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0-1-x-x-x-x-x-x-dx-




Question Number 226022 by fantastic2 last updated on 18/Nov/25
∫_0 ^1 (x^x )^((x^x )^((x^x )^(...) ) ) dx=?
$$\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{{x}} \right)^{\left({x}^{{x}} \right)^{\left({x}^{{x}} \right)^{…} } } {dx}=? \\ $$
Commented by fantastic2 last updated on 18/Nov/25
the ans is (π^2 /(12))
$${the}\:{ans}\:{is}\:\frac{\pi^{\mathrm{2}} }{\mathrm{12}} \\ $$

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