$$\int _0^{\infty }\int _0^{\infty }\frac{x}{y}\cdot \:e^{-\left(y+\frac{x}{y}\right)}dy dx$$$$\int _0^{\infty }\int _0^{\infty }\frac{x}{y}\cdot \:e^{-\left(y+\frac{x}{y}\right)}dy dx$$

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