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.
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!
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
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 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
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😂😂😂😂😂😂😂😂❤❤❤❤❤❤
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
Out standing explanation sir I have never seen such type of explanation in my life. Accept my heartily congratulation from bottom of my heart for such excellent explanation.
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.
Awesome video, My head was spinning trying to make sense of this from my text book. But then again, it only makes sense to learn about volume via a medium where 3 dimensions can be better represented, such as a video, rather than a piece of paper or white board. Thanks!
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!! 😊
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
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
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 :( )
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.
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
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?
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.
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?
@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.
![Twenty One Pilots - “The Line” (from Arcane Season 2) [Official Music Video]](http://i.ytimg.com/vi/E2Rj2gQAyPA/mqdefault.jpg)
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*
🙌🏻🙌🏻
This is such an amazing video. Most professors miss out on actually helping us visualise like you just did.
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!
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
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
It’s all fun and games until your teacher gives you this in conics
There is an obvious reason why your explanation is unique. You actually make us visualize the actual damn question. Much love
Nothing better than Jesus teaching me how to do calculus before an exam
crazy😭😭😭😭💀
JJ?
This is a million million million million times better than any other lecture.
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
By far the best physics and math tutorials on youtube. Some explanations are kept so simple to understand, its better than going to class
Professor Dave may God protect you continually, you are helping us more than our teachers. So thanks🙏🙏
THANK YOU SO MUCH! AFTER 7 HOURS, YOU’RE THE FIRST PERSON TO EVEN MENTION AREAS ENCLOSED BY 2 FUNCTIONS.
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!
This is the best explanation I've found on Solids of Revolution, thanks!!
At last i have understood what goes on around solids of revolution by integration method, kudos Prof. Dave
WHAT THIS IS LIKE A WHOLE NEW SIDE TO EVERYTHING IVE NEVER KNOWN THANK YOU
This is genuinely the best video I have ever watched over the subject. Thank you so much!! a literal lifesaver
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!!!!
Sir explained 100x better than out lecturer
There’s something so beautiful and elegant about this concept! Great video as always!
after this video you made me fall in love with the subject I used to hate the most. thank you
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 account is AMAZING. He gets right to the point in every video and it makes sense.
This explanation saved me for my calc exam!
These visuals are 10/10 and you are too! I wish ALL teachers were like you!
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😂😂😂😂😂😂😂😂❤❤❤❤❤❤
I'm from India , really very helpful this explanation with animation
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
Out standing explanation sir
I have never seen such type of explanation in my life.
Accept my heartily congratulation from bottom of my heart for such excellent explanation.
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…
thank you so much, you will never know how grateful i am for this
Awesome video, My head was spinning trying to make sense of this from my text book. But then again, it only makes sense to learn about volume via a medium where 3 dimensions can be better represented, such as a video, rather than a piece of paper or white board. Thanks!
Beautiful explanation and graphics make the concepts crystal clear!
u doing engineering too?
The Rembrandt of math videos - truly exceptional!
What a explanation ! I am impressed by your process of teaching.
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 :-)
We genuinely appreciate and support your work ❤️.
Now I'm actually beginning to understand calculus, thanks Prof Dave
this is the 10th video I watched and finally washer method clicked thank you dude your saving my AP Calc grade 😭
Dave U ARE THE GOAT
I LOVE YOUR EXPLANATION SIR
Tbh if i was a teacher i would always show these type of videos to class...cause it explains better than i would and majority of teachers
you explained this in 11 minutes compared to two hours of lecture. wow!
this is the way to understand concepts. thanku
sağol reis sen anlatana kadar anlayamamıştık eyvallah
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
Thank you professor, this was an excellent supplement for my integration studies
Thank you sir for your dedication and for making this free! 🙏
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
Not gonna fail my exam tomorrow anymore, thank you!
Wow. The explanation is superb
Wow! I didn't understand anything until you explained!
what a brilliant explanation
1st time on this channel and cannot go back without Subscribing this channel 😍
best video on volumes ever
you are the best Prof Dave
So clear. Brilliant job.
Great way and break down for people to understand the concept✊✊
omg this makes 100X more sense, THANK YOU SO MUCH!!!!!
Very very nice explanation 👍👍👍.
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 :( )
an outstanding video, a masterpiece
Best Explanation ever!
Professor, best of the math
Properly good animations. Thank you.
3:57 whoohoo! You found volume of a sphere.
Archimedes did it first 2000 years ago
I have been having trouble getting this. I think I actually do. Love the way you explain this
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
Im in love with that intro
every video professor dave makes us more in love with science . ;D
even though this was made over a year ago, this was very helpful. Thank you.
For the X, why did he make it x^2, is it because it’s the outer radius?
You made me very happy! Thank you!
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.
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
Yo that explanation was str8 fuckin fire my dude
thank you, makes so much sense now
You explained everything so clearly. You are awesome! I wish I had money so I could donate you
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?
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??
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.
Excellent Sir
thankk uucramming this midterm n this helped
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?
I watched all your Calculus playlist and aced my Calculus final. And I didn't even read the class textbook!!!!
Great explanation and quality video! I appreciate it!!!
You really are a professor
Thank again for this very clear video
@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.
I like your introduction video song
Watched many times....
Great job professor 👍...
Thank you for this wonderful explanation with an equally wonderful accompanying visual!
So elegant and beautiful!
Kindly could you tell me what is the used program to make such a great video
adobe after effects
Thank you sir, this is an excellent review! You're really saving me in college rn
Excellent Presentation. Regards and Love.
Nice explanation
genuinely so good, ty!
Thank you a lot, Professor Dave!