Question Number 34269 by math khazana by abdo last updated on 03/May/18
$${calculate}\:{I}\left(\lambda\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{\lambda} \right)} \\ $$