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Question Number 56187 by maxmathsup by imad last updated on 11/Mar/19
study the convergence of ∫_0 ^∞    (((1+x)^α −(1+x)^β )/x) dx  .
$${study}\:{the}\:{convergence}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{\left(\mathrm{1}+{x}\right)^{\alpha} −\left(\mathrm{1}+{x}\right)^{\beta} }{{x}}\:{dx}\:\:. \\ $$

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