Question Number 29850 by abdo imad last updated on 13/Feb/18
$${find}\:\:{I}\:\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{\left(\mathrm{1}+{x}\right)^{−\frac{\mathrm{1}}{\mathrm{4}}} \:\:−\left(\mathrm{1}+{x}\right)^{−\frac{\mathrm{3}}{\mathrm{4}}} }{{x}}{dx}\:. \\ $$