Question Number 107695 by bemath last updated on 12/Aug/20
$$\:\:\:\spadesuit\mathcal{B}{e}\mathcal{M}{ath}\spadesuit \\ $$$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{{x}−\mathrm{1}}{\left({x}+\mathrm{1}\right)\mathrm{ln}\:{x}}\:{dx}\:?\: \\ $$
Answered by mnjuly1970 last updated on 12/Aug/20
$${ans}:={ln}\left(\frac{\mathrm{2}}{\pi}\right)\: \\ $$$${tools}:\mathrm{1}.{feynman}'{s}\:{trick} \\ $$$$\mathrm{2}.{digamma}\:{function}. \\ $$
Commented by bemath last updated on 12/Aug/20
$${thanks} \\ $$