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study-the-convergence-of-0-1-x-1-x-x-dx-and-determine-its-value-




Question Number 69390 by turbo msup by abdo last updated on 23/Sep/19
study the convergence of  ∫_0 ^∞   (((1+x)^α −(1+x)^((β) )/x)dx  and determine its value
$${study}\:{the}\:{convergence}\:{of} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:\frac{\left(\mathrm{1}+{x}\right)^{\alpha} −\left(\mathrm{1}+{x}\right)^{\left(\beta\right.} }{{x}}{dx} \\ $$$${and}\:{determine}\:{its}\:{value} \\ $$

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