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find-f-x-0-arctan-x-t-1-t-1-t-2-dt-




Question Number 34866 by a.i msup by abdo last updated on 12/May/18
find f(x)=∫_0 ^∞  ((arctan(x(t +(1/t))))/(1+t^2 ))dt
$${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({x}\left({t}\:+\frac{\mathrm{1}}{{t}}\right)\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\: \\ $$

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