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 Integration of x^x Gottfried Ultimate Fellow Posts: 766 Threads: 119 Joined: Aug 2007 02/25/2014, 08:28 AM (This post was last modified: 02/25/2014, 08:32 AM by Gottfried.) (11/25/2013, 09:59 PM)Ryan Wrote: Hi, I was wondering that I might have found a solution for the integral x^x. The solution is very complicated and has an infinite number of terms but I would like to know if it can be useful in mathematics. Assuming I found the correct solution, does this mean anything? RyanHi Ryan/Hi razrushil - Hmm, I don't see how this can be *specially* useful for tetration (everything can of course be somehow useful). The integration here would be related to the variability in the two occurences of x; but the interesting feature of tetration seems to me, that it has variability/an indeterminate in the number, the "height", of the iteration - and it would be especially interesting if there was an integration with respect to that height-parameter assuming a constant exponential base. As far as I recall, that integral is also shown at "mathworld" see http://mathworld.wolfram.com/SophomoresDream.html Gottfried Gottfried Helms, Kassel « Next Oldest | Next Newest »

 Messages In This Thread Integration of x^x - by Ryan - 11/25/2013, 09:59 PM RE: Integration of x^x - by razrushil - 02/24/2014, 06:10 AM RE: Integration of x^x - by Gottfried - 02/25/2014, 08:28 AM

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