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∫0∞e−2x−e−πxxdx\displaystyle \Large \int_{0}^{\infty} \dfrac{e^{-\sqrt{2}x} - e^{-\pi x}}{x} dx∫0∞xe−2x−e−πxdx
If the above definite integral equals SSS, find ⌊1000S⌋\lfloor 1000S \rfloor⌊1000S⌋.
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