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Gamma Mathematica on Instagram: "The Gaussian Integral: Why √π is Everywhere in Math & Science\n\nHave you ever wondered why the "bell curve" has such a mathematically perfect area? Let's unpack one of the most elegant results in all of mathematics: ∫₋∞ᴵᴺᶠ e⁻ˣ² dx = √π.\n\nIt seems impossible at first—how can this beautifully smooth curve, fading to zero at both ends, have an area exactly equal to the square root of π? The function e⁻ˣ² has no elementary antiderivative (thank the Risch algorithm

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