This was one of my absolute favorite proofs from undergrad. I was so excited, I stopped a random person on campus to show them.
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‘.....easily....’
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Since it shows up so often in physics game, one eventually knows it by heart: ∫[ e^(−ax^2)] from -∞ to +∞ = √(π/a)

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If you have watched the movie “Gifted” you can see the equation and know negative is missing. At grad level it becomes the base.
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My heart is melting
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La beaute des maths, compliquer la question pour la resoudre
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Ahh, yes. Verily, my good sir. Verily indeed.
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"A true mathematician is one to whom that is as obvious as 'twice two makes four' is to you." ---Stokes
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it is amazing that this proof extends to Fresnel integrals up to some limit in the complex plane : int(exp(-ix^2) dx) = lim_{e->0^+} int(exp(-(e+i)x^2) dx) https://en.wikipedia.org/wiki/Fresnel_integral …
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