Volume of the Solid of Revolution, the Disc Method!

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blackpenredpen | 曹老師

[@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?

[@archithtelukunta4599]

#YAY!

[@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

[@noobmaster-dm7tu]

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

[@juuso8412]

the left one is shrek ear

[@karolakkolo123]

👍😂

[@CuriousNeon]

:)

[@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.

[@porphyrinhamburger6996]

Still have PTSD from the washer method

[@manishkumarsingh3082]

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

[@78anurag]

I achieved mathgasm when I finally understood this

[@backbo1967]

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

[@iamjustaguy6912]

how does this guy not have 10 million subs?

[@march11stoneytony]

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

[@civilthai7041]

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

[@shraddhajani4569]

doraemon song playing in the background

[@عطاالدهامشة-ع8ح]

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

[@zachbenton3969]

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

[@zachbenton3969]

nice vid btw!!

[@javinator5793]

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

[@blackpenredpen]

Glad to hear. : )

[@roct07]

same lol

[@ianthomas571]

dodgers boston red sox

[@RumenGenchev-c9d]

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.

[@Rozhan_Fard]

great explanation! Thank you🙏🏻

[@JamalAhmadMalik]

I need a heart!

[@blackpenredpen]

The Juk you got it! Have a great day!

[@JamalAhmadMalik]

You made my day!😍

[@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

[@neelanshupanigrahi2553]

Doraemon

[@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

[@nutritionbyelsa]

PERFECT. thank you kindly

[@BilalAhmed-on4kd]

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

[@MisterMe-ef2zc]

All recommendations are after exams, why can't before

[@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.

[@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.

[@unnatisaboo1574]

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

[@sreajan]

Thanks a lot Sir. Greetings from 🇮🇳

[@juanospina8306]

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

[@jephtahcaesar]

Yoo, I was having a hard time with this thanks

[@randellrussell2400]

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

[@jevcampbell2301]

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

[@aymaneoulahyane6803]

Isn't "∫g(y)dy" the same as "∫g(x)dx"

[@joelgeorge7423]

he said CD are outdated 5 years ago 🥲🥲

[@santonugogoi576]

love from india 😚 Thank you sir

[@rajveerkania3929]

No I can't concentrate because of that Doraemon theme

[@Arghya-uc3yi]

Love the doraemon opening in the beginning

[@ashok_kumar543]

Sir plzzz join my University.......plzzz plzzz

[@Aditya-wy4ci]

how radius of the disc is equal to y?

[@mentor1324]

wtf is that the doraemon tune in intro? xd

[@yuvrajsinghraj]

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

[@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

[@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

[@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! 💝

[@gemechiskebeta2460]

Thanks man!. You got me.

[@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.

[@gustavosolano8625]

thanks!!!!

[@OpPhilo03]

Love from India sir. ❤ I love your teaching style

[@bluendart]

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

[@agusbuffa]

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

[@SabrinaXe]

That doraemon intro though...

[@MuaHaBoy1]

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

[@bondarakhanganeh]

unua udalbiu fumsnii dudap ingwee chilchalcghi monghnuu

[@hamidkhan7628]

very good explanation

[@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

[@Ridwan-wm3is]

Disc-ribe the shape 1:45 nice

[@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

[@erickcervantes3151]

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

[@aleph4425]

The drip 💧 method

[@jennirodin3690]

Great job! Thank you so much. :)

[@sero7635]

i love you bro

[@BeritaSensasiViral]

Hadir because Dr adillah❣️

[@jdwithaddinhd5811]

Underrated video!

[@jevcampbell2301]

LOL spoke too soon.

[@noobmaster-dm7tu]

Nobita is smart.

[@angelitajesslyn7634]

YOU ARE SO GUDDDD

[@p.i.4705]

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

[@purim_sakamoto]

いいね

[@ppmahashabde]

bprp transitions from pure maths to theoretical classical physics

[@macrocarpa2081]

thanks for helping me pass my calculus 2

[@nabeelkhan4910]

What is the integration of dirchlet function

[@TheWinonaJohnson]

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

[@hangkertzy9722]

i love u!!!

[@tsehaynewademe4835]

Smart

[@naturelover9767]

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

[@mikuculus3720]

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

[@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

[@Taterzz]

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

[@emontrailers]

examples if you please for basic integrals

[@alegian7934]

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

[@DoctrinaMathVideos]

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

[@anabeatrizgonzalez166]

Thank you so much professor!

[@KakarotM99]

Is that doraemon music

[@TheBlueboyRuhan]

Under 301 club anyone?

[@mcmage5250]

Fancy intro. Nice

[@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.

[@bipinmaurya3824]

You are as like mat Parker

[@ranjanadas3347]

What's your name, sir?

[@not_vinkami]

Mr. 曹

[@afafsalem739]

Great vedio

[@manthansunilhalarnkar]

Nicely explained

[@efeguleroglu]

That's it!

[@bandamkaromi]

start logo !! Good!!!

[@isaquepim4555]

6:07 Wow! Magical

[@kacperwyrwa4553]

We made it

[@jamesace3273]

Wooo second :(