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Integrate (xe^x)/(sqrt[1+e^x])

  1. Feb 9, 2010 #1
    1. The problem statement, all variables and given/known data
    Integrate: (xe^x)/(sqrt[1+e^x])


    2. Relevant equations



    3. The attempt at a solution

    I tried substituting

    u = e^x

    So the equation became:

    Integrate: ln|u|/sqrt[1+u]

    But... That doesn't help me.



    Trig substitution doesn't really help, neither does partial fractions. By parts doesn't work because of the fraction... So there's GOT to be a substitution I can't see.
     
  2. jcsd
  3. Feb 10, 2010 #2
    Try [tex]u = \sqrt{1 + e^{x}}[/tex]
     
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