Home
Class 12
MATHS
int (sin 2x)/(a cos^(2)x+b sin^(2)x)dx=...

`int (sin 2x)/(a cos^(2)x+b sin^(2)x)dx=`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.3(SHORT ANSWER QUESTIONS )|26 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.4 ( LONG ANSWER QUESTIONS )|36 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.2(VERY SHORT ANSWER QUESTIONS)|57 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

int (3 cos^(2)x+4 sin^(2)x)/(cos^(2)xsin^(2)x)dx=

int (a cos^(3)x+b sin^(3)x)/(cos^(2)x sin^(2)x)dx=

int (sin 2x)/(1+cos^(4)x)dx=

int (1)/(cos 2 x + sin^(2) x) dx =

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

int sin^(2) x cos^(2) x dx =

int (1)/(sqrt(sin^(2) x cos^(2) x - sin^(4) x)) dx =

int_(0)^(pi/4)(cos^(2)x)/(cos^(2)x+4sin^(2)x)dx=

int (cos^(8)x-sin^(8)x)/(1-2 cos^(2)sin^(2)x)dx=

int (sin^(3)x)/(sin^(2)xcos^(2)x)dx=

AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.2(SHORT ANSWER QUESTIONS )
  1. Evalute the following integrals int tan^(4) x sec^(2) x dx

    Text Solution

    |

  2. Evalute the following integrals int (sec x)/((sec x +tan x )^(n)) d...

    Text Solution

    |

  3. int (sin 2x)/(a cos^(2)x+b sin^(2)x)dx=

    Text Solution

    |

  4. Evalute the following integrals int (1)/(1 +sin 2 x) dx

    Text Solution

    |

  5. int (1)/(sin(x-a)sin (x-b))dx=

    Text Solution

    |

  6. Evalute the following integrals int (1)/(cos (x -a ) cos (x - b)) d...

    Text Solution

    |

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

    Text Solution

    |

  8. int (cot x)/(log (sin x))dx=

    Text Solution

    |

  9. Evalute the following integrals int ((x^(3) -x)^(1//3))/(x^(4)) dx

    Text Solution

    |

  10. Evalute the following integrals int "cosec"^(2) x sin 2 x dx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Evaluate the integerals. int (dx)/(a ^(2) sin ^(2) x+b^(2) cos ^(2...

    Text Solution

    |

  14. Evaluate the integerals. int x sqrt(4x+3) dx on (-(3)/(4), oo).

    Text Solution

    |

  15. Evalute the following integrals int cos x cos 2x dx

    Text Solution

    |

  16. Evalute the following integrals int cos x cos 3 x dx

    Text Solution

    |

  17. int cos x cos 2x cos 3x dx=

    Text Solution

    |

  18. Evaluate the integerals. f sin x sin 2x. Sin 3x dx on R.

    Text Solution

    |

  19. Evaluate the integerals. int sin ^(3) x dx on R.

    Text Solution

    |

  20. Evalute the following integrals int cos^(3) x dx

    Text Solution

    |