Wow knowing the Euler's log trig functions really helped in the solution development. Btw I'm really liking that bright yellow colour at the end. Keep up the good work!
As always you propose us good stuff. The previous differential equation you did was such a fonction where y could not be written in terms of X. And the tetration of the matrices you proposed was equally a nice exercise of reflection. I'm sick when you don't release a video because your videos are my favourite content. Keep producing such wonderful stuffs.
4:45 Why does the integral from 0 to π/2 of log(sin (z)) evaluate to (-π/2 * log(2)) ? Is it something really obvious that I'm missing ? Or is it just kind of a "well known" integral ? Edit : I tried to compute the integral using king's property and found that it indeed gave me -pi/2*log2
10:00 wouldn't king's property be helpful on the right most integral? edit: Oh LOL you did the exact same thing. Great vid as always! I feel like I'm missing alot since I don't have much time to enjoy these insane videos, thank you as always for your awesome work!
🙏❤️Thank you very much❤️🙏 for choosing my problem and ✨🤍your video solution✨🤍 is 👏detailed👏 and 💘nice as always💘 💖Best wishes💖 for your 💛💚upcoming videos 💛💚
The log(sin(x)) series:
th-cam.com/video/mqPTvELJPM0/w-d-xo.html
If you like the videos and want to support the channel:
www.patreon.com/Maths505
Integral so beautiful I couldn’t even edge to this, I exploded immediately!!! Clean up on aisle MY PANTS 😂😂😂😂
😂😂😂
Why are youtube users so late to every trend
💀
My boy π²/4*ln2 was truly the main character of the show
Yeah it got butchered at the beginning but refused to go down 😂
Them: why don't you give up!
Me: cuz he didn't 🔥
Wow knowing the Euler's log trig functions really helped in the solution development.
Btw I'm really liking that bright yellow colour at the end. Keep up the good work!
So unique and beautiful integral!!
As always you propose us good stuff. The previous differential equation you did was such a fonction where y could not be written in terms of X. And the tetration of the matrices you proposed was equally a nice exercise of reflection. I'm sick when you don't release a video because your videos are my favourite content. Keep producing such wonderful stuffs.
Thanks mate
Congrats for 50k
Soon silver play⚡👍👍
4:45 Why does the integral from 0 to π/2 of log(sin (z)) evaluate to (-π/2 * log(2)) ?
Is it something really obvious that I'm missing ? Or is it just kind of a "well known" integral ?
Edit : I tried to compute the integral using king's property and found that it indeed gave me -pi/2*log2
10:00 wouldn't king's property be helpful on the right most integral? edit: Oh LOL you did the exact same thing.
Great vid as always! I feel like I'm missing alot since I don't have much time to enjoy these insane videos, thank you as always for your awesome work!
solve this integral: int 0-->1 tan(lnx)dx. two techniques: complex version of tangent and the fourier series for ln(cos)
Another way to write the result is 7/8*Z(3)+3/2*Z(2)*ln2
Edit: Z is the zeta function
Thank you for your featured effort.
Bro you are hilarious and a genius
🙏❤️Thank you very much❤️🙏 for choosing my problem and ✨🤍your video solution✨🤍 is 👏detailed👏 and 💘nice as always💘
💖Best wishes💖 for your 💛💚upcoming videos 💛💚
Great content!. What software do yo use?
?
Which software do you use for writing the equations?
How do I integrate √(x).
with limits from -5 to -1.
16:06 why the surrive term not
pi²/2 log2
I fixed that towards the end of the video 😂
your expansion of log(sin x) to -log2 - sigma at 11:41 is not clear. ???
See the pinned comment
🙏@@maths_505
How do you expand log(sin(x)), in minute 11:41?
See the pinned comment
Can someone tell me thebnamw od rhe identity in step 2?
How do you come up with the integrals you solve?
This one's from the Romanian mathematical magazine
I’m happy that I can do the problems in the thumbnail and then come back to answer have it be right!
Mashallah
I'm proud of you bro🔥
I'm dead 😦
my condolences
this inspired me to evaluate ∫∫ ln(tan(x)+tan(y))dxdy took an hour and evaluates to the same answer!
Fascinating
heyy,,.... can you help me to proof that Ci(x)= γ+ln(x)+int zero to infiniti of (cost-1)/t ?? pleaseee kjkjkjkjk
From RMM
Please, please, for everyone’s sake - USE A SCRIPT!!!
What happened this time 😂??