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How integrate 1/(x(1+x^2)^0.5) dx

  1. Oct 21, 2016 #1
    • Poster has been reminded to use the Homework Help Template and show their work
    Hi everyone, Can you tell me how to integrate the following equation?
    Integrate(1/(x(1+x^2)^0.5) dx
     
  2. jcsd
  3. Oct 21, 2016 #2
    Hi Yuravv:

    I suggest you try substituting x = sin y.

    Hope that helps.

    Regards,
    Buzz
     
  4. Oct 21, 2016 #3
    --------------------
    this dos'n help , do you have any anther suggestion?
    tanks a lot.
     
  5. Oct 21, 2016 #4
    Substitute ##x=\tan{y}##.
     
  6. Oct 21, 2016 #5

    Ray Vickson

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    Whenever you see something like ##\sqrt{1+x^2}## that is a reminder that ##1 + \sinh^2y = \cosh^2y##, suggesting that ##x = \sinh y## might be a good change of variables.
     
    Last edited: Oct 21, 2016
  7. Oct 21, 2016 #6
    tanks a lot.
    your answer helped me )
     
  8. Oct 21, 2016 #7
    tanks this is help me )
     
  9. Oct 21, 2016 #8

    berkeman

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    Staff: Mentor

    So please show us your work on this integral using the hints you have received...
     
  10. Oct 21, 2016 #9

    vela

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    Yes, please proofread what you've written before hitting submit.
     
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