This is how a professor is supposed to teach, with joy and clearness. Thank you, this video really helped me better understand the concept of the washer method.
i cant put my finger on it but i love the way you teach in this video it’s so clear and focuses on the set up. edit: omg i’m so glad you told me top-bottom=radius, i feel like that clears so much, i didn’t realize it equaled radius.. thank you sm
When I was doing a maths preparatory course at university I didn't even attempt a question similar to these because I wasn't confident enough. Thank you for showing me that these types of questions aren't as scary as I thought, and that they're actually quite fun.
What an amazing video, thank you for this! You are such a great teacher! Crazy how we're paying thousands of dollars for an education and still end up turning to RUclips!
I'm not going to lie, it's not everything I see in this channel I understand at once but I know they will be super useful to me later once I start calculus properly... Just next year.
I have a question: How are we going to integrate and calculate areas if we want to rotate diagonally (around an axis of y=mx+c)? I think it's challenging!
@@Eyelidyoinker It's never too late. I had the exact same question and I can't seem to find a reasoning why until now. This makes sense and thank you for your explanation :)
hi. is there any way you could do a video about rotating around an angled line eg y=x. if not what are some good reasorcces to properly understand this concept
At minute 15 i decided to get everything in terms of x and got the same answer(just in the y world),if i would do that on a test would it be considered wrong?
I'm a bit confused - with the second example, the integral is set up as x^3/3 - x^7/7. This makes sense because the line y=x is bigger than the line y=x^3. However, right for the next example, you do the opposite. Why is this? When I worked on it myself I did (y^3 - 2y) as the set up of the integral but it is wrong. Can someone explain to me why?
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I like that you look at the camera and smile for no reason :D Thanks for the video sir.
whenever i dont understand what he is doing, he looks at the camera and smiles. sometimes that smiles makes me angry. he is a good teacher tho.
You explained in 25 min what took my professor two weeks to explain. Holy…thank you so much
This is how a professor is supposed to teach, with joy and clearness. Thank you, this video really helped me better understand the concept of the washer method.
Glad it was helpful!
Understanding the concept behind this is the most important thing. Damn it feels good when you understand everything
You explained it in less then 30 minutes when it takes teachers and professors 2+ hours to explain this stuff. Outsanding.
You drawing the picture for the last example finally made it make sense in my head. Thank you!
😃
Subtracting one diagram from the other is what really made it click for me, you are the goat!!
i cant put my finger on it but i love the way you teach in this video it’s so clear and focuses on the set up. edit: omg i’m so glad you told me top-bottom=radius, i feel like that clears so much, i didn’t realize it equaled radius.. thank you sm
Lol I have an exam over this at 8am tomorrow morning. Wish me luck!!!
Best of luck!
Have one in 45 minutes
Does it get better? 😞
@@allengarcia2019quite the opposite actually
Same here
Thank you!! I've been having such a hard time drawing out the pictures and your explanations and drawings help so much
Glad to help 😃
When I was doing a maths preparatory course at university I didn't even attempt a question similar to these because I wasn't confident enough. Thank you for showing me that these types of questions aren't as scary as I thought, and that they're actually quite fun.
Hi there, I just wanted to take a moment to thank you as I have my calc final tomorrow. This has been really helpful!
Best of luck to you : )
This video made me realize I'm not stupid, I just needed a proper explanation of the set up. Thank You!!
BRO YOUR VIDEO SAVED MY BROTHER AND I'S LIVES THANK YOU SO MUCCCHCHCHCHHCHCHC
What an amazing video, thank you for this! You are such a great teacher! Crazy how we're paying thousands of dollars for an education and still end up turning to RUclips!
I watched too many videos about it and you are the best one you solve questions easy to hard thank you
After scourging the internet this is the most comprehensive and time efficient guide that covers everything.
I'm not going to lie, it's not everything I see in this channel I understand at once but I know they will be super useful to me later once I start calculus properly...
Just next year.
You're the best sir watching you from Africa in Zambia 🇿🇲
extremely well explained, this covers my whole chapter thank you man! inspirational :)
Thanks a lot BPRP! Always appreciate these vids!
Your videos are really understable,I think my calculus 2 is getting better day by day
such a positive and helpful video! i love your concise way of explaining math. will be watching more from you :)
Thank you!
thank you so much for this video i really needed someone to explain the 3d stuff to me and now i finally get it. God bless you sir
10:00 22:23
don't mind me just listing the ones that really helped me!!
I have a question: How are we going to integrate and calculate areas if we want to rotate diagonally (around an axis of y=mx+c)? I think it's challenging!
Check Michael Penn’s channel, I think he did one of those last week.
Yea he did!
You are brilliant, thanks for the class.
interesting,now find the surface area
Made the concept very clear! Thank you!
Thank you so much for explaining. This is very helpful, and I understand the concept so much better now.
lmao what are the chances i see this video when I just did a lesson on volumes of solids of revolution today. thanks so much for the video
Lmao me too I think his calc 2 class must be doing the same units
dude you saved my grade
For question 3 , shouldn't it be y^2 - 2y and not the other way round? Because the curve is above the line?
That’s what I was thinking
@@lilliampumpernickle4655 Probably too late to answer this but its because of the distance from the axis of rotation the y axis in this case.
@@Eyelidyoinker It's never too late. I had the exact same question and I can't seem to find a reasoning why until now. This makes sense and thank you for your explanation :)
wow, very informative. thanks for sharing!
true! perfect score on the next quiz!
Literally saved my life!
omg you did nearly all the problems of my hw lol I love you
Thank you for saving my brain getting lost in space..❤
at the last one you can use the shell method using the dx, which I find easier
very helpful video thankyou bro that helped a lot☺
that was very usefull ,thx :)
Thank you so much! You have such a great way of explaining!
Excellent video. Thank you very much!
Very Good! Thank you.
Thanks!
10:51
Thanks for nice presentation.
Question: why do we use dL (dL²=dy²+dy²) for surface of revolution integration but only dy or dx with no slant for volume?
That's a good question
You be my dream teacher.
this is good and have help me a lot thanks😵
Thank you so much!!
Thank you bro
u r the goat bro tysm
Very helpful... thanks
hi. is there any way you could do a video about rotating around an angled line eg y=x. if not what are some good reasorcces to properly understand this concept
Thank you Prof.
you are the best thank's a lot
At minute 15 i decided to get everything in terms of x and got the same answer(just in the y world),if i would do that on a test would it be considered wrong?
Thank you
Could you do a the surface area
Sir, how about comparing the shell method and disk method, does the two having a same results?
How do you know which function goes first?
My test is in 1.5 hours :D
Wow,.. Just wow
How you get 1,5 for the first problem?
In what areas are these used?
GOAT
Me still thinking In fast! He has big beard but in just calculus he is clean why?
These are old videos
lol this sounds an awful lot like physics
20 minutes…..
Bro will you marry me
Buy a proper Mike dont carry Mike in hand.
Buying people is illegal
I'm a bit confused - with the second example, the integral is set up as x^3/3 - x^7/7. This makes sense because the line y=x is bigger than the line y=x^3. However, right for the next example, you do the opposite. Why is this? When I worked on it myself I did (y^3 - 2y) as the set up of the integral but it is wrong. Can someone explain to me why?