector hat(i) - hat(j) on vector hat(i) - hat(j) i...

    Text Solution

    |

  7. Direction casines of z-axis are

    Text Solution

    |

  8. If P (A) = 1/2 , P(B) = 0 then P (A|B) is :

    Text Solution

    |

  9. If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]]...

    Text Solution

    |

  10. Examine the consistency of the system of equations : x+3y=5, 2x+6y=8

    Text Solution

    |

  11. Disuss the continuity of the function f where f is defined by f(...

    Text Solution

    |

  12. Prove that the function 'f' given by f (x) = log sin x is strictly in...

    Text Solution

    |

  13. Form the differential equation of the family of circles touching the y...

    Text Solution

    |

  14. Find gof and fog, if f(x) = |x| and g(x) = |5x -2|

    Text Solution

    |

  15. Prove that tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=tan^(-1)""(1)/(2).

    Text Solution

    |

  16. Express tan^(-1) [(cos x)/( 1 - sin x)] x - (pi)/(2) lt x lt (pi)/(2)...

    Text Solution

    |

  17. using properties of determinates, prove that : |(1,1,1),(a,b,c),(a^(3...

    Text Solution

    |

  18. Differentiate x^(sin x) + (sin x)^(cos x) w.r.t.x.

    Text Solution

    |

  19. y = 5 cos x - 3 sin x, prove that (d^2 y)/(dx^2) + y = 0

    Text Solution

    |

  20. Evaluate int ( 5 x)/( x + 1( x^(2) + 9)) dx

    Text Solution

    |