@swimiborj5807
Beautiful, simple, clear, and elegant explanation, many thanks
@HayderAliBabul
the best explanation of e^-x2 integration............ everyone explains like the Simpson's episode.. rdr hardi har har.. thanks..........
@matiasaraya8083
I have to say the excellent job you did explaining this. I'm not a native English speaker, but I understood everything perfectly. Congrats
@txikitofandango
Very nice demonstration that did not require Jacobian matrices and other transformations
@MihaiNicaMath
I made a version of this explanation on my video on my channel for pi day this year! My version has some probability intuiton mixed in
@bhgtree
Thank you for this wonderful, clear and detailed explanation.
@MathsAndPhysics
You can solve this using Hessian matrix to get extra R. From denoting x=Rcosa ,y =Rsina you can take derivative x by R which is cos(a) and by a which is -Rsina.Same operation for y and get sina , Rcosa .then create matrix I cosa -Rsina I I sina RcosaI If you calculate determinant you get R and your will look like double integral re^(r^2)drda where you can solve by interchange r^2 =t ,2rdr=dt
@x.in_hype
Finally The Gaussian integral !! I already watched multiple videos on it but it was years ago I got a revision
@ParaDox-xb3qw
My brain just exploded 🤯
@s0undwavyy
You can also just move your x and y into polar coordinates, and consider Jacobian matrix.
@user-mathematicprof
Great, I really enjoyed this video, I have already subscribed to your channel, and I gave you a like for this great video.
@Leo-di9fq
Great work!
@gabygamerhd
cara muito foda, parabéns mesmo pelo conteúdo, muito simples e acessivel pra que tem o minimo entendimento de calculo e até pra quem nao tem, acho que fica claro de onde vem esse valor \pi, nessa prova eu nunca tinha entendido o motivo de I^2 ser igual a uma integral dupla, mas essa explicação de uma integral ser constante em relação a outra simplifica tudo.
@mohammedpatel3051
Well explained
@qzorn4440
Most interesting information. 💯🥳✔️ Thank you.
@Amelioration-ß
Gauss was pretty cool.
@MostRightWingManInBritain
The correct answer is because it attracts lots of views and it boosts the algorithm performance
@bye-bye4736
I really injoy it❤❤❤
@OmarBenjumea
A masterpiece!
@anushakamakshy