A crazy approach to the gaussian integral using Feynman's technique 

NOT THE REVERSE COWGIRL FOR INTEGRALS NOOOOO

In my opinion, the smoothest evaluation of the Gauss integral is to take its aquare, write it as a double integral, and use polar coordinates.

😂😂😂 I was hooked at reverse cowgirl trick for integration

What a truly beautiful way to evaluate the Gaussian integral! Your work shall not be underappreciated.

thanks a tonnn !!! i can finally understand this integral because the feynmann technique is fantastic. i can literally understand the gaussian integral at 17 !! THANKS A TONNN

At some point it looked like Laplace's approach but it is actually a great approach. But the easiest way is squaring and using polar coordinates

No fancy uses of Gamma function properties, a clean approach. Nice!

Another awesome integral! Can't stop watching these!

Another way is, simply do substitution x^2 = t, then use Feynmann technique within this use the Gamma function and then the Laplace transformation porperty, L [f(t)/t] = int{s to inf} L(S) ds.

"A crazy approach" That alone tells you that it's gonna work.

That was very, very clever. Especially the substitution part....

This is a really cool way to do it besides switching to polar. Nice!

Thanks, this is one of my favourite videos on all the platform, never really understood polar cordinates :p

I couldnt even do simple equations in math yet i‘m here watching this and literally understanding zero. This stuff gives me ptsd from highschool times.

Doesn't 2:00 follow from the fundamental theorem of calculus, no differentiation under the integral required?

We can use the gamma function and it will be in the end gamm(1/2)= √π

I watched the video and started crying after 40 seconds

Very nice! Nitpicking, you could have explained why the limit can be taken inside the integral in the final step.

That's a cool trick

"reverse cowgirl for integration" ... subbed!

excellent thumbnail choice

I would define the square of the integral to be J(t) not I(t), namely because I is defined as being the integral from zero to infinity.

Thanks a lot for this cool solution👌

bro just pulled a reverse feynman technique, never seen a partial derivative be taken out of the integral wtf did I just watch lmao

Can anyone suggest me a book to start with feynmanns integrals???

I didn't quite understand the change of variable in 3:31 can someone explain? thank u

When taking the derivative why you do these with the limits? Is there a general rule?

Lovely!

U r Monster

Well gamma function is op

at 0:54 why its square ? thank you sir.

I love maths

Root pi

Oh no, not this pic of Feynman! 🤣🤣🤣

how did u come up with the I(t) and then square it lol

What application is he using to solve this integral?

ahh... a classic problem solved in a classic way, you should try with contour integration next. 0:47 THIS IS NOT CLASSIC! THIS NOT CLASSIC AT ALL!

Ramanujan solved like this by square root he used beta function

Why I am not smart like you

How can I suggest you a problem? Mail?

Seems to be overkill of this problem

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Why complicate things? It's useless! The polar coordinates method is still the best!