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

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

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 texas.net
http://lonestar.texas.net/~exal
1:387/310.4

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