Home
Class 12
MATHS
int (secx)/((sec x+ tan x)^(2))dx=...

`int (secx)/((sec x+ tan x)^(2))dx=`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(4) log (1 + sin^(2)x) - (1)/(2) `log | 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

Evaluate the integerals. int (sec x)/((sec x + tan x)^(2))dx on I sub R \\{(2 n +1) (pi)/(2): n in Z}.

Evalute the following integrals int (sec x)/((sec x +tan x )^(n)) dx

int (sec^(2)x)/((sec x+ tan x)^(5))dx=

int (sec x)/( sqrt(sec x+ tan x))dx=

Evaluate int(sec x /(sec x + tan x))dx

int (1)/(sec x+ tan x)dx=

int (sec^(2)x)/(sqrt(a+b tan x))dx=

int (secx)/(a cos x+ b sin x)dx=

Evalute the following integrals int (sec^(2) x)/( ( 1 + tan x )^(3)) dx

Evaluate the integerals. int (sec ^(2) x)/((1+tan x)^(3))dx on I sub R \\{n pi -(pi)/(4) : n in Z}.

AAKASH SERIES-INDEFINITE INTEGRALS -MISCELLANEOUS QUESTIONS
  1. Evalute the following integrals int ("sec x cos ecx")/(log (tan x)) ...

    Text Solution

    |

  2. int x sin (-x^(2)) dx=

    Text Solution

    |

  3. int (secx)/((sec x+ tan x)^(2))dx=

    Text Solution

    |

  4. Evalute the following integrals int (sec^(2) "x tan x")/(sec^(2) x +...

    Text Solution

    |

  5. Evalute the following integrals int (" tan x")/(1 + cos^(2) x) dx

    Text Solution

    |

  6. Evalute the following integrals int (1)/(x - sqrt(x^(2) + a^(2))) d...

    Text Solution

    |

  7. int (x^(3))/(sqrt(a^(8)-x^(8)))dx=

    Text Solution

    |

  8. Evaluate the integerals. int (dx)/((x^(2) +a^(2))^(2)), (a gt 0) ...

    Text Solution

    |

  9. Evalute the following integrals int (3x + 1)/((x + 2)^(2)) dx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. int (x)/(1+x^(4))dx=

    Text Solution

    |

  13. Evaluate the integerals. int sqrt(e ^(x) -4) dx on [log (e) 4, oo...

    Text Solution

    |

  14. Evaluate the integerals. int sqrt(x+sec x)dx on [(2n -(1)/(2))...

    Text Solution

    |

  15. int (x^(2))/(x^(6)+2x^(3)+2)dx=

    Text Solution

    |

  16. Evalute the following integrals int (3x + 1)/((x + 1)^(2) (x + 3)) ...

    Text Solution

    |

  17. Evalute the following integrals int (x^2)/((x^(2) + 4)(x^(2) + 9)) ...

    Text Solution

    |

  18. Evalute the following integrals int (x^(5))/(x^(3) - 1) dx

    Text Solution

    |

  19. Evalute the following integrals int (" cos x")/(sqrt(3 sin^(2) x - 4...

    Text Solution

    |

  20. int(x^(2)-1)/(x^(4)+1)dx=

    Text Solution

    |