: Mathematics: Gaussian integral

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Gaussian integral

The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function ${\\displaystyle f(x)=e^{-x^{2}}}$ over the entire real line. Named after the German mathematician Carl Friedrich Gauss, the integral is
${\\displaystyle \\int _{-\\infty }^{\\infty }e^{-x^{2}}\\,dx={\\sqrt {\\pi }}.}$

(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Gaussian_integral)

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