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study-the-convergence-of-0-1-1-2x-1-x-ln-1-x-dx-and-determine-its-value-




Question Number 60894 by mathsolverby Abdo last updated on 26/May/19
study the convergence of   ∫_0 ^1  (((√(1+2x))−(√(1+x)))/(ln(1+x)))dx  and determine its  value.
$${study}\:{the}\:{convergence}\:{of}\: \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\sqrt{\mathrm{1}+\mathrm{2}{x}}−\sqrt{\mathrm{1}+{x}}}{{ln}\left(\mathrm{1}+{x}\right)}{dx}\:\:{and}\:{determine}\:{its} \\ $$$${value}. \\ $$

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