Question Number 131166 by SEKRET last updated on 02/Feb/21
$$\:\int_{\mathrm{0}} ^{+\infty} \frac{\mathrm{1}}{\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{x}}} \centerdot\boldsymbol{\mathrm{ln}}\left(\boldsymbol{\mathrm{x}}\right)}\boldsymbol{\mathrm{dx}}=? \\ $$$$ \\ $$
Commented by Dwaipayan Shikari last updated on 02/Feb/21
$${Divergent} \\ $$$${If}\:\int_{\mathrm{0}} ^{\infty} {e}^{−{x}} {log}\left({x}\right){dx}=−\gamma \\ $$
Commented by mnjuly1970 last updated on 02/Feb/21
$${ok}…{thanks}\:\:{alot}\:\:… \\ $$