MathGroup Archive 1997

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Re: Integrate[x^x,x]??

  • To: mathgroup at
  • Subject: [mg8472] Re: Integrate[x^x,x]??
  • From: Al Arduengo <exal at>
  • Date: Tue, 2 Sep 1997 16:15:09 -0400
  • Sender: owner-wri-mathgroup at

Fahad A Hoymany wrote:
> Hi.  Why can't Mathematica find the integral of x^x?  Or is this
> function simply not integrable?
>         In[82]:= Integrate[x^x,x]
>                             x
>         Out[82]= Integrate[x , x]
> The derivative of x^x does exist.
>         In[83]:= D[x^x,x]
>                   x    x
>         Out[83]= x  + x  Log[x]
> Thanks
> Fahad

This is an expression that is notorious for not having a closed form
solution. As a matter of fact it is mentioned in the Mathematica book as
well. It seems that all new mma users try this one...
Al Arduengo
exal at

     Version: 3.1
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     !M-- !V PS+ PE+ !Y+ PGP+ t+ !5 X+ !R- tv+ b++ !DI- D G e++ h---- 
     r+++ y++++ 

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