The Gaussian Integral is DESTROYED by Feynman’s Technique

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2024-06-12に共有
In this video I demonstrate the method used to solve the Gaussian integral using Feynman’s integration technique, I was very excited to present this video as it combines 2 of the math world’s favourite internet concepts, the Gaussian integral and Feynman’s integration technique.

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Link to original article:

medium.com/@rthvik.07/solving-the-gaussian-integra…

コメント (21)
  • why is feynman zesty in all your video? :face-red-heart-shape:
  • Good. But as a musician i suggest to turn off music. I cannot resist to pay attention to how Chopin Is played..
  • @renesperb
    I find the calculation of this integral by using polar coordinates much more elegant. Debussy's Arabesque as music in the background is nice.
  • @marcop3049
    Who told/suggested Feynman to use exactly THAT particular f(a)? Of course, he used that function because he knew already the result of the integral. Definitely a tricky technique (like most of Feynman's ones).
  • @TheFinav
    A da is missing from the left-hand side of several of the steps. Apart from this, it’s pleasurable to follow the process.
  • @plkrishh
    You sound so honest and at the same time hilarious making the video worth to watch
  • I personally would like this video without music, as a musician i find it annoying. my brain keeps telling me to listen to the music.
  • @MikelMath
    One thing I never liked about this integration technique is that it is not obvious how to choose the auxiliary function. So it is difficult to teach to students, as they would just have to guess at the auxiliary function (or memorize examples) and hope for the best! Feynman has written that he learned the method from a 1926 math book by Frederick Woods (Advanced Calculus: A Course Arranged with Special Reference to the Needs of Students of Applied Mathematics) that was given to him by his high school physics teacher. Perhaps there were enough examples in that text that Feynman knew a whole whack of sample integrals to solve with this method.
  • I am glad you made the effort to write out every step! Awesome!!!
  • @norliegh
    Hi! That was a great video. I had a question @ 5:19, How should one go about selecting what function to use if they're trying to solve an integral for the first time with feynman's technique?
  • I love maths videos where the average of 4' and 7' is 5'8"
  • @oxbmaths
    Nice application of the Feynman technique. The background music sounds strange and is a distraction under accelerated playback, so maybe it can be omitted for future videos.
  • I did this for a school project, I found the solution in a paper by Keith Conrad if anyone is wondering where
  • @cakiral
    I realized that I reached the end of the video...Feynman/Chopin - worked well! Many thanks!
  • By using addition -subtractaction -multiplication -division :the proton is quatum qubit as a effect of all msth
  • @jongraham7362
    It is amazing that someone would keep playing with that until you get to the answer. I'm impressed. I think the 3D version is much easier to grasp, using infinitesimal rings, but this is more impressive in some ways.
  • I can listen to your music or I can listen to you - what I can’t do is listen to both. Lest see if you can work that out.