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Integral: x/1+sqrt(x)

  1. Jan 22, 2007 #1
    Hey guys,

    I could really use some hints on how to solve the integral [tex] \int \frac{x}{1+\sqrt{x}} dx [/tex]
    I tried some substitutions, and doing some manipulations on the expression, with no solution. Any help would be much appreciated.

    Regards,

    Kerbox
     
  2. jcsd
  3. Jan 22, 2007 #2
    [tex]1+\sqrt{x} = t[/tex]
     
  4. Jan 22, 2007 #3
    yea, tried that. but I end up with an expression where x cant be canceled. unless Im missing something here.
     
  5. Jan 22, 2007 #4

    cristo

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    Post your steps, and we can see if you made a mistake.
     
  6. Jan 22, 2007 #5

    morphism

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    Notice that x = (t - 1)^2.
     
  7. Jan 23, 2007 #6
    you could use the residue theorem from complex analysis (I think)
     
  8. Jan 23, 2007 #7
    The residue theorem does not pertain to antiderivatives.
     
  9. Jan 23, 2007 #8

    Gib Z

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    I helped someone else on exactly the same integral in scienceforums.net and I have a really good feeling your the same person, since your post is identical..and your username is the same >.<

    Just incase..: http://www.scienceforums.net/forum/showthread.php?t=24664

    My name in scienceforums.net is Ragib btw.
     
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