Shell method for volume of revolution (rotated about different axis and lines)
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- čas přidán 5. 08. 2024
- Shell method for the volume of revolution. We will cover 7 calculus 1 homework problems on using the shell method to find the volume of the solid of revolution from the Stewart Calculus textbook book. This calculus tutorial will help you if you are taking calculus 1 or ap calculus AB.
Hint, it's easier to use the shell method than the disc/washer method when we are given y=f(x) and we rotate about the y-axis or a vertical line.
If you need to learn the disc/washer method, please see this video 👉 • Disc and washer method...
0:00 y=x(x-1)^2, rotated about y-axis
3:24 y=sin(x^2), rotated about y-axis
6:04 y=cbrt(x), rotated about y-axis
9:23 y=x^(3/2), rotated about x-axis
13:20 y=4x-x^2, rotated about x=1
19:43 x=2y^2, rotated about y=2
25:54 y=tan(x), rotated about x=pi/4
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"Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 bit.ly/just_calc
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#justcalculus
Good luck with your calculus 1 final!
Our calc one didn't go this far I don't think. We got to basic integrals and U sub and that's where we ended
@@williamhewitt4748 yeah same here. I’m in calc 2 rn and we’re learning these things
thank youuu so much actually this help soooooo much ❤❤❤❤❤❤❤
@@williamhewitt4748i’m learning this in calc 2 too
@@williamhewitt4748Are you in engineering? Well, if you are then you need to know how to find areas and volumes of different shapes by integration ...I really had a lot of problems to learn these methods
Thank you. You managed to teach this better in 30 minutes then my professor did over 2 weeks.
Classic
My professor spent one day on this and I'm out here like.... dog... cmon man
too relatable
LITERALLY SAVED ME BEFORE MY FINAL EXAM THANK YOU SO MUCH
I like your delivery and presentation. I subscribed and will look for your videos in the future. Thank you!
You are so amazing!!! The visuals helped immensely and now I know what region needs to be shaded and how to reflect it. Sending many blessings your way!
Great Video! Thank you sir! I struggle with this topic but after watching 3 of your videos about disk/washer, and shell method, I enlightened. May God bless you sir! MORE SUBSCRIBERS TO COME!
thank you math papa, you have been a life saver for my grade
This was extremely helpful !!
It was really helpful. Thank you.
your videos help so much thank uuu
thank you for making this helped me
Love you man...
Thank you, sir. After 2 years, we still find this vedio useful for me!
真的非常谢谢! 爱你，sir!
Thank you so much!
Really helpful.
Thank YOU!
Great video! Thank you for making it :)
Absolute legend
saved my grade thanks
thank you
ty king
crazy that cylindrical cells aren't part of the AP Calc curriculum. They expect you to find the inverse function and revolve that using washer integration instead.
I think that's wrong? I'm in AP calc and we're learning the shell method
Thank u sir
I'm saved, thank you so so much!
Why did i try to use disc method on problem 3 and it give a different result. Can someone help me, i got 1,25 but not 2,69
i like you, u teach well
double cheeked up on a tuesday
how would you solve using the shell method when one y value is your equation, another y value is a whole number, and your x value is 0 (about the y axis)?
very similar to the problem you solved at 9:33 but about the y axis.
you would use the disk method so x = (3sqrt(y))^2 and the limits of integration would be from 0 to 8 and you would use the formula pi * r^2
@@pronoobbs1323thank you so much this has really helped me
thanks you😊
Are these old videos bcoz i can't see your beard😃😃?
they are
Wow!
at 14:31, why were you just able to move the 3 over to the other side, instead of subtracting it on both sides? is because the equation equates to 0, and I just didn't know that you can do that?
he moved (4x-x2) to the other side. he kept 3 in its place.
@@ouiamemarouah2089 yes, you're right, idk what i was seeing
@@CyCloNeReactorCore It happens 🤷🏻♀️
este video es pura confusion no sirve el maestro
nada que ver, si es así para ti, a lo mejor te falta comprensión
el no ensena si no que ayuda con practica extra. yo solo me pongo a ver sus videos cuando ya tengo idea sobre los conceptos en el video
I disagree i thought it was very helpful
For the 4th example, why do you not do it in terms of x? I was watching Organic Chem Tutor and he said that when it comes to rotating against the x-axis, your terms should always be in terms of x? But I've noticed it is not done here, and Khan academy doesn't do it either.
Can someone please clarify?