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UNBELIEVABLE calculus result using Feynman integration 

Maths 505
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Definitely one of the most beautiful results ever published!
Important derivatives of the gamma function:
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Integral for η'(1):
• ONE OF THE COOLEST INT...
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30 сен 2024

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Комментарии : 40   
@maths_505
@maths_505 9 месяцев назад
Derivatives of the eta and zeta functions at zero: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-DiLo9i6Io0M.html
@darkchocospy7080
@darkchocospy7080 Год назад
bros pullout game is crazy
@maths_505
@maths_505 Год назад
Which is why I've never had to get up in the middle of the night to go out and buy milk
@insouciantFox
@insouciantFox Год назад
Feynman's trick is a valuable trick to have... In mathematics as well
@maths_505
@maths_505 Год назад
😂😂😂
@dariuszpanchyrz2784
@dariuszpanchyrz2784 Год назад
What can I say. The most creative and the best math channel on the yt. Respect and regards.
@timemasterdm2462
@timemasterdm2462 Год назад
2:17 AYO‽
@definitelynottigerwhitten5865
I was not expecting that😂
@YahontAction
@YahontAction 6 месяцев назад
Я не знаю английского языка, я 25 лет назад учил высшую математику и занимаюсь совсем другими делами, я смотрю этот ролик вообще без звука. И мне все понятно! Как бывший фанат интегрального исчисления, жму руку - фанату действующему!!!
@nizogos
@nizogos 3 месяца назад
The substitution which leads to the use of the gamma function can be avoided if we view the integral as the laplace transform of L{x^(s-1)}(t) evaluated at t=(k+1)
@GeoPeron
@GeoPeron 4 месяца назад
I understand that a lot of dx's were missed through the videos on this channel... but I don't think writing two of them in one integral is how you pay it back 🤔😅 2:17 also nice explanation, very elegant solution
@jameyatesmauriat6116
@jameyatesmauriat6116 5 месяцев назад
Can you please refer us to these freightening basics for these advanced integration techniques? What is eta function? Is it related to Dirichlet?
@kaanetsu1623
@kaanetsu1623 Год назад
Amazing!! Pls bring derivative of dirchelet eta of zero video
@jameyatesmauriat6116
@jameyatesmauriat6116 5 месяцев назад
Where is Feynman trick in the solution?
@bartekabuz855
@bartekabuz855 Год назад
how do you come up with those integrals?
@maths_505
@maths_505 Год назад
That's easy.....making mistakes while solving other integrals
@bartekabuz855
@bartekabuz855 Год назад
chicken egg problem?@@maths_505
@SuperSilver316
@SuperSilver316 Год назад
Or do the problem in such an insane way that you just generate more integrals from the target integral.
@maths_505
@maths_505 Год назад
Oh yeah I've tried that too
@manstuckinabox3679
@manstuckinabox3679 Год назад
Ah yes, the age-old technique of invoking the mellin transform without giving my boy mellin any mellons, if mellin was still around he'd be copyright claiming left and right.
@TheEternalVortex42
@TheEternalVortex42 Год назад
Is the Mellin transform one of the few counterexamples of Stigler's law?
@morveman_yt9567
@morveman_yt9567 Год назад
Another incredible integral… just a question I tried to find the value of the sum as k goes from 1 to infinity of k^-k but never got the result if anyone knows…
@maths_505
@maths_505 Год назад
It doesn't converge to a nice closed form
@morveman_yt9567
@morveman_yt9567 Год назад
@@maths_505 oh that’s maybe why I couldn’t find one… thanks !!!
@insouciantFox
@insouciantFox Год назад
I know it's the same as the integral from 0 to 1 of x^-x
@EIswazi
@EIswazi 9 месяцев назад
You can simplify the ln^2(2) even further by writing it as ln(2)ln(2) and then applying properties of logarithms to yield ln(2^ln(2)). Then you can combine all of the logarithms and bring in the 1/2 to make the whole thing just the argument of one logarithm and it looks so cool imo.
@roykamaan3357
@roykamaan3357 Год назад
Forgot 1/2 at the for the (lynx)^2. Thank you for the integrals
@shivanshnigam4015
@shivanshnigam4015 Год назад
Hey can we do this using the Feynman Technique Integral from 0 to 1 of ((e^-x)-1)/x Or this integral is just not doable
@The_Shrike
@The_Shrike Год назад
Hey man, I think I posted the same comment on another vid, but still wanted to see if anything could be done about it. I watch all of your videos from my phone, and recently I have been unable to view it fullscreen since a bunch of the work gets cut off. It may be an issue from my end, but this only started happening recently (maybe you started doing these on a different device), and it’s quite difficult to watch it vertically. Could you check things out in your end by any chance? Thanks
@giuseppemalaguti435
@giuseppemalaguti435 Год назад
Ho provato con I(a)=x^a....I=I'(0),ma poi boh .
@Tanvir_Ahmed_Earth
@Tanvir_Ahmed_Earth Год назад
Lol
@MrWael1970
@MrWael1970 Год назад
Really awesome. This is very smart. Thank you
@absxn
@absxn Год назад
jeeeeeeeeeeeeez nice one👌
@ranjithkumararunachalam3844
How partial differentiation works? Can we integrate partially?
@insouciantFox
@insouciantFox Год назад
Partial differentiation is the same as normal diff. except you treat all other parameters as constant. Total diff. (with upright d/dx) of a parameter involves the use of the chain rule. Technically you do integrate partially whenever you integrate indefinitely. int[f'(x,y)]dx = f(x,y) + g(y) because the derivative of g(y) wrt x is 0. We just call it C normally because we don't need to introduce more complicated paramters than a constant most of the time. This fact occurs in some mixed differential equations.
@user-nx6wi6eh9v
@user-nx6wi6eh9v Год назад
Partial differentiation is just like normal differentiation but only according to one variable aka treating every other variable as a constant
@horserous
@horserous 4 месяца назад
Integration is difficult. Yes some nations insist on integration, courses and language basics, equally hard. Its easy for the tutor to say just differentiate it. So cheat by using Maple, and then try to figure it out. If i recall partial fractions, substitutions and bit of Heaviside was enough for me as a kid.
@franknoir9378
@franknoir9378 Год назад
are there any videos of yours or others i can or should watch first in order to understand your videos? i already know about integrals but i dont really know about those gamma, digamma, euler mascheroni constants and the likes and really wanna understand your videos 😭😭😭
@maths_505
@maths_505 Год назад
Well you could watch em in the order of upload
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