Gauss would be Proud.

Today we evaluate a a spicy exponentiated logarithm integral of x^-ln(x) from 0 to infinity with a great gaussian solution :) Enjoy! =D

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[PapaFlammy]

*_Forgot the square in the last integrand lel. Hope you like the first episode of the aDVeNt cAlENdAR and if you did, why not check out some of today's relevant links to support the channel? <3_*

[carlfriedrichgauss]

As Gauss himself, I can confirm that I am proud.

[DukcTaim]

Gotta love the funky variable “ b “, and the abretrary constant “snek”

[mastershooter]

8:43 Ah yes the classic gaussian integral we all know and love the integral of e^-x dx lol

i really enjoyed watching you solve it falme-e

[JanxakaJX]

For those who are worried about the b^2 going to b, the next step is still the same (both b and b^2 are some real number, so they can both be simplified to the square root of pi)

[AndrewDotsonvideos]

Hurry and finish your videos my McDonald’s is getting cold :(

[domc]

I have alternative solution papa (daddy).
We make the substitution, X=e^u
We have integral (e^(-u^2+u))
Then we define

I(t) = e^(-u^2 +tu)

We can use I(0) = sqrt(pi)

Then diff wrt t, and integrate by parts leaving us with a TRIVIAL differential equation :)

[Davquest]

Papa: Let's use something fancy!
Also Papa: 🅱️

[royalefighter]

This is literally the best time of the year. And starting it off with an improvised session about a spicy Integral?! THIS IS A POG MOMENT

[denizgoksu]

Tony practices the piano 20 minutes every day

Effect: He comes to like Jobrahmes Hans

[wuyqrbt]

Minute: 8:48 ... I loved it
(For these kinda of moments I love you Papa Flammy Mathy)

[DatBoi_TheGudBIAS]

Best discount ever, I'm hyped to save 6.9%

[gaussiit]

Child, you have brought great honor to my name.

[ManavKoul]

Thank you papa! Encountered this in probability theory class, super helpful

[dorian]

Our favourite time of the year has begun, the truly immaculate advent calendar is here

[pierfrancescopeperoni]

Tony practices piano only 20 minutes a day??
Ling Ling practices violin at least 40 hours a day!!

[krisbrandenberger]

8:39: The integrand should be e^(-b^2).

[thephysicistcuber]

He protecc
He attacc
But most importantly
Every year he brings Papa Flammy's advent calender bacc.

[Buenofresser]

Does someone know how the name of his shirt is, where the number 8 is rotated by a matrix to get the infinity sign? Icant find it manually

[kimveranga]

HOLY F ADVENT CALENDAR I LOVE THIS SHIT. Besides Destroy Dick December starting today, this is another great way to start December. I hope you may cover compound inequalities in the calendar or at some time soon.