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 October 11th, 2012, 06:26 AM #1 Newbie   Joined: Oct 2012 Posts: 9 Thanks: 0 Crazy integral Hello i have problem with integrating function $x^x$ I tried something like this $x^x=e^{xln(x)}$ And i tried to integrate taylor series but best i can get is sum with exponentional integral in it or gamma function. Is there another way to do it ? Thank you
 October 11th, 2012, 06:32 AM #2 Math Team   Joined: Sep 2007 Posts: 2,409 Thanks: 6 Re: Crazy integral No, there isn't. Do you understand that very few functions can be integrated as an elementary functions?
 October 11th, 2012, 06:35 AM #3 Newbie   Joined: Oct 2012 Posts: 9 Thanks: 0 Re: Crazy integral I know there is not any formula for this integral. But iam asking if there is sum that will not contain exponentional integral or gamma function in it.
 October 11th, 2012, 06:48 AM #4 Senior Member   Joined: Aug 2011 Posts: 334 Thanks: 8 Re: Crazy integral It isn't a "crazy integral", but a "Sophomore's dream" ! To go beyond this jokes, have a look at the paper : "Sophomore's Dream Function" : http://www.scribd.com/JJacquelin/documents
 October 11th, 2012, 08:47 AM #5 Newbie   Joined: Oct 2012 Posts: 9 Thanks: 0 Re: Crazy integral Thank you for that link, it was very interesting reading :P
 December 4th, 2015, 01:03 PM #6 Senior Member   Joined: Dec 2015 From: somewhere Posts: 647 Thanks: 94

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