Question Number 37887 by abdo mathsup 649 cc last updated on 19/Jun/18
$${find}\:{f}\left(\alpha\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{arctan}\left(\mathrm{1}+{e}^{−\alpha{x}} \right){dx}\:{with}\:\alpha\geqslant\mathrm{0} \\ $$
find-f-0-1-arctan-1-e-x-dx-with-0-