Volume of the Solid of Revolution, the Disc Method!
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- เผยแพร่เมื่อ 17 ก.ย. 2024
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blackpenredpen | 曹老師
this guy is rly flexing a supreme jacket on us while teaching calc. I love it
Ya
is supreme wotyh
He got the drip tho
Today's the day when Leibnitz introduced longer s symbol for integration, 343 years ago.
7^3
Haha, ONLY a mathematician would notice that 343 = 7^3!! Good man! Also, Oct.29th is my birthday, so -- hey! -- nice day to have a birthday!
@@alkankondo89 did you know 343 was the speed of sound in 20 degrees Celsius
Old comment i know but do you know why he changed it?
@@richardjehoe8841 no, why?
Blessings from INDIA
Sir U r really give us a unique math lessons....
Gourav Das thanks!!
@@blackpenredpen wl cm sir
Great explanation, you really deserve +10 million subscribers ,keep it up
A big fan from Saudi Arabia 🇸🇦
Moh Ghz thanks!
Thank you, as always a great lecture. I consider you as my main Calculus 2 professor, and that one from my uni is the secondary, lol.
the left one is shrek ear
👍😂
:)
Keep up the good work
U made me to realise how cool maths is😃
Keep the videos coming
YAY!!!!!😁😁
This stuff is so incredible. It always blows my mind how simple, yet ingengious it is.
why do you use the Doraemon tune in the intro?
not complaining.
Still have PTSD from the washer method
Thank you so much I have never understood volumes of rotation until this video.
Glad to hear. : )
same lol
thank you so much for making everything sooo simplified. i was browsing for ages trying to find a video that explained this topic, where they didn't make it seem complicated but none of them explained it as clearly as you! 💝
I achieved mathgasm when I finally understood this
how does this guy not have 10 million subs?
Thanks man!. You got me.
Why didn’t I find this channel before my physics test?? 😩
Find volume if rotate y=lnx about y=x
x from 1 to 2
very good explanation
Underrated video!
I could not understand this before your video and now I do. Thank you a million times!
Thanks a lot Sir. Greetings from 🇮🇳
Nicely explained
Thank you so much professor!
Please make video of Cartesian to spherical polar coordinate.. I want Jacobian transformation to be solved
Yoo, I was having a hard time with this thanks
Thank you! Spanish is my first lenguage but i can understand almost everything you teach. :)
great videos lately! all very intresting proofs and concepts, it helps with my studies :D
Great job! Thank you so much. :)
This dude makes it seem like calculus it fun and I am actually enjoying it
Love from India sir. ❤ I love your teaching style
thanks!!!!
Isn't it easier to see that by relabeling variables the right one is the same as the left one? x -> y, y -> x?
Yeah, the 2nd part of the video is pretty much useless as it's exactly the same as the 1st.
Disc-ribe the shape 1:45 nice
Love the doraemon opening in the beginning
bprp transitions from pure maths to theoretical classical physics
What's the limit as n-> infinity of 1/ln(1+10^-n) - 10^n?
nice vid btw!!
thank you
YOU ARE SO GUDDDD
6:07 Wow! Magical
What is the volume of an object which is formed by rotating the common region between the graphs of y=x² and x=y² about the line(axis) x+y=4
Can you solve it for me ❤️❤️❤️
FIITJEE aits question?😅
@@srishtikdutta8946 nope
Interesting
@@tsurutuneado5981 give it a try
y = f(x) when you rotate along the y axis, the volume is
(a-taub/2)(integral c to d (f(x)dx)
i think
your jacket is fire but not as fire as these videos! thank you for this brotha! helping me through calculus
love from india 😚
Thank you sir
OMG YOU HAVE A VIDEO ON THIS YASS I WILL NOT FAIL
when you just integrated the function g(y) instead of making it some g(x), I felt it
thanks for helping me pass my calculus 2
Sir, can you make a video about the volume of a function y=f(x) rotated about the line ax+by+c=0. Thanks in advance! 😃
Interesting problem, I show this in my linear algebra class because it involves doing a change of basis.
Smart
Hi, can you make videos about periodic function and period.
Like, how can I find the least period of f(x) = tg(11x/34) + ctg(13x/34).
(It's 34pi, but I don't know how prove it)
Валентин Илюшин I did it already. Search it
Very nice and understandable vedio and please make such type of small and understandable videos for shell and washer also because the way of your teaching is well and I understanded this video but I still don't understand washer , and she'll method so please make small vedio for these two mathods also
i love you bro
for god sake, my teacher was 3 hours to explain this and i didnt understand anything, thanks a lot
ok i got a q, why isn't the thickness here sqrt(1+(dy/dx)²) dx like the SA one
how radius of the disc is equal to y?
examples if you please for basic integrals
doraemon song playing in the background
That's it!
I wonder is it possible to calculate the area of a totally irregular shape which has no vertical/horizontal lines for the upper bounce and lower bounce
Great
start logo !! Good!!!
That doraemon intro though...
Why is the thickness dx? Whats the difference between having x and dx for this?
dodgers boston red sox
is there a function such that the volume, area, and arc length are all equal?
Hello teacher, do you have a long video like those "50 integrals world record" but for definite integrals and areas/volumes like this video?
For the width of element piece you should use delta x (symbol) instead of dx. Just some advice but overall good video.
The drip 💧 method
Why error is not considered I mean we cannot take dx we have to take dx(y'²+1)^1/2
What is the integration of dirchlet function
PERFECT. thank you kindly
What happens if my equation is y= x * e^x^3 , ( x times e to the power of x cubed ) rotated about y axis , x= 1?... i cant isolate the x here.. idk what to do
How to find volume for curved water bottle. I took measurements from one water bottle. But, I don't know how to find equation and how to apply in integration. Can you teach us in practical method.
Great vedio
i love u!!!
Fancy intro. Nice
Nobita is smart.
Please make on video sequence and series. Because sequence and series is confusing men
#YAY!
We made it
All recommendations are after exams, why can't before
Isn't "∫g(y)dy" the same as "∫g(x)dx"
well the shape of the first thing clearly is a fruit bowl. it looks like my mums fruit bowl just on the side. and damn it really is easy, never thought something that looks this complicated is infact totally simple if you remember what the integral is (i tend to tell my student "normal summation sign didn´t cut it, so we need a new summation sign. how would you abbreviate a sum? with an S right. guy who invented that stuff had worse handwriting than me, that´s why the integral sign looks like that") and what dx or dy means. brilliant video mate
No I can't concentrate because of that Doraemon theme
wtf is that the doraemon tune in intro? xd
I need a heart!
The Juk you got it! Have a great day!
You made my day!😍
Please do the derivative of:
n•(sin(nx))^n + n•(cos(nx))^n.
Thanks :D
(I failed there :x)
Bro i think its n*(n-1)*sin(nx)*cos(nx) and u do the same for the other one.
Someone correct me if im wrong.
What is did was consider sin(nx)=u
And the derivative of n*u^n is n*(n-1)*u*u'
(1) *The derivative of (sin nx)^n is* n•(nx)'•cos nx•(sin nx)^(n-1) = *n^2•(sin nx)^(n-1)•cos nx.*
(2) *The derivative of (cos nx)^n is* n•(nx)'• -sin nx•(cos nx)^(n-1) = *-n^2•(cos nx)^(n-1)•sin nx.*
Adding (1) and (2), and multiplying by n (a constant) *the derivative of n•(sin nx)^n + n•(cos nx)^n is n^3•(sin nx)^(n-1)•cos nx - n^3•(cos nx)^(n-1)•sin nx.*
@3lie TechHack: The derivative of n*u^n is n² · u^(n - 1) · u', not n · (n - 1) · u · u'. Furthermure, u is defined as sin(nx) and its derivative is n · cos(nx) and not just cos(nx). So the derivative of n · (sin(nx))^n is actually n³[(cos(nx))^(n - 1) · sin(nx) - (sin(nx))^(n - 1) · cos(nx)].
@@MarioFanGamer659 thxx a lot bro we have just started taking derivatives in school and im still a little lost but i'll get the hang of it over time
@@MarioFanGamer659
You're right. I was looking at his wrong answer and was confused myself.
Hadir because Dr adillah❣️
LOL spoke too soon.
Who else thought the opening piano was the opening of doraemon 😭
Is that doraemon music
HA u used blue pen not red. :') Youre blackpenbluepen now
he said CD are outdated 5 years ago 🥲🥲
What's your name, sir?
Mr. 曹
You are as like mat Parker
The solid rotated about the x-axis looks like a fruit bowl.
いいね
Doraemon
unua udalbiu fumsnii dudap ingwee chilchalcghi monghnuu
Can you please, telepatically connect with me so you can write my calculus 2 exam for me in 5hrs? Please! I know it won't take you the 3 hrs... it'll probably only be like 20min for you.
Sir plzzz join my University.......plzzz plzzz