Question Number 131138 by liberty last updated on 02/Feb/21
$$\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{arctan}\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2}}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2}}}\:\mathrm{dx}\:=? \\ $$
Answered by EDWIN88 last updated on 02/Feb/21
$$=\frac{\mathrm{5}\pi^{\mathrm{2}} }{\mathrm{96}} \\ $$