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
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!! 😊
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!!!!
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
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.
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
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 :( )
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
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.
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😂😂😂😂😂😂😂😂❤❤❤❤❤❤
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!
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
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
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 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?
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?
@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.
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.
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*
🙌🏻🙌🏻
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!
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.
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
This is such an amazing video. Most professors miss out on actually helping us visualise like you just did.
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
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
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
By far the best physics and math tutorials on youtube. Some explanations are kept so simple to understand, its better than going to class
This is the best explanation I've found on Solids of Revolution, 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!! 😊
What is thank you so so sorry much 😂😂😂😂
@@arnabnath6601 maybe auto correct probe, XD
@@devakinandan7659 was just kidding 😁😁 anyway thank you 😊😊
@@arnabnath6601 no probs :-)
At last i have understood what goes on around solids of revolution by integration method, kudos Prof. Dave
This is a million million million million times better than any other lecture.
There is an obvious reason why your explanation is unique. You actually make us visualize the actual damn question. Much love
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 is genuinely the best video I have ever watched over the subject. Thank you so much!! a literal lifesaver
WHAT THIS IS LIKE A WHOLE NEW SIDE TO EVERYTHING IVE NEVER KNOWN THANK YOU
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
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!
THANK YOU SO MUCH! AFTER 7 HOURS, YOU’RE THE FIRST PERSON TO EVEN MENTION AREAS ENCLOSED BY 2 FUNCTIONS.
There’s something so beautiful and elegant about this concept! Great video as always!
Professor Dave may God protect you continually, you are helping us more than our teachers. So thanks🙏🙏
Sir explained 100x better than out lecturer
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…
This explanation saved me for my calc exam!
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
The Rembrandt of math videos - truly exceptional!
after this video you made me fall in love with the subject I used to hate the most. thank you
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 :( )
This account is AMAZING. He gets right to the point in every video and it makes sense.
Beautiful explanation and graphics make the concepts crystal clear!
u doing engineering too?
What a explanation ! I am impressed by your process of teaching.
10:41, I am confused, if the parabola along y is rotating around the x axis, the area is infinite....
We genuinely appreciate and support your work ❤️.
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
this is the way to understand concepts. thanku
thank you so much, you will never know how grateful i am for this
Now I'm actually beginning to understand calculus, thanks Prof Dave
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.
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😂😂😂😂😂😂😂😂❤❤❤❤❤❤
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!
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
These visuals are 10/10 and you are too! I wish ALL teachers were like you!
sağol reis sen anlatana kadar anlayamamıştık eyvallah
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
I LOVE YOUR EXPLANATION SIR
Very very nice explanation 👍👍👍.
Wow! I didn't understand anything until you explained!
this is the 10th video I watched and finally washer method clicked thank you dude your saving my AP Calc grade 😭
you explained this in 11 minutes compared to two hours of lecture. wow!
Thank you professor, this was an excellent supplement for my integration studies
I'm from India , really very helpful this explanation with animation
3:57 whoohoo! You found volume of a sphere.
Archimedes did it first 2000 years ago
Wow. The explanation is superb
So clear. Brilliant job.
Not gonna fail my exam tomorrow anymore, thank you!
Excellent Sir
1st time on this channel and cannot go back without Subscribing this channel 😍
what a brilliant explanation
omg this makes 100X more sense, THANK YOU SO MUCH!!!!!
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
even though this was made over a year ago, this was very helpful. Thank you.
best video on volumes ever
Properly good animations. Thank you.
you are the best Prof Dave
Great way and break down for people to understand the concept✊✊
an outstanding video, a masterpiece
Best Explanation ever!
Great explanation and quality video! I appreciate it!!!
I have been having trouble getting this. I think I actually do. Love the way you explain this
Thank you for this wonderful explanation with an equally wonderful accompanying visual!
For the X, why did he make it x^2, is it because it’s the outer radius?
Is this the disc method or the shell method?
Thank you so much! Keep up the good content!
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.
Yo that explanation was str8 fuckin fire my dude
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?
every video professor dave makes us more in love with science . ;D
You explained everything so clearly. You are awesome! I wish I had money so I could donate you
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
9:44
« And figure out what the ff-«
Literally thought he is going to drop an f bomb xD
Thank you a lot, Professor Dave!
I like your introduction video song
Watched many times....
Great job professor 👍...
Professor, best of the math
Very nice and important and good way to present integral :)
Loved the start part 👍😂😂
Thank again for this very clear video
Thank you sir, this is an excellent review! You're really saving me in college rn
Im in love with that intro
Amazing explanation! Thank 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?
@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.
genuinely so good, ty!
thank you, makes so much sense now
Kindly could you tell me what is the used program to make such a great video
adobe after effects
You really are a professor
Nice explanation
thankk uucramming this midterm n this helped
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.