Disk & Washer Method - Calculus
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- เผยแพร่เมื่อ 28 ก.ย. 2024
- This calculus video tutorial explains how to use the disk method and the washer method to calculate the volume of a solid when the region enclosed by the curves are rotated around the x axis, y axis, and non axis or another line parallel to the x or y axis. This video contains plenty of examples and practice problems for you to work on. It shows you how to set up and evaluate the definite integral. Techniques include expanding a binomial expression and basic integration rules.
Full 1 Hour 44 Minute Video:
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Full 1 Hour 44 Minute Video:
• Disk & Washer Method -...
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how can I view the full video for free ? The site has it locked :(
@@serynaayala9740 it’s not free
Thanks sir ,more and more..I love yo explanations.
How can i get them all all physics and calculas and how many cost can any one tell plzzz?
@@farhatnazlee2954join his patron.
seriously teared up at the end . I have been struggling & so frustrated trying to understand how to determine the radius and what "In terms of x and y " really meant. Throughout the entire video every single thing finally clicked and came together. I just want to get my engineering degree ,so i can make good money and donate a bunch to you.... you deserve the world with how many student you help year after year. Thank OCT!
Hang in there. Most important thing you can do is find the right resources and put in the time. Keep at it and best of luck!
I understood it immediately thanks to Dayv you are being brainswashed AND YOU WILL CRY FOREVERR!!! NOW!!!!!!!!
FACTS
Good luck!
Currently in the same boat, I don't understand what dy DX means but I understand the rules and all and ap test is tomorrow!
Why are even paying expensive college if we are gonna come back to this dude to make sense of the nonsense that our professors teaching us. Dude deserves a GRAMMY. THANK YOU SR
“Nonsense” 🤡
fr fr fr
@Harry Snothead Even if you have a great professor, it's still highly advised to watch OCT and Khan Academy to keep things fresh in your head and maybe even get a different perspective that clicks better.
Bro fr
why a grammy lmao
What was said in 1.5 hours in lecture has been summarized in 20 minutes and efficiently shown! Another win for OCT 🔥
Finals is in 16 hours. Wish me luck :3
Edit: I Passed!
Gud luck
Good luck bro
Remember, even if you don’t get the score you hoped for, it is NOT the end of the world.
@@dr.makumwelle8841 Sadly our parents can make it such a big deal
Mine in 9 hours
WHAT!? still searching videos for math help? are the videos from 2006 really helping? Are you tired of videos not getting you anywhere in math class?
No I got The Organic Chemistry Tutor helping me
Well, you know what they say about math from 2006!!... Nothing cause math is math.
Big agree there. As well as Nancy Pi, Kahn Academy, and Krista King Math. That commercial gets on my nerves so much
@Johnathan Remington That's probably a scam. I've seen this before. Both thaddeus and johnathan joined on March 6 2021 with completely normal names and no profile pics. They're bots. I saw something like this before in another comment section but with free ipads or whatever.
DUDE THAT COMMERCIAL ACTS LIKE MATH HAS CHANGED SO DRASTICALLY SINCE 2006
dude I just got that ad like 2 videos ago💀
Finals in 8 hours, bout to pull my second all nighter in a row! Also this video made the way my professor taught us seem just straight up outlandish compared to how easy this was to understand. Thank you so much for the help and great video!
Lmao I have my final in 20 mins
@@adnanmohammed4354 how'd it go?
@@leggomaheggo decent. Will probably get a 93-94%. It was my final exam and I'm hanging on the edge of AB and A atm
This is about where I’m at right now. Studying for the BC test on the brink of tears
@@adnanmohammed4354 how is 93% “decent”?
You are simply a saving grace for Physics and STEM students.
Taking calc 2 online and over the summer. This is a godsend. Thank you. 🙏
i remember u.. u once saved my life.astagfirullah,Allah saved my life by u. how are u doing?
i love all ur lessons.
hahaha xD
wow i cant believe my luck! my favorite math channel uploaded this on the same year that im learning this stuff! :D if i'd been born a year earlier, i definitely would have failed this in lesson xd
The best calculus tutor ever❤ didn't think that it's really possible to explain 1,5 lecture just in 20 minutes. Unbelievable ❤😍 thanks a million
We just learned this unit today in class. This is such a better explination
CALCULUS EXAM TOMORROW RAHHH
Why go to class when you can just look up the topic of the lesson on the OCT channel? Fr saved me on multiple tests because of the simplistic and easy to understand explanations.
How does he explain it better in 20 mins than my professor in a 2 hour lecture? I should be paying this guy tuition not my school
You make everything question look so easy.. I love this videos!!!
Wish I knew about this earlier 😭😭❤❤
You never showed the washer method in this video.
Firstly I want to give thanks for you.After I started watching your videos on maths and physics I understand well.
Thank you 💗
From Iraq 🇮🇶
For 19:20 doesn’t 3/2 squared mean 3/2 • 3/2. Am I wrong?
thnks for this......
You know that the video will be useful when you see those different colours on the cover of the video
11:40 the points are x=0 & x=4 plz correct this question. Thanks
And you are a good teacher. Always be happy 💕💞❤️💗💞💕
The question stated that it's x=0, and y=4 and he converted the parabola to be in terms of y so that he would integrate since we know the bounds of the y axis. I don't see anything wrong
I am taking Calculus 2 this coming semester. Thank you
JG has done more for me than any college course. Algebra, Calculus, Chemistry, Physics. This guy is a saint among men.
This man deserves the world
"Now it's your turn" sounded so funny 😆 😄 🤣 😂
calc 1 final coming up. you've helped me squeak by this semester
What are the odds this video is created only a month before I needed it?
Thank you
Thank you so much Mr. OCT! You make everything so much easier, thank you so much
thank you so much for these videos save me from the hsc
this SAVED my ass it makes sense now THANK YOU
i love you mr. the organic chemistry tutor
thanks man !!!!!!!
I need to know which tools he is using to write and drow ..please
Thanks man. You’re the best.
Great explanation
I am in chemistry in highschool idk what this is it just caught my attention
you just made this so easy while my prof makes it the hardest thing to learn
I can't wait to see maths at A level . Add maths not bad and it is a good foundation for pure maths only application and I can achieve the grade .
it's 10:03 pm. the ap calculus bc test is tomorrow at 8 am. i have not yet learned the disc method or washer method and do not know what they even mean or what they're for. wish me luck
very helpful
ur my hero
I wondering how he knows a lot of topics, what is your course sir ?
thank you for your work, TOTC! you're too nice to be real
I usually miss😁😁😁😂the name to refer to this guy ,so i tell my friends look for a video beginning...."in this video.. 😁😁😁😁😁"
hope i pass my calculus test today !
Thank you for making this video! It was great.
i have an exam on this in less than 5 hours... yes it is 3:30am ....
I'm Sorry if I'm mistakened , but since its volume were finding aren't be the R(x) or R(y) values meant to be cubed instead of squared ?
Man u are making videos regularly now
I have a question,can you please help me to answer it?
Here's the question
"The region in the first quadrant bounded by the coordinate axes, the line y=3 and the curve x=2√(y+1) is revolved about y axis to generate a solid. Find the volume of the solid."
Bro youre acc the goat fr fr
am i tripping or did this man not use the washer method in a single example..?
Gracias. ❤
thanks broski 😘😘😘
how do
you know if it's a disk or a washer? i don't know how to do the drawings
I can just find the volume of any solids by using archimedes principle
Hello can you please answer this question. How do you do washer method when you don’t know the graph of the equations, or they’re complicated to draw? Thank you
Actually, you don't have to draw if you are dealing with one equation such that f(x) rotated about the x-axis Or f(y) rotated about the y-axis. In each of these situations, the volume is V=π(R^2)h and can be obtained by taking the antiderivative/integration of π(R^2) since h becomes dx when R(x) and h becomes dy when R(y).
V=antiderivative of π(R)^2dx or πR^2dy, whichever is applicable.
For example, y=4x+3, then R(x)=4x+3.
So, V=antiderivative of π[4x+3]^2 dx
And example 2, x=2y^2-3 then R(y)=2^2-3.
V= antiderivative of π(2y^2-3)^2 dy
Actually the best
Got my exam in 18 hours, TH-cam got my back
I'm about to just pop in my headphones and watch these videos during my Calc II class cuz the teacher aint giving me any relevant information on the topic and I feel like I'm waisting four hour of my life every week
i need this but when revolving around like y=11
great vid thanks boss
man I love you so
Why it's called «Disk & washer»
bro i luv u like im gonna cry
i'm really struggling now , coz i cannot find the full video, please reuploaded if you do not mind, i cannot find any video with your quality around., just that video. to be honest i will not pay 10 dollars for just one video.
Bro anyone cramming before tomorrow’s test?
Mee
what does d represent?
this video explained to me that I've always had a terrible teacher
How about washer method?...or am i dumb enough to not realizing it was the same thing with disk
is there any difference bw disk or a circle?
15:48 you mean to say y-axis
idk if im trippin but u never explained the washer method
They’re the same. Disk/washer method. The other method you may be looking for is the Shell method
Got my calc 2 final in about 3 hours if i pass i pass the class :')
Where the hell was the washer method? this was just disk
Genious🔥🔥
Where's the washer method?
Who read this as dishwasher method😂
Me lol
me..
haha
Uhu it isn’t the dishwasher method????
Me😂
true
dont even attend my calc 2 lectures anymore this is all i need bless you sir
I can't understand a thing my calc 2 professor says
@@stevensoublet1977 yeah that's me with my physics professor, ugh.
@@toastedsniper9248 I had a chemistry teacher who spoke an extremely thick indian accent. He also gave the impression he didn't like being interrupted during lecture, for any reason. If you have a question, save it for the end of class... It's a bloody miracle i passed.
@@n0nexreb0rn4 yep. mine is russian with a very thick accent. if you have questions the dude yells at you.
Right? Like it isn't even my professors thick accents. Like they just don't ungabuna the method enough for me.
Finals is in 12 hours, wish me luck
I hope made it bro
finals in 3 hours 🥰
Currently taking an accelerated Calculus 2 class over the summer your videos have been so helpful. Thank you for being so clear and concise.
Same, I had to retake it this summer and this time around I've been watching these videos. So far I've been doing much better.
Bruh summer calculus II has been kicking my ass. I missed the first week and I have to catch up even though we’re doing one section everyday 😭
Hang in there everyone! Yes it may be hard but it will also be over before you know it!
I literally misread the title as "dishwasher"
“Dish and Washer method”
Great work! But I think you have only discussed disc method in this video. Where is the Washer method?
I love this guy but it says disk and washer method and only goes over the disk method :(
correct me if I'm wrong, but isn't the washer method the one that involves two functions on the graph (ex: y = 2x, y = 5x + 1)? If so, I didn't notice the washer method in this video, only the disc method.
You are right but they are basically the same thing anyway. As you said, the washer method involves two functions and you apply the disc method twice and substract the little one fromm the bigger one.
@@paulagaona9622 nope they aren't.
washer method covers rings, disc method covers ,well discs and shell method covers both.
isnt this just the disk method? where is the washer method in this video?
Definitely need this for the calc 2 test tomorrow. Thanks!
how is calc 2? im taking it next semester
@@natsumesflowers7152 I'm just barely passing at the moment. When you take this class I recommend after every lecture practice for atleast an hour what you learned including perhaps watch one of these videos of what you learned. Wish you luck.
@@natsumesflowers7152 You doing good bro?
@@natsumesflowers7152 yea u did good in calc 2?
@@clearflow7925 man i got away with a D 😭
This was a really good video... If I was a milk drinker lol you are NOTHIMG compared to Dave Dav is a genius and his intellect is unmatched resistance is futile Deyv is coming!!!!!!!!! Now!!!!!
Watching these videos instead of my hack of a professors videos
Who is excited that he is finally back? Just came to check if a new video was posted. As always thanks for a great explanation
"I am excited that he is paywalling his older, better videos"
I got a B in calc 1 because of you ! Now I'm back for calc2 ...thank you so much ❤️ i hope when I get my degree and work I'll be able to donate to your channel ❤️❤️❤️
Ayee! Same here good job fam
The title is misleading. There was no explanation for the washer method. I understand you are trying to get your bag with patreon, but man... at least include examples with the washer method or when the axis of rotation is not the x/y axis.
stfu
Bruh... they’re the same thing
@@jackiestine3014 They are not the same method
Yeah, I came on this video looking for an explanation for the washer method, but I couldnt find one
Mfs thats how we learn it in mf college calculus II in my mf book its called disc/washer method yall need to stfu and leave the guy do his thing.
There’s no washer method??
Washer is what they call it on the Y axis I think. Not sure personally but thata what I thought
No, Washer is with big radius and little radius.
B
Pi |((R(x))^2 - (r(y))^2)dx
A
Same for Y axis.
I saw someone saying the washer is only used when you rotate with a bottom line that's curved and not straight like x/y axiis. Like rotating the area between two functions
to those taking the ap calc ab exam monday- good luck :D
i believe in you
Thank you so much😭😭 praying all goes well for you too if you’re taking the exam monday!!
Bro I just started studying and I have to take that test in 4.5 hrs
Instructions unclear, my dishwasher is now my maths tutor
What
yo? 😳
@@Murtexel What
@@HassanHussain-dg4se lowkey need that dishwasher tho
Is it possible to put the long version disk washer method back? There are so many problem-solving practices. Thank you.
Math teachers and physicists HATE him!
Watch as he condenses 4 hours into 20 minutes!
hello , can i please confirm that he only showed the disk method in this video right cuz i cant see washer method .
@@angelbisla6369 iirc he did both