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find-lim-n-0-arctan-nx-n-1-x-2-dx-




Question Number 34271 by math khazana by abdo last updated on 03/May/18
find lim_(nā†’+āˆž)  āˆ«_0 ^āˆž   ((arctan(nx))/(n(1+x^2 )))dx
$${find}\:{lim}_{{n}\rightarrow+\infty} \:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({nx}\right)}{{n}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{dx} \\ $$

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