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