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RT Mathematica: Three fundamental integrals stand out for their elegant closed forms despite spanning infinite domains. – The Gaussian ∫_{-∞}^{∞} e…

RT MathematicaThree fundamental integrals stand out for their elegant closed forms despite spanning infinite domains. - The Gaussian ∫_{-∞}^{∞} e^{-x²} dx equals √π. - The Lorentzian ∫_{-∞}^{∞} 1/(x² + 1) dx totals π. - The sinc function ∫_{-∞}^{∞} sin(x)/x dx also equals π. These identities, established through techni