Question Number 34308 by prof Abdo imad last updated on 03/May/18
$${let}\:\:{I}\:=\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{\left(\mathrm{1}+{x}\right)^{−\frac{\mathrm{1}}{\mathrm{4}}} \:\:−\left(\mathrm{1}+{x}\right)^{−\frac{\mathrm{3}}{\mathrm{4}}} }{{x}}{dx} \\ $$$${prove}\:{that}\:{I}\:{isconvergent}\:{and}\:{find}\:{its}\:{value}\:. \\ $$