2 of the coolest integrals on YouTube
Рет қаралды 5,238
Ай бұрын2 ridiculously awesome integrals through one generalized solution development using some of your favorite tricks. Enjoy....
The formulae:
• 2 fascinating integral...
My complex analysis lectures:
• Complex Analysis Lectures
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@MrWael1970 Ай бұрын
Thank you for solving such integrals. So, for non specialists and undergraduate students, we shall proof each integral or theorem before introducing solutions. This channel is the best, and i want to be the best all the time.
@giuseppemalaguti435 Ай бұрын
Ecco il passaggio decisivo...moltiplicare (1+x) sopra e sotto...io non c'ero arrivato ...complimenti
@stefankraft5415 Ай бұрын
At 3:15 I can see a difference of two integrals, where both integrals do not exist for instance for s=2 (but Re(s=2)
@shivamdahake452 Ай бұрын
Bro is starting a math cult I am all here for it Also I got JEE advanced exam on may 26, hoping it goes well.
@Jalina69 29 күн бұрын
Nice I love homework
@Tosi31415 Ай бұрын
cult? wasn't this a harem??????
@stefanalecu9532 Ай бұрын
It's everything and more
@orionspur Ай бұрын
According to Wolfram these last two simplify to... √⅓ / (4 cosh(π/3) - 2), and... -½ π sinh(π/6) sech(π/2)
@whippyPoo Ай бұрын
What software are you using for writing this math on?
@helloworld4309 Ай бұрын
Can you tell how to integrate root sinx from 0 to π/2 is this integral can be done using calculus 1
@jackkalver4644 Ай бұрын
cosh^2 n+3sinh^2 n=1+4sinh^2 n
@tsa_gamer007 Ай бұрын
0:16 "You have not been scammed" Reality: Here's a starter integral before we go to the main course lunch
@Cs-vs7qk Ай бұрын
Woah
@holyshit922 Ай бұрын
I played with u=1/x substitution and partial fraction decomposition of the factor (1+x^2)/(x^4+x^2+1)I have got \int_{0}^{1}\frac{\cos{\ln{x}}}{x^2+x+1}dx + \int_{0}^{1}\frac{\cos{\ln{x}}}{x^2-x+1}dx Now i would expand numerator and denominator to get \int_{0}^{1}\frac{(1-x)\cos{\ln{x}}}{1-x^3}dx + \int_{0}^{1}\frac{(1+x)\cos{\ln{x}}}{1+x^3}dx and now i would try to use geometric series expansion
@Anonymous-Indian..2003 Ай бұрын
Who else used contour integration and residue theorem. ?
@CM63_France Ай бұрын
Hi, "ok, cool" : 3:15 , 4:45 , 5:58 , 8:26 , "terribly sorry about that" : 5:29 , 5:45 , 10:35 .
@christophercalvaire2014 Ай бұрын
quoted theorem is actually really hard， I tried MMA to understand the details 😢but finally get this in youtube int x^（m-1）/（x^n+1） kzfaq.info/get/bejne/hdSEoZaDnsXRYYU.htmlsi=sqvK0IGvkC9ED9Uh
@christophercalvaire2014 Ай бұрын
things become much much easier in the complex number field❤
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