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Homework Help: Challenging integral (2)

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

    \int ({e^{x}})^{x} (\ln(x)+1)x^{2x}\ \mbox{d}x

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



    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]
    [/tex]. I'll try the substitution and see what comes out.
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