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




Question Number 27803 by abdo imad last updated on 15/Jan/18
find the value of  ∫_0 ^1   ((arctan(x +x^(−1) ))/(1+x^2 )) dx
$${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{arctan}\left({x}\:+{x}^{−\mathrm{1}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx} \\ $$

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