Home
Class 12
MATHS
int(1)/(16x^(2)+9)dx is equal to...

`int(1)/(16x^(2)+9)dx` is equal to

A

`(1)/(3) tan^(-1) ((4x)/(3)) + c`

B

`(1)/(4) tan^(-1) ((4x)/(3)) + c`

C

`(1)/(12) tan^(-1) ((4x)/(3)) + c`

D

`(1)/(12) tan^(-1) ((3x)/(4)) + c`

Text Solution

Verified by Experts

The correct Answer is:
C
`int (1)/(16x^(2) + 9) dx = (1)/(16) int (1)/( x^(2) + ((3)/(4))^(2)) dx`
`= (1)/(16) xx (4)/(3) tan^(-1) ((x)/(3//4)) + c `
`(1)/(12) tan^(-1) ((4x)/(3))` + c
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2009

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

  • MHTCET 2011

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise METHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

int(1)/(x^(2)-9)dx is equal to

int(1)/(4x^(2) +9) dx

int(1)/(x^(2)-9)dx

int(dx)/(16+x^(2))

int(dx)/(16+x^(2))

int(x^(5))/(1-x^(9))dx is equal to

int(1)/(9x^(2)+4)dx

int(1)/(9-4x^(2))dx

int1/sqrt(1-6x-9x^(2))dx is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2010-Mathematics
  1. int e^(tan x) (sec^(2) x + sec^(3) x sin x ) dx is equal to

    Text Solution

    |

  2. Differentiate (logx)^x with respect to logx .

    Text Solution

    |

  3. int(1)/(16x^(2)+9)dx is equal to

    Text Solution

    |

  4. Evaluate the following : int(4)^(7)((11-x)^(3))/(x^(3)+(11-x)^(3))d...

    Text Solution

    |

  5. Find the differential equation of the family of circles whose centres ...

    Text Solution

    |

  6. The solution of the differential equation y (1 + log x) (dx)/(dy) - x ...

    Text Solution

    |

  7. The order of the differential equation whose solution is ae^(x) + be^(...

    Text Solution

    |

  8. The equation of normal to the curve x^(2) + y^(2) = r^(2) at p (theta)...

    Text Solution

    |

  9. The equation of common tangent to the circle x^(2) + y^(2) = 2 and th...

    Text Solution

    |

  10. The equation of the curve whose vertex is (0,0) and length of latusrec...

    Text Solution

    |

  11. The sum of focal radii of the curve 90x^(2) + 25y^(2) = 225 is

    Text Solution

    |

  12. the equations of the tangents to 9x^2+16y^2=144 , which make equal int...

    Text Solution

    |

  13. If e(1) and e(2) represent the eccentricity of the curves 6x^(2) - 9y^...

    Text Solution

    |

  14. If two dice are thrown together . Then , the probability that the sum ...

    Text Solution

    |

  15. Let A=[(cos theta, -sin theta),(- sin theta,-cos theta)] then the inve...

    Text Solution

    |

  16. The output of the following circuit is

    Text Solution

    |

  17. The maximum value of Z = 3x + 2y for linear x +y le 7, 2x + 3y le 16, ...

    Text Solution

    |

  18. Dual of (x +y)(x'*1) is

    Text Solution

    |

  19. The value of f(4) - f(3) is

    Text Solution

    |

  20. (1 + Delta)^(n) f(a) is equal to

    Text Solution

    |