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explicit-f-x-0-arctan-xt-t-2-x-2-dt-with-x-gt-0-




Question Number 78135 by msup trace by abdo last updated on 14/Jan/20
explicit f(x)=∫_0 ^∞   ((arctan(xt))/(t^2 +x^2 ))dt  with x>0
$${explicit}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({xt}\right)}{{t}^{\mathrm{2}} +{x}^{\mathrm{2}} }{dt} \\ $$$${with}\:{x}>\mathrm{0} \\ $$

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