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 -----BEGIN GEEK CODE BLOCK----- Version: 3.1 GE d(-) s: a C++ UL+++>$ P+ L++ E+>$ W++ N++ o? K--? w>$ !O---- !M-- !V PS+ PE+ !Y+ PGP+ t+ !5 X+ !R- tv+ b++ !DI- D G e++ h---- r+++ y++++ -----END GEEK CODE BLOCK------