Does that mean that it takes 1/10 the time to learn the same amount, or that you now know how to solve 10 times the number of problems. The idea that it works out as an integer rather than say, 9.841 times better is intriguing. . . . .Perhaps I’m taking this too literally.
Thanks Professor Dave, you're a live saver. I didn't understand anything about this topic from my textbook but your video explained everything soooo clearly!!!!
Thanks a million for such amazingly helpful videos as I don't understand anything on the lectures and thanks to u I've survived for the last 3 years studying it😂😂😂😂😂😂😂😂❤❤❤❤❤❤
At around 2:17 you say But we want this in terms of the radius of the sphere, because that is unchanging. I didn't understand that part. Can't we integrate with y and dy in that part.
Can you help me on this:Determine the volume of the solid generated by revolving the plane area bounded by the curve y^(2)=4x and x=4 about the line x=4.(Small Hint will work).Thanx For the reply btw.
you're honestly such a livesaver. i feel so lucky to have stumbled across one of your videos! keep it up man you're helping alot of people with these videos!
@Professor Dave Explains Hello Professor, I have been looking for blueprints for a 10-gores bulbous hot air balloon on the Internet and found zip. So I was wondering about designing one meself. Only I need the mathematical formulas and a few advanced Geometry lessons. Would you have a video that could help me? Something oriented with curves and volumes... Regards, Thomas from Brussels, Belgia.
You explain everything so well and clearly , you're videos are so awesome !! Thank you so so sorry much , and please keep it up , I'd donate if I had the money!! 😊
The dislikes are from the math professors that could not do as good of a job of explaining these concepts as you did. In all seriousness, these videos are amazing and I will definitely be visiting them frequently
I got a question so how do we know like on the disk method how high the function is for example let’s say we got root x as a function right, So we know how long it goes by the x axis let’s just say 0-8 but what would the y axis be cause we don’t plug it in the formula
Thanks you Dave, your lesson is so fun and easy to learn, finally I can calculate the volume of sold of revolution through integral, math is sooo interesting, love your video so much !! (cant remember those time study math in my school, bored af :( )
Can I cut some parts of your video about 3D shape to add them in my presentation at class? I will share your channel to my classmates. Your video is so helpful
Hi Professor Dave. I have a request that you may find interesting or not, it’s a mathematical one. I have always found it hard to understand “Inter-universal Teichmüller theory”, “The Collatz Conjecture”, and “The Birch and Swinnerton-Dyer Conjecture”. If you would make a video on one of these topics that would really help 😊 I’m studying a Master’s in mathematics in Denmark. I’m sorry for my English, I’m not mothertongue in English. Btw, I love your content.
I got lost @3:45, why did the x disapear, and r^3/3 replaced x^3/3 and power of r increase? If I am following right, did you sub r in for x since you are evaluating at the limits?
If I try to replace y by R Sin(theeta) and try to integrate from angle o to pai/2..I dont get the desired result. Not sure what is wrong I m doing here. So my integeral is sum (pai R^2 Sin^2theeta delta dheta) from 0 to pai/2.
Ce qui serait bien, c'est d'aller voir comment les pays qui réussissent s'y prennent afin d'éviter de toujours revenir au passé, à l'école à l'ancienne et à la règle de trois, qui cela dit en passant n'est plus enseignée dans certains pays qui réussissent très bien les tests internationaux. Tant que la France ne sortira pas ce de paradigme, les choses ne cesseront pas de se dégrader.
dude the 3 calc professors at my school suck so much but you are amazing. you actually explain why things are the way they are instead of just writing long equations on the board and skipping steps
I come from Tanzania. I use many books for understanding but I look it is so difficult to me but through your teaching I have started nice understands about calculation of volume of a solid of revolution, so thanks
Holy shit you are a god at generalizing a concept for first timers. Very wonderful, the concept is most important because practice inevitably can be done to solidify said concepts
thank u so much for this i literally forgot how to find volume using integration meanwhile i have an upcoming mock exams for my AS levels tmr, you saved my life! hahaha
I know it's too late but to answer your question, as you can see @7:19, a washer (disc hole) if it is an area enclosed between a curved and a line rotated to the x-axis.
for the sphere, since it is dx cross section, shouldnt it be the y values to integrate? which nevertheless doesnt matter since it would still be -r,r but thoughts?
Hello I have a question, when we integrate we get the area between the limits of the 2D region. So why can't we multiply the area with 2pi to get the volume of the revolution? Why do we multiply with pi instead of 2pi? Help will be much appreciated. Thanks
Thanks man! Rad video haha I watched it with a bunch of other people and had so much fun haha. THIS VIDEO WAS SO MUCH BETTER THAN MY FUCKING STUPID TEACHER WHOM I WOULD MAIM WITH A ROCK (humongous rock btw lol) AT THE DROP OF A HAT. thanks again :^)
That bit where we all of the sudden derive the formula for a sphere’s volume via integration has to be one of the coolest things I’ve ever seen.
this is 10 times better explained than in my math book
As a math teacher, I agree with this! Haha
Does that mean that it takes 1/10 the time to learn the same amount, or that you now know how to solve 10 times the number of problems. The idea that it works out as an integer rather than say, 9.841 times better is intriguing. . . . .Perhaps I’m taking this too literally.
This is so true and frustrating
Text book? If so what book are/were you using
Change it 1000*
🙌🏻🙌🏻
By far the best physics and math tutorials on youtube. Some explanations are kept so simple to understand, its better than going to class
Thanks Professor Dave, you're a live saver. I didn't understand anything about this topic from my textbook but your video explained everything soooo clearly!!!!
This account is AMAZING. He gets right to the point in every video and it makes sense.
This explanation saved me for my calc exam!
Thanks a million for such amazingly helpful videos as I don't understand anything on the lectures and thanks to u I've survived for the last 3 years studying it😂😂😂😂😂😂😂😂❤❤❤❤❤❤
thank you so much, you will never know how grateful i am for this
Thank you professor, this was an excellent supplement for my integration studies
Wow. The explanation is superb
Excellent Sir
what a brilliant explanation
Not gonna fail my exam tomorrow anymore, thank you!
you explained this in 11 minutes compared to two hours of lecture. wow!
an outstanding video, a masterpiece
For the X, why did he make it x^2, is it because it’s the outer radius?
Thank again for this very clear video
genuinely so good, ty!
Nice explanation
Thank you a lot, Professor Dave!
Very well done sir! Thank you!
Im in love with that intro
9:44
« And figure out what the ff-«
Literally thought he is going to drop an f bomb xD
At around 2:17 you say But we want this in terms of the radius of the sphere, because that is unchanging. I didn't understand that part. Can't we integrate with y and dy in that part.
3:57 wow easier than what my professor taught years ago
How can y be the radius in the formula A= pi * y^2,when y is only the radius at the instance where x=0 ?
Thanks a lot. Very well explained. ❤️
Can anyone please explain to me the role of x when he calculates the volume of the sphere? Does x play any role at all or is it just there?
Good PROFF!!!!👏
sir i wanna ask if there is no bounds and the curve goes to infinity, what should i do? should i just integrate it from 0 to 1??
amazinggggg
realllyyy helpful keep it up
Man this is real easy.
Is it possible to do this with very irregular shapes, where it’s integrating x^2 and y^2
first watched your flat earth series, now this, good job keep it up :D cheers from Serbia
my math book has some (dy/dx)^2 + 1 all under a root bullshit. This was very helpful!!!!!!!
which software is used in this video like like rotating a curve along xaxis and make a 3D shape to find volume??
I did in after effects and it took freaking forever. It’s not 3D I just animated solids to look that way.
5:31 why is it square root of x? I don't get it
units will be in cubic ?
Yes I think so
What app or website did you use to model this
Adobe after effects
best video ever
How to make this kind of animation? Anyone knows what software to graph this. Help :")
Adobe After Effects
Can you show me the animation of the revolution of the last question.
those little 1-2 second animations took me over an hour each, so i won't be doing more of those anytime soon!
Can you help me on this:Determine the volume of the solid generated by revolving the plane area bounded by the curve y^(2)=4x and x=4 about the line x=4.(Small Hint will work).Thanx For the reply btw.
Nice
How fabulous is this...❤❤❤🥹🥹🥹🥹thank you life saver...
Nothing better than Jesus teaching me how to do calculus before an exam
crazy😭😭😭😭💀
JJ?
It’s all fun and games until your teacher gives you this in conics
you're honestly such a livesaver. i feel so lucky to have stumbled across one of your videos! keep it up man you're helping alot of people with these videos!
Our math teacher made us watch u in class xD everyone cracked up at ur intro
Our teacher made us watch it in BTech......
our teacher made us wach him in level physics
This is such an amazing video. Most professors miss out on actually helping us visualise like you just did.
@Professor Dave Explains
Hello Professor,
I have been looking for blueprints for a 10-gores bulbous hot air balloon on the Internet and found zip.
So I was wondering about designing one meself.
Only I need the mathematical formulas and a few advanced Geometry lessons.
Would you have a video that could help me?
Something oriented with curves and volumes...
Regards,
Thomas from Brussels, Belgia.
You explain everything so well and clearly , you're videos are so awesome !! Thank you so so sorry much , and please keep it up , I'd donate if I had the money!! 😊
What is thank you so so sorry much 😂😂😂😂
@@arnabnath6601 maybe auto correct probe, XD
@@devakinandan7659 was just kidding 😁😁 anyway thank you 😊😊
@@arnabnath6601 no probs :-)
He is the jesus of math
The dislikes are from the math professors that could not do as good of a job of explaining these concepts as you did.
In all seriousness, these videos are amazing and I will definitely be visiting them frequently
I got a question so how do we know like on the disk method how high the function is for example let’s say we got root x as a function right,
So we know how long it goes by the x axis let’s just say 0-8 but what would the y axis be cause we don’t plug it in the formula
Thanks you Dave, your lesson is so fun and easy to learn, finally I can calculate the volume of sold of revolution through integral, math is sooo interesting, love your video so much !! (cant remember those time study math in my school, bored af :( )
Can I cut some parts of your video about 3D shape to add them in my presentation at class? I will share your channel to my classmates. Your video is so helpful
Hi Professor Dave.
I have a request that you may find interesting or not, it’s a mathematical one. I have always found it hard to understand “Inter-universal Teichmüller theory”, “The Collatz Conjecture”, and “The Birch and Swinnerton-Dyer Conjecture”. If you would make a video on one of these topics that would really help 😊
I’m studying a Master’s in mathematics in Denmark. I’m sorry for my English, I’m not mothertongue in English.
Btw, I love your content.
Your English is better than most native speakers xD. No need to apologize.
@@vanskis7618 Lol, thanks. I never did ‘perfect’ in school when I had language of any forms…
I got lost @3:45, why did the x disapear, and r^3/3 replaced x^3/3 and power of r increase? If I am following right, did you sub r in for x since you are evaluating at the limits?
This is the best explanation I've found on Solids of Revolution, thanks!!
Dave, I am in love with you. Thanks.
If I try to replace y by R Sin(theeta) and try to integrate from angle o to pai/2..I dont get the desired result. Not sure what is wrong I m doing here. So my integeral is sum (pai R^2 Sin^2theeta delta dheta) from 0 to pai/2.
Very very nice explanation 👍👍👍.
Is this the disc method or the shell method?
Ce qui serait bien, c'est d'aller voir comment les pays qui réussissent s'y prennent afin d'éviter de toujours revenir au passé, à l'école à l'ancienne et à la règle de trois, qui cela dit en passant n'est plus enseignée dans certains pays qui réussissent très bien les tests internationaux. Tant que la France ne sortira pas ce de paradigme, les choses ne cesseront pas de se dégrader.
dude the 3 calc professors at my school suck so much but you are amazing. you actually explain why things are the way they are instead of just writing long equations on the board and skipping steps
erika and zara and annabelle
This is genuinely the best video I have ever watched over the subject. Thank you so much!! a literal lifesaver
At last i have understood what goes on around solids of revolution by integration method, kudos Prof. Dave
I come from Tanzania. I use many books for understanding but I look it is so difficult to me but through your teaching I have started nice understands about calculation of volume of a solid of revolution, so thanks
this is the way to understand concepts. thanku
The Rembrandt of math videos - truly exceptional!
Professor Dave may God protect you continually, you are helping us more than our teachers. So thanks🙏🙏
God just 3 min and my doubt became crystal clear ❤
I LOVE YOUR EXPLANATION SIR
Sir explained 100x better than out lecturer
sağol reis sen anlatana kadar anlayamamıştık eyvallah
this is the 10th video I watched and finally washer method clicked thank you dude your saving my AP Calc grade 😭
What a explanation ! I am impressed by your process of teaching.
Holy shit you are a god at generalizing a concept for first timers. Very wonderful, the concept is most important because practice inevitably can be done to solidify said concepts
thank u so much for this i literally forgot how to find volume using integration meanwhile i have an upcoming mock exams for my AS levels tmr, you saved my life! hahaha
Loved the start part 👍😂😂
Professor Dave
can you explain why everyone uses this Math Alien Language I got no way I can understand it
Start earlier in the mathematics series and pick up what you're missing!
I'm from India , really very helpful this explanation with animation
after this video you made me fall in love with the subject I used to hate the most. thank you
omg this makes 100X more sense, THANK YOU SO MUCH!!!!!
Kindly could you tell me what is the used program to make such a great video
adobe after effects
I have an AP Calc BC online test in 38 mins, I’m learning this now... please pray for me
@@ggeorge02 perfect score, easy dubs
thankk uucramming this midterm n this helped
Hi professor Dave, there is a question I don’t understand how can I know if it’s disc or disc hole or shell????? I am really confused please help
I know it's too late but to answer your question, as you can see @7:19, a washer (disc hole) if it is an area enclosed between a curved and a line rotated to the x-axis.
WHAT THIS IS LIKE A WHOLE NEW SIDE TO EVERYTHING IVE NEVER KNOWN THANK YOU
I've learned it without really understanding the logic and proof behind it. If only would somebody had explained me this way, Jeez. You're amazing!
explaining things?? you're asking too much from regular math teachers!
Great video🤩but please consider leaving the answers to the compression as it is quite useless not to🥺
The valume generated by revolving the area bounded by y2=8x and the line x=2 about y axis is ???? Sir please solve
for the sphere, since it is dx cross section, shouldnt it be the y values to integrate? which nevertheless doesnt matter since it would still be -r,r but thoughts?
1st time on this channel and cannot go back without Subscribing this channel 😍
This is a million million million million times better than any other lecture.
Hello I have a question, when we integrate we get the area between the limits of the 2D region. So why can't we multiply the area with 2pi to get the volume of the revolution? Why do we multiply with pi instead of 2pi? Help will be much appreciated. Thanks
Thanks man! Rad video haha I watched it with a bunch of other people and had so much fun haha. THIS VIDEO WAS SO MUCH BETTER THAN MY FUCKING STUPID TEACHER WHOM I WOULD MAIM WITH A ROCK (humongous rock btw lol) AT THE DROP OF A HAT. thanks again :^)
Great explanation and quality video! I appreciate it!!!
Thank you very much...it was really helpful