Volume of the Solid of Revolution, the Disc Method!

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blackpenredpen | 曹老師

[@adamiannucci1346]

this guy is rly flexing a supreme jacket on us while teaching calc. I love it

[@rolynjoymagan3099]

Ya

[@andrewstephen9703]

is supreme wotyh

[@78anurag]

He got the drip tho

[@VIVEK2991]

Today's the day when Leibnitz introduced longer s symbol for integration, 343 years ago.

[@majkgmajkg2613]

7^3

[@alkankondo89]

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!

[@mikuculus3720]

@@alkankondo89 did you know 343 was the speed of sound in 20 degrees Celsius

[@richardjehoe8841]

Old comment i know but do you know why he changed it?

[@VIVEK2991]

@@richardjehoe8841 no, why?

[@xyzabc3091]

Blessings from INDIA Sir U r really give us a unique math lessons....

[@blackpenredpen]

Gourav Das thanks!!

[@xyzabc3091]

@@blackpenredpen wl cm sir

[@mohghz1840]

Great explanation, you really deserve +10 million subscribers ,keep it up A big fan from Saudi Arabia 🇸🇦

[@blackpenredpen]

Moh Ghz thanks!

[@antoniovianaaa]

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.

[@march11stoneytony]

This stuff is so incredible. It always blows my mind how simple, yet ingengious it is.

[@hannahhiller6059]

My professor posted your channel on our Canvas. So I came here to give a thumb up to your explanation. Thank you ❤

[@beareera9962]

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! 💝

[@78anurag]

I achieved mathgasm when I finally understood this

[@iamjustaguy6912]

how does this guy not have 10 million subs?

[@manishkumarsingh3082]

Keep up the good work U made me to realise how cool maths is😃 Keep the videos coming YAY!!!!!😁😁

[@juuso8412]

the left one is shrek ear

[@karolakkolo123]

👍😂

[@CuriousNeon]

:)

[@javinator5793]

Thank you so much I have never understood volumes of rotation until this video.

[@blackpenredpen]

Glad to hear. : )

[@roct07]

same lol

[@porphyrinhamburger6996]

Still have PTSD from the washer method

[@noobmaster-dm7tu]

why do you use the Doraemon tune in the intro? not complaining.

[@p.i.4705]

This dude makes it seem like calculus it fun and I am actually enjoying it

[@TheWinonaJohnson]

I could not understand this before your video and now I do. Thank you a million times!

[@عطاالدهامشة-ع8ح]

Find volume if rotate y=lnx about y=x x from 1 to 2

[@OpPhilo03]

Love from India sir. ❤ I love your teaching style

[@nutritionbyelsa]

PERFECT. thank you kindly

[@Rozhan_Fard]

great explanation! Thank you🙏🏻

[@backbo1967]

Why didn’t I find this channel before my physics test?? 😩

[@sreajan]

Thanks a lot Sir. Greetings from 🇮🇳

[@juanospina8306]

Thank you! Spanish is my first lenguage but i can understand almost everything you teach. :)

[@jdwithaddinhd5811]

Underrated video!

[@hamidkhan7628]

very good explanation

[@erickcervantes3151]

your jacket is fire but not as fire as these videos! thank you for this brotha! helping me through calculus

[@gemechiskebeta2460]

Thanks man!. You got me.

[@ppmahashabde]

bprp transitions from pure maths to theoretical classical physics

[@anabeatrizgonzalez166]

Thank you so much professor!

[@manthansunilhalarnkar]

Nicely explained

[@jephtahcaesar]

Yoo, I was having a hard time with this thanks

[@bluendart]

when you just integrated the function g(y) instead of making it some g(x), I felt it

[@alegian7934]

great videos lately! all very intresting proofs and concepts, it helps with my studies :D

[@macrocarpa2081]

thanks for helping me pass my calculus 2

[@agusbuffa]

for god sake, my teacher was 3 hours to explain this and i didnt understand anything, thanks a lot

[@jennirodin3690]

Great job! Thank you so much. :)

[@isaquepim4555]

6:07 Wow! Magical

[@civilthai7041]

Please make video of Cartesian to spherical polar coordinate.. I want Jacobian transformation to be solved

[@mikuculus3720]

OMG YOU HAVE A VIDEO ON THIS YASS I WILL NOT FAIL

[@gustavosolano8625]

thanks!!!!

[@Arghya-uc3yi]

Love the doraemon opening in the beginning

[@angelitajesslyn7634]

YOU ARE SO GUDDDD

[@Ridwan-wm3is]

Disc-ribe the shape 1:45 nice

[@gideondaniels2621]

thank you

[@AlgyCuber]

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

[@santonugogoi576]

love from india 😚 Thank you sir

[@ib9rt]

Isn't it easier to see that by relabeling variables the right one is the same as the left one? x -> y, y -> x?

[@booli8542]

Yeah, the 2nd part of the video is pretty much useless as it's exactly the same as the 1st.

[@GeneralMathematics1]

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

[@AlaminRahaman-g4p]

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?

[@aswinibanerjee6261]

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

[@aswinibanerjee6261]

Can you solve it for me ❤️❤️❤️

[@srishtikdutta8946]

FIITJEE aits question?😅

[@aswinibanerjee6261]

@@srishtikdutta8946 nope

[@tsurutuneado5981]

Interesting

[@aswinibanerjee6261]

@@tsurutuneado5981 give it a try

[@sero7635]

i love you bro

[@efeguleroglu]

That's it!

[@ryanaldrinputong4318]

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! 😃

[@DoctrinaMathVideos]

Interesting problem, I show this in my linear algebra class because it involves doing a change of basis.

[@vincenciussufijanhadi1287]

How to calculate arc length using the formula x^3 = y and 1 - X^3 =y, with an upper limit of 1 and a lower limit of 0. Although. Please explain. Thank you very much

[@MuaHaBoy1]

Why is the thickness dx? Whats the difference between having x and dx for this?

[@zachbenton3969]

What's the limit as n-> infinity of 1/ln(1+10^-n) - 10^n?

[@zachbenton3969]

nice vid btw!!

[@Taterzz]

is there a function such that the volume, area, and arc length are all equal?

[@bandamkaromi]

start logo !! Good!!!

[@kacperwyrwa4553]

We made it

[@tsehaynewademe4835]

Smart

[@afafsalem739]

Great vedio

[@Gandarf_]

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)

[@blackpenredpen]

Валентин Илюшин I did it already. Search it

[@emontrailers]

examples if you please for basic integrals

[@mcmage5250]

Fancy intro. Nice

[@SabrinaXe]

That doraemon intro though...

[@AJAY_PANDIT_YT]

Great

[@not_vinkami]

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

[@DoctrinaMathVideos]

For the width of element piece you should use delta x (symbol) instead of dx. Just some advice but overall good video.

[@Aditya-wy4ci]

how radius of the disc is equal to y?

[@MisterMe-ef2zc]

All recommendations are after exams, why can't before

[@kylescofield]

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

[@nabeelkhan4910]

What is the integration of dirchlet function

[@yuvrajsinghraj]

Why error is not considered I mean we cannot take dx we have to take dx(y'²+1)^1/2

[@BilalAhmed-on4kd]

ok i got a q, why isn't the thickness here sqrt(1+(dy/dx)²) dx like the SA one

[@karthikp2650]

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.

[@hangkertzy9722]

i love u!!!

[@ianthomas571]

dodgers boston red sox

[@aleph4425]

The drip 💧 method

[@noobmaster-dm7tu]

Nobita is smart.

[@shraddhajani4569]

doraemon song playing in the background

[@neelanshupanigrahi2553]

Doraemon

[@naturelover9767]

Please make on video sequence and series. Because sequence and series is confusing men

[@archithtelukunta4599]

#YAY!

[@grauqi158]

Please do the derivative of: n•(sin(nx))^n + n•(cos(nx))^n. Thanks :D (I failed there :x)

[@3lietechhack646]

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'

[@0120-c2k]

(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.*

[@MarioFanGamer659]

@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)].

[@3lietechhack646]

@@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

[@0120-c2k]

@@MarioFanGamer659 You're right. I was looking at his wrong answer and was confused myself.

[@joelgeorge7423]

he said CD are outdated 5 years ago 🥲🥲

[@KakarotM99]

Is that doraemon music

[@unnatisaboo1574]

Who else thought the opening piano was the opening of doraemon 😭

[@rajveerkania3929]

No I can't concentrate because of that Doraemon theme

[@aymaneoulahyane6803]

Isn't "∫g(y)dy" the same as "∫g(x)dx"

[@mentor1324]

wtf is that the doraemon tune in intro? xd

[@BeritaSensasiViral]

Hadir because Dr adillah❣️

[@JamalAhmadMalik]

I need a heart!

[@blackpenredpen]

The Juk you got it! Have a great day!

[@JamalAhmadMalik]

You made my day!😍

[@ranjanadas3347]

What's your name, sir?

[@not_vinkami]

Mr. 曹

[@Metalhammer1993]

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

[@jevcampbell2301]

LOL spoke too soon.

[@randellrussell2400]

The solid rotated about the x-axis looks like a fruit bowl.

[@ene2406]

doreamon ahh audio

[@bipinmaurya3824]

You are as like mat Parker

[@jevcampbell2301]

HA u used blue pen not red. :') Youre blackpenbluepen now