# How integrate x^x^x

by Alejandroman8
Tags: integrate
 P: 28 I don't know, but I thougt in the Lambert function If we define $$x^x=z$$, then, x=$$\frac{ln(z)}{W(ln(z)}$$, where W is the Lambert function. So we can write $$x^z=\left(\frac{ln(z)}{W(ln(z)}\right)^z$$, and then integrate. I know, that this is awfull, but, maybe it can help or give any clue.