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find-inf-a-b-R-2-0-1-x-2-ln-x-ax-b-2-dx-




Question Number 50388 by Abdo msup. last updated on 16/Dec/18
find inf_((a,b)∈R^2 )      ∫_0 ^1 x^2 (ln(x)−ax−b)^2 dx
$${find}\:{inf}_{\left({a},{b}\right)\in{R}^{\mathrm{2}} } \:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{\mathrm{2}} \left({ln}\left({x}\right)−{ax}−{b}\right)^{\mathrm{2}} {dx} \\ $$

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