Question Number 31060 by abdo imad last updated on 02/Mar/18
$${calculate}\:{by}\:{recurrence}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{lnx}}{\left(\mathrm{1}+{x}\right)^{{n}} }{dx}\:{with}\:{n}\geqslant\mathrm{2}\:. \\ $$
calculate-by-recurrence-0-lnx-1-x-n-dx-with-n-2-