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find-the-value-of-0-arctan-x-1-x-1-x-2-dx-




Question Number 27621 by abdo imad last updated on 11/Jan/18
find the value of  ∫_0 ^∞  ((arctan(x+(1/x)))/(1+x^2 ))dx .
$${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({x}+\frac{\mathrm{1}}{{x}}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:. \\ $$

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