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




Question Number 35045 by math khazana by abdo last updated on 14/May/18
find f(x)=∫_0 ^∞    ((arctan(xt))/(1+t^2 ))dt  .
$${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left({xt}\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\:\:. \\ $$

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