Question Number 66085 by mathmax by abdo last updated on 09/Aug/19
![calculate ∫_0 ^1 ((arctan((√(x^2 +2))))/((x^2 +1)(√(x^2 +2))))dx](https://www.tinkutara.com/question/Q66085.png)
$${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{arctan}\left(\sqrt{{x}^{\mathrm{2}} +\mathrm{2}}\right)}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} \:+\mathrm{2}}}{dx} \\ $$