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calculate-0-arctan-1-t-2-1-t-2-dt-




Question Number 45975 by maxmathsup by imad last updated on 19/Oct/18
calculate ∫_0 ^∞  ((arctan(1+t^2 ))/(1+t^2 ))dt
$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt} \\ $$

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