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Help with an integral

  1. Jan 21, 2014 #1
    Hi all!
    I'm trying to solve the Schrodinger equation for a fusion process. I came up with this integral
    [tex]
    \int dx\sqrt{\frac{1}{x}-1}
    [/tex]
    I can't see how to solve it... can you please give me an hint?

    Thank you
     
  2. jcsd
  3. Jan 21, 2014 #2
    Ok... I applied the integration by part and now I have
    [tex]
    \int dx\frac{1}{x\sqrt{x-1}}
    [/tex]
    I know that the result is proportional to [itex]atan(\sqrt{x-1})[/itex] and this is also correct by a physical point of view. The problem is how to prove that the integral is proportional to the arctangent....
     
  4. Jan 21, 2014 #3
    Ok... I got it! I made the substitution [itex]y=\sqrt{x-1}[/itex] and I finally solved the integral
     
  5. Jan 21, 2014 #4

    phyzguy

    User Avatar
    Science Advisor

    Glad we could help!
     
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