Home
Class 12
MATHS
Integration using trigonometric identiti...

Integration using trigonometric identities :
`int(1)/(1+sin^(2)x)dx=....`

A

`(1)/(sqrt(2))tan^(-1)(sqrt(2)tanx)+k`

B

`sqrt(2)tan^(-1)(sqrt(2)tanx)+k`

C

`-(1)/(sqrt(2))tan^(-1)(sqrt(2)tanx)+k`

D

`-sqrt(2)tan^(-1)(sqrt(2)tanx)+k`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-A)|6 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-B)|4 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Objective Type Questions)|15 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

Integration using rigonometric identities : int(1+cosx)/(sin xcos x)dx=....+c

Integration using rigonometric identities : int sin(101x)*sin^(99)x dx=...+c

If Integration using rigonometric identities : int(1)/(1+cotx)dx=px+q

Integration using trigonometric identities : int sec^(4)x tanx dx=....

Integration using trigonometric identities : int tan^(4)x dx=....

Integration using rigonometric identities : int(sin 2x)/(sin^(4)x+cos^(4)x)dx=...

If Integration using rigonometric identities : int(dx)/(sqrt(sin^(3)x(sinx+2cosx)))=f(x)+c then f((pi)/(4))=....

KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Integration using trigonometric identities : int sec^(4)x tanx dx=.....

    Text Solution

    |

  2. Integrate the following functions : int(1+tanx)/(x+logsecx)dx

    Text Solution

    |

  3. Integration using trigonometric identities : int(1)/(1+sin^(2)x)dx=....

    Text Solution

    |

  4. int(sin^(3)2x)/(cos^(5)2x)dx=...

    Text Solution

    |

  5. int(1+tan^(2)x)/(1-tan^(2)x)dx=....

    Text Solution

    |

  6. int(cos4x+1)/(cosx-tanx)dx=k cos4 x+c then.....

    Text Solution

    |

  7. Integration using rigonometric identities : int ((sin theta+cos thet...

    Text Solution

    |

  8. int sec^((2)/(3))x*"cosec"^((4)/(3))x dx=....

    Text Solution

    |

  9. If Integration using rigonometric identities : int(sec^(2)x)/((1+tan...

    Text Solution

    |

  10. Integration using rigonometric identities : int tanx*sec^(2)x sqrt(1...

    Text Solution

    |

  11. Integration using rigonometric identities : int cos^(-(3)/(7))x sin^...

    Text Solution

    |

  12. int sec^(2)x*cosec^2(x)dx=.....+c

    Text Solution

    |

  13. int((sinx)^(99))/((cosx)^(101))dx=....+c

    Text Solution

    |

  14. Integration using rigonometric identities : int (x sin x)/((x cos x-...

    Text Solution

    |

  15. int(1-cos x)cosec^(2)xdx=.....+c

    Text Solution

    |

  16. If Integration using trigonometric identities : int sin 2x*cos 3 x d...

    Text Solution

    |

  17. If Integration using rigonometric identities : int (cos 4x+1)/(cot x...

    Text Solution

    |

  18. Integration using rigonometric identities : int(1+cosx)/(sin xcos x)...

    Text Solution

    |

  19. Integration using rigonometric identities : int (sin x cos x)/(sqrt(...

    Text Solution

    |

  20. If Integration using rigonometric identities : int(1)/(1+cotx)dx=px+...

    Text Solution

    |