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 didn't understand in finding out volume we replaced thickness of the cylinder with (dx) but to find out the surface area we replaced the thickness with (dl) why?
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
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)
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.
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
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
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'
@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)].
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
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.
This stuff is so incredible. It always blows my mind how simple, yet ingengious it is.
the left one is shrek ear
👍😂
:)
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
Keep up the good work
U made me to realise how cool maths is😃
Keep the videos coming
YAY!!!!!😁😁
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
how does this guy not have 10 million subs?
I could not understand this before your video and now I do. Thank you a million times!
Thanks a lot Sir. Greetings from 🇮🇳
Love from India sir. ❤ I love your teaching style
PERFECT. thank you kindly
great explanation! Thank you🙏🏻
Underrated video!
This dude makes it seem like calculus it fun and I am actually enjoying it
very good explanation
Find volume if rotate y=lnx about y=x
x from 1 to 2
Thank you so much professor!
Nicely explained
Thank you! Spanish is my first lenguage but i can understand almost everything you teach. :)
Why didn’t I find this channel before my physics test?? 😩
Thanks man!. You got me.
6:07 Wow! Magical
bprp transitions from pure maths to theoretical classical physics
Great job! Thank you so much. :)
great videos lately! all very intresting proofs and concepts, it helps with my studies :D
your jacket is fire but not as fire as these videos! thank you for this brotha! helping me through calculus
Disc-ribe the shape 1:45 nice
Yoo, I was having a hard time with this thanks
for god sake, my teacher was 3 hours to explain this and i didnt understand anything, thanks a lot
when you just integrated the function g(y) instead of making it some g(x), I felt it
Please make video of Cartesian to spherical polar coordinate.. I want Jacobian transformation to be solved
thanks for helping me pass my calculus 2
Love the doraemon opening in the beginning
thank you
love from india 😚
Thank you sir
YOU ARE SO GUDDDD
OMG YOU HAVE A VIDEO ON THIS YASS I WILL NOT FAIL
thanks!!!!
I didn't understand in finding out volume we replaced thickness of the cylinder with (dx) but to find out the surface area we replaced the thickness with (dl) why?
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.
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
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
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
What's the limit as n-> infinity of 1/ln(1+10^-n) - 10^n?
nice vid btw!!
i love you bro
That doraemon intro though...
Why is the thickness dx? Whats the difference between having x and dx for this?
Smart
That's it!
Fancy intro. Nice
how radius of the disc is equal to y?
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
start logo !! Good!!!
What is the integration of dirchlet function
ok i got a q, why isn't the thickness here sqrt(1+(dy/dx)²) dx like the SA one
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.
The drip 💧 method
examples if you please for basic integrals
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.
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
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
is there a function such that the volume, area, and arc length are all equal?
Why error is not considered I mean we cannot take dx we have to take dx(y'²+1)^1/2
Great vedio
We made it
doraemon song playing in the background
For the width of element piece you should use delta x (symbol) instead of dx. Just some advice but overall good video.
Great
i love u!!!
All recommendations are after exams, why can't before
Nobita is smart.
Who else thought the opening piano was the opening of doraemon 😭
dodgers boston red sox
Hadir because Dr adillah❣️
Please make on video sequence and series. Because sequence and series is confusing men
#YAY!
he said CD are outdated 5 years ago 🥲🥲
No I can't concentrate because of that Doraemon theme
wtf is that the doraemon tune in intro? xd
Isn't "∫g(y)dy" the same as "∫g(x)dx"
Is that doraemon music
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.
Doraemon
LOL spoke too soon.
What's your name, sir?
Mr. 曹
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
The solid rotated about the x-axis looks like a fruit bowl.
doreamon ahh audio
You are as like mat Parker
HA u used blue pen not red. :') Youre blackpenbluepen now
いいね
unua udalbiu fumsnii dudap ingwee chilchalcghi monghnuu