Home
Class 12
MATHS
Evalute the following integrals int sq...

Evalute the following integrals
`int sqrt(1 - cos 2 x)" dx " x in [ 0, pi]`

Text Solution

Verified by Experts

The correct Answer is:
`- sqrt(2) ` cos x + c
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

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

    AAKASH SERIES|Exercise EXERCISE - 1.2(SHORT ANSWER QUESTIONS )|29 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|3 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 (1)/(1 - cos x) dx

Evalute the following integrals int sqrt(1 + sin 2 x ) " dx , x in [ - (pi)/(2), (pi)/(2)]

Evalute the following integrals int sqrt(16- 25 x^(2) ) dx

Evalute the following integrals int sqrt(1 + 3x - x^(2)) dx

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

Evalute the following integrals int (sqrt(3x -2)) dx

Evalute the following integrals int sqrt(16 + x^(2)) dx

Evalute the following integrals int sqrt(49 - x^(2)) dx

Evalute the following integrals int cos x cos 2x dx

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

AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.1(VERY SHORT ANSWER QUESTIONS)
  1. Evalute the following integrals int (1 + cos^(2)x )/(1 - cos 2x ) dx

    Text Solution

    |

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

    Text Solution

    |

  3. Evalute the following integrals int sqrt(1 - cos 2 x)" dx " x in [ 0...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Evalute the following integrals int (2 cos ^(3) x + 3 sin^(3)x )/(si...

    Text Solution

    |

  8. Evalute the following integrals int ("cosec "x)/("cosec" x - cotx") ...

    Text Solution

    |

  9. Evaluate the integerals. int sqrt(1- sin 2x)dx on I sub{2n pi -(...

    Text Solution

    |

  10. Evalute the following integrals int sqrt(1 + sin 2 x ) " dx , x in [...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Evaluate the integerals. int (e^(x)-(1)/(x)+(2)/(sqrt(x^(2)+1))) d...

    Text Solution

    |

  14. Evaluate the integerals. int ((1)/(1-x^(2))+(1)/(1+x^(2))) dx " on...

    Text Solution

    |

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

    Text Solution

    |

  16. Evaluate the integerals. int((1)/(sqrt(x))+(2)/(sqrt(x^2-1))-(3)/...

    Text Solution

    |

  17. Evalute the following integrals int (sec^(2) x - cos x + x^(2)) dx

    Text Solution

    |

  18. Evalute the following integrals int ( " sec x.tan x" + (3)/(x) - 4) ...

    Text Solution

    |

  19. Evaluate the integerals. int (x^(3) -cos x +(4)/(sqrt(x^(2) +1)))d...

    Text Solution

    |

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

    Text Solution

    |