Home
Class 12
MATHS
Evalute the following integrals int (s...

Evalute the following integrals
`int (sin 2x)/((a + b cos x )^(2)) ` dx

Text Solution

Verified by Experts

The correct Answer is:
`-(2)/(b^(2)) [ " log "|a + b cos x | + (a)/((a + b "cos x")) ] + c `
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL INFORMATION|12 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.7 (SHORT ANSWER QUESTIONS )|12 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos
  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

Evalute the following integrals int (sin x)/((1 + cos x)^(2)) dx

Evalute the following integrals int e^(2x) dx

Evalute the following integrals int (sin x)/(1 + cos x) dx

Evalute the following integrals int sin^(3) 2x dx

Evalute the following integrals int (sin^(2) x)/(1 + cos x) dx

Evalute the following integrals int (sin x)/(sin (a + x)) dx

Evalute the following integrals int (1- sin x)/(cos^(2) x) dx

Evalute the following integrals int (sin x)/( 1 + sin " x") dx

Evalute the following integrals int sin ^(7) x dx

Evalute the following integrals int sin^(2) x dx on R

AAKASH SERIES-INDEFINITE INTEGRALS -MISCELLANEOUS QUESTIONS
  1. Evalute the following integrals int (1)/(cos x sin^(2) x) dx

    Text Solution

    |

  2. Evaluate the integerals. int (cos x + sin x)/(sqrt(1+sin 2x))dx on...

    Text Solution

    |

  3. Evalute the following integrals int (sin 2x)/((a + b cos x )^(2)) d...

    Text Solution

    |

  4. Evalute the following integrals int (cos 6x - cos 4x)/(sin 6x - sin...

    Text Solution

    |

  5. Evalute the following integrals int (dx)/(sin x + sin 2x )

    Text Solution

    |

  6. Evaluate the integerals. f sin mx sin nx dx on R, m ne n, m and n ...

    Text Solution

    |

  7. Evalute the following integrals int cos mx cos nx dx

    Text Solution

    |

  8. Evalute the following integrals int (2x^(2) -3 " sin x " + 5 sqrt(x...

    Text Solution

    |

  9. Evalute the following integrals int (4x^((3)/(2)) - (5)/(sqrt(x)) + ...

    Text Solution

    |

  10. int [(1)/(sqrt(1-x^(2)))+2^(x)+e^(x)]dx=

    Text Solution

    |

  11. Evalute the following integrals int (3x + 7)/(3x^(2) + 14 x- 5)

    Text Solution

    |

  12. Evalute the following integrals int (4x + 1)/(sqrt(2x^(2) + x -3)) ...

    Text Solution

    |

  13. Evalute the following integrals int (sin x)/(1 + cos x) dx

    Text Solution

    |

  14. Evalute the following integrals int (sin x)/((1 + cos x)^(2)) dx

    Text Solution

    |

  15. Evalute the following integrals int (cos x)/(sqrt(1 + sin x)) dx

    Text Solution

    |

  16. Evalute the following integrals int ("cosec"^(2)x)/((1 + cot x)^(2))...

    Text Solution

    |

  17. Evalute the following integrals int (e^(2x) - e^(-2x))/(e^(2x) + e^(...

    Text Solution

    |

  18. Evalute the following integrals int (1)/(1 + e^(-x)) dx

    Text Solution

    |

  19. Evalute the following integrals int (dx)/(sqrt(x^(2) - 36))

    Text Solution

    |

  20. Evalute the following integrals int (dx)/(x^(2) + 81)

    Text Solution

    |