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calculate-f-x-0-e-t-2-arctan-xt-2-dt-




Question Number 42189 by maxmathsup by imad last updated on 19/Aug/18
calculate  f(x) = ∫_0 ^∞   e^(−t^2 )  arctan(xt^2 )dt
$${calculate}\:\:{f}\left({x}\right)\:=\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{t}^{\mathrm{2}} } \:{arctan}\left({xt}^{\mathrm{2}} \right){dt} \\ $$

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