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calculate-I-0-xe-x-2-1-e-2x-2-dx-




Question Number 38201 by prof Abdo imad last updated on 22/Jun/18
calculate I = ∫_0 ^∞    xe^(−x^2 ) (√(1−e^(−2x^2 ) ))dx
$${calculate}\:{I}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:{xe}^{−{x}^{\mathrm{2}} } \sqrt{\mathrm{1}−{e}^{−\mathrm{2}{x}^{\mathrm{2}} } }{dx} \\ $$

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