The Gaussian Integral

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The Gaussian integral is the simplest difficult integral in mathematics. Most difficult integrals require special methods (tricks) and the Gaussian integral is no exception. Here we use the standard trick that every student should know: converting to a double integral and using polar coordinates. While the Gaussian integral is incredibly important we focus in this video on just evaluating it.

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► Artist Attribution
Music By: "After The Fall"
Track Name: "Pieces"
Music Published by: Chill Out Records LLC
License: Creative Commons Attribution 4.0 International (CC BY - 4.0)
  1. BlackTshirtMathProfessor
  2. Integral fo e^-x^2 from - infinity to infinity
  3. Gaussian integral
  4. The Gaussian Integral
  5. Calculus
  6. Mathematics
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Комментарии
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Great video.
Thank you.
Can you please explain why dA=rdrd(theta)

باسلزمريق
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Great video! The Gaussian Integral is always a fun one! Another fun video you could do is a proof on the irrationality of the square root of 2? I know it's a simple topic, but I think it's a good one. : D

georgeklimov
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So what does the value of e have to do with e^-infinity^2

blueschase
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But I am still getting a negative half instead of half

akanshabari