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Challenging integral (2)

  1. Jun 23, 2008 #1
    Yes, I'm back! With another nasty integral. Here it is:


    [tex]
    \int ({e^{x}})^{x} (\ln(x)+1)x^{2x}\ \mbox{d}x
    [/tex]


    The first thing what I did was write everything in an exponential. But then I ran out of ideas. I even tried completing the square in the exponent but that didn't work out either.

    Does anyone has a clue how to do this one?
     
  2. jcsd
  3. Jun 23, 2008 #2

    Tom Mattson

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    Staff Emeritus
    Science Advisor
    Gold Member

    Are you sure that exponential isn't supposed to be this:

    [tex]e^{x^x}[/tex]

    ?

    Because if it is, then you can let [itex]u=x^x[/itex] and the integral comes out easily.
     
  4. Jun 23, 2008 #3
    Oh sorry I didn't know the Latex command. Yes it should be [tex]
    e^{x^x}
    [/tex]. I'll try the substitution and see what comes out.
     
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