Question Number 69390 by turbo msup by abdo last updated on 23/Sep/19
$${study}\:{the}\:{convergence}\:{of} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:\frac{\left(\mathrm{1}+{x}\right)^{\alpha} −\left(\mathrm{1}+{x}\right)^{\left(\beta\right.} }{{x}}{dx} \\ $$$${and}\:{determine}\:{its}\:{value} \\ $$