Question Number 226022 by fantastic2 last updated on 18/Nov/25

$$\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{{x}} \right)^{\left({x}^{{x}} \right)^{\left({x}^{{x}} \right)^{…} } } {dx}=? \\ $$
Commented by fantastic2 last updated on 18/Nov/25

$${the}\:{ans}\:{is}\:\frac{\pi^{\mathrm{2}} }{\mathrm{12}} \\ $$