Question Number 90043 by abdomathmax last updated on 21/Apr/20
$${calculate}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({ax}\right)}{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:{with}\:{a}>\mathrm{0} \\ $$
calculate-f-a-0-arctan-ax-x-2-a-2-dx-with-a-gt-0-