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calculate-0-arctan-2x-x-e-tx-dx-with-t-0-




Question Number 37889 by abdo mathsup 649 cc last updated on 19/Jun/18
calculate  ∫_0 ^∞     ((arctan(2x))/x) e^(−tx)  dx with t ≥0
$${calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{arctan}\left(\mathrm{2}{x}\right)}{{x}}\:{e}^{−{tx}} \:{dx}\:{with}\:{t}\:\geqslant\mathrm{0} \\ $$

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