The Gaussian Integral: The Most Beautiful Proof in Calculus
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YouTubeMathematisa
The Gaussian Integral: The Most Beautiful Proof in Calculus
📐 The Gaussian Integral: A Visual & Intuitive Proof In this video, we explore one of the most famous and elegant results in calculus: the Gaussian integral. We’ll show why ∫ from -∞ to ∞ of e⁻ˣ² dx equals √π—not through dry computation, but through a beautiful geometric argument using polar coordinates. This proof is a ...
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