Home
Class 12
MATHS
Evaluate the following integrals : int...

Evaluate the following integrals :
`int 1/(cos^(2)x+2sin^(2)x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`1/(sqrt(2))tan^(-1)(sqrt(2)tanx)+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION XII MOST IMPORTANT QUESTIONS FOR PRACTICE)|17 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int1/(1-cos^2x)dx .

Evaluate the following integrals: int(1)/(1-cos2x)dx

Evaluate the following integrals: int x cos^(2)x dx

Evaluate the following integrals: int cos^5x sin2x dx

Evaluate the following integrals: int(1)/(1+x-x^2)dx

Evaluate the following integrals: int 1/(sin^2x cos^2x) dx

Evaluate the following integrals: int sin^2x cos^2x dx

BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Evaluate the following integrals : int1/(sqrt(x)-x)dx

    Text Solution

    |

  2. Evaluate the following integrals : int 1/ (x-sqrt(x))dx

    Text Solution

    |

  3. Evaluate the following integrals : int 1/(cos^(2)x+2sin^(2)x)dx

    Text Solution

    |

  4. Evaluate the following integrals : int 1/(sin^(2)x+4cos^(2)x)dx

    Text Solution

    |

  5. Evaluate int0^(pi/2) (cosx)/((2+sinx)(3+sinx) ) dx

    Text Solution

    |

  6. Evaluate int0^(pi/2) (cosx)/((3+sinx)(4+sinx) ) dx

    Text Solution

    |

  7. Evaluate the following integrals : int(0)^(pi//2)(cosx)/((4+sinx)(5+...

    Text Solution

    |

  8. Evaluate the following integrals : int(0)^(pi//2)(2sinx+3cosx)/(sinx...

    Text Solution

    |

  9. Using properties of definite integrals, show that int(0)^(pi//2)(xdx...

    Text Solution

    |

  10. Using properties of definite integrals, show that int(0)^(pi//2)(sin...

    Text Solution

    |

  11. Prove that : int0^pi (xtanx)/(secxcosecx)dx =pi^2/4.

    Text Solution

    |

  12. Evaluate: int(5x)/((x+1)(x^(2)-4))dx

    Text Solution

    |

  13. Evaluate the following integrals : intsin^(2)x cos^(2)x dx

    Text Solution

    |

  14. Evaluate the following integrals : int (sin^(3)x)/(cosx)dx

    Text Solution

    |

  15. Evaluate the following integrals : int (cos^(3)x)/(sinx)dx

    Text Solution

    |

  16. Evaluate the following integrals : int (dx)/(e^(x)+3e^(-x))

    Text Solution

    |

  17. Evaluate the following integrals : int 1/(sqrt(x^(2)-6x+16))dx

    Text Solution

    |

  18. Evaluate,int sqrt(((2-x)/(2+x)) .dx

    Text Solution

    |

  19. Evaluate the following integrals : int sqrt((3-x)/(3+x))dx

    Text Solution

    |

  20. Evaluate : int log (1+x^2)dx.

    Text Solution

    |