My brother in god's name its 4 in the morning in Pakistan from whede you post this, how much of a madlad are you to solve integrals at 4 am ? Keep doing it, Ramadan Mubarak to you my guy.
At 6:05: Is this correct? You are creating the complex conjugate of the numerator at the right side from an expression with complex argument s in the cosh function by just flipping i -> -i. For real s this is true, but at that time in the video s could be still complex.
You're implying at different points of the video that s can be a complex number, but doesn't that mean that you're not allowed to distribute the im() outside the integral anymore at 1:29, because the denominator doesn't have to be a real number?
Hey, in one of your old videos, 1 month ago, you used something named the reflection formula? (It was for the integral of 1/(x⁴ +x³ +x² +x +1) from MIT). I couldn't find a proof without complex analysis or contour integration. Mind explaining how to proof that integral of x^(s-1) over 1+x^n is π/n csc(sπ/n) ?
I discourage drinking but that’s not for religious reasons it’s because I’m a med chemist and ethanol as a drug is awful (as a solvent it’s pretty good though)
3:44 “the reflection formula for the ga👹👹👹👹👹ma function”
Early birds get the integrals
Also don't drink and derive
1:39 Can you take the Re operator out of the integral there? Since s is complex, [Re(x^i)]/(1+x^s) can be different than Re[(x^i)/(1+x^s)].
My brother in god's name its 4 in the morning in Pakistan from whede you post this, how much of a madlad are you to solve integrals at 4 am ?
Keep doing it, Ramadan Mubarak to you my guy.
glad to be one of the 3 1/2 ladies watching this channel 😂❤
Me too
Good job n nice ramdhan's integral Akhy. 😊
At 6:05: Is this correct?
You are creating the complex conjugate of the numerator at the right side from an expression with complex argument s in the cosh function by just flipping i -> -i. For real s this is true, but at that time in the video s could be still complex.
Don't worry it's perfectly fine. Any adjustments are handled autonomously in the final expression.
sin^2θcosh^2θ+cos^2θsinh^2θ=(sin^2θcosh^2θ-sin^2θsinh^2θ)+(sin^2θsinh^2θ+cos^2θsinh^2θ)=sin^2θ+sinh^2θ
I am watching your wonderful videos in Japan!😊
yeah, it's really cool
Good Job dear. Mashallah.
7:55 yes, I do smell phi every time I see a 5
making me fall in love with math again
What’s the limit of I(s) as s approaches 0 from above? The graph says it’s 0, but the calculation does nothing to simplify.
You're implying at different points of the video that s can be a complex number, but doesn't that mean that you're not allowed to distribute the im() outside the integral anymore at 1:29, because the denominator doesn't have to be a real number?
Nah perfectly fine. Whatever adjustment from real to imaginary parts are handled autonomously in the final result.
Where do you get all these crazy, interesting integrals? I want to find some on my own to try but I don't know where to look.
I made this one up
Hey, in one of your old videos, 1 month ago, you used something named the reflection formula? (It was for the integral of 1/(x⁴ +x³ +x² +x +1) from MIT). I couldn't find a proof without complex analysis or contour integration. Mind explaining how to proof that integral of x^(s-1) over 1+x^n is π/n csc(sπ/n) ?
Check out the proofs playlist. You'll find a video proving both formulae.
@@maths_505 Thanks.
Real men take a shot of water every time he says "this implies that..."
Nicely titled video
at 6: 20 do you assume s is real ? ?
otherwise s -> s*
I discourage drinking but that’s not for religious reasons it’s because I’m a med chemist and ethanol as a drug is awful (as a solvent it’s pretty good though)
I’ve gone on lengthy rants about why ethanol is the worst drug of abuse
@@skyethebi 🔥 solvent indeed
I'm Muslim too, so I'll add up shots of qamar al-deen for after Maghrib. Ramadan mubarak, Kamal
I=(π/s)(sinπ/s)(chπ/s)/ch2π/s-cos2π/s)....ch^2,cos^2
ramadan mubarak akhi
Ramadan Mubarak brother
Nice
good evening from brazil
Are you Feynman's long lost grandson?
I wish 😂😂
Ramadan Mubarak! Greetings from Israel
Ramadan Mubarak!
When you said your Muslim I felt very happy and proud because you are قدوة to me
i am the 1/2 lady :)
Wait how do you become a half lady ? What sort of magic is this ?