Alejandroman8
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how integrate x^x^x ?my teacher ask me)what do you think about it?
Integrate x^x^x: What do you think?
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I would suggest numerically! Certainly there is no elementary function that has that as its derivative.
Grufey
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I don't know, but I thougt in the Lambert function
If we define [tex]x^x=z[/tex], then, x=[tex]\frac{ln(z)}{W(ln(z)}[/tex], where W is the Lambert function. So we can write
[tex]x^z=\left(\frac{ln(z)}{W(ln(z)}\right)^z[/tex], and then integrate.
I know, that this is awfull, but, maybe it can help or give any clue.
Alejandroman8
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Thanks)
but i think it took not one hour to take the result
JJacquelin
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@ Grufey : False because you forgot the dx.
So, even more complicated !
.
@ Alejandroman8 : a primitive of x^(x^x) is the function Sphd(1,1;x)
Is it a joke ? Just read the preamble of "The Somophore's Dream Function" :
http://www.scribd.com/JJacquelin/documents
A so simple answer ! (§.12)
