A mesmerizing calculus journey

A lovely calculus problem with a bit of everything.
Infinite series proof:
• A surprisingly wonderf...
My complex analysis lectures:
• Complex Analysis Lectures
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[@Slopynthia]

one time i got hit by a bus and Maths505 integrated me back to health. i owe him my life

[@maths_505]

😭😭😭

[@spinothenoooob6050]

That's so nice of him, now he's my favourite after Leonard goatler

[@maxvangulik1988]

this integral uses:
•taylor series
•Laplace transform
•complex partial fractions
•digamma
•trigamma
•reflection/duplication formulas
•hyperbolic functions

[@maxvangulik1988]

or whatever the hell he did at 4:35

[@abdulllllahhh]

Missing Cauchys residue theorem

[@spinothenoooob6050]

🤤🤤🤤

[@maxvangulik1988]

@@abdulllllahhh i did not use cauchy's residue theorem when solving this integral.

[@richierob62]

I’m beginning to think you might figure out backwards time travel.

[@AyushRajput-xw2ru]

The intro voice was 😂 like Mr kamaal sobered his vocal in wine 😂😂

[@ARUPBERA-ky6mq]

another method can be by assuming a function in alpha :cos(alpha x)ln(1-e^-x)dx from 0 to infinity and then expanding series of "ln(1-e^-x)=summation of (e^-x)^r/r where r ranges from 1 to infinity using this to get to a function a which i calculated using integartion by parts and it simplifies as a cool result 1/(a^2+r^2) and then differrentiating the function with respect to a and putting a=1 we get the same result

[@doronezri1043]

Great video! Loved the differentiation under the integral sign (it's actually a property of Laplace Transform) 😊

[@SkEi-y3b]

The way you make solving math fun is amazing

[@aravindakannank.s.]

this reminds of the old days where u use multiple results to make a monstrous integrals to submit to u😊😊

[@augustuskaufmann7263]

how did you become so good at this? what books did you read (or other resource) to learn all these integration techniques and strategies? I haven’t seen any of this in a calculus textbook.
Thank you so much, and great video as usual🙏

[@julioguilarte9438]

interested on this as well

[@daddy_myers]

It's quite simple. There is a direct linear relation between a) fucking around, and b) finding out. I'm sure you can see where this is headed, but in short, you just fuck around and find out.

[@maths_505]

Exactly 💯

[@xanterrx9741]

Great video , thanks for making it

[@MrWael1970]

Very nice. Thanks

[@Nottherealbegula4]

This has to be one of my faovrite videos of yours

[@maths_505]

It's one of my favourite integrals...little bit of everything

[@xenumi]

So nice!

[@turtledudes3843]

Good problem!

[@raghavendrasinghchauhan7704]

Nice one
Bro, a request , while starting the solution could you elaborate a little more on thought process, what propped into your mind and why you rejected that.
An intuitive feel for the problem basically

[@SanAleksiusII]

Good stuff

[@giuseppemalaguti435]

I=-2(1/4+1/25+1/100+1/289+1/676+1/1369+1/2500......=-0,61367...ho usato lo sviluppo di ln(1+x) e sinx=Im(e^ix)

[@yoav613]

Very nice! At the end it should be with negative sign -pi/2coth(pi). Oh now i saw you fixed it😅💯💯

[@achrafhattafi4698]

As usual , just hero

[@RBRB-hb4mu]

I’ve solved Einstein’s “Spooky Action” entanglement riddle. Space is being pressed up into your face creating the illusion of time. Time is but an illusion……..

[@transcendenceistaken]

What does any of this mean

[@maxvangulik1988]

pomni quote

[@zubii2017]

A little bit of this a little bit of that aaa video

[@Leonhardeuler2219]

Okay, cool 🎉🎉

[@spinothenoooob6050]

❤❤❤

[@waarschijn]

6:55 forgot the square

[@biscuit_6081]

Comment for the algorithm:

[@sethdurais2477]

First time being first!

[@zamplify]

Twenty-six seconds on "like and subscribe" absolutely ridiculous