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Integrate[x^x,x]??


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


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