Shell method for rotating around vertical line | AP Calculus AB | Khan Academy

Introducing the shell method for rotation around a vertical line. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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[J.B]

4:50 am on Tuesday, May 25, 2021 is when I finally understood Cylindrical shells. Khan Academy, you were the right teacher for me on this.

[pakorg]

I cannot express how thankful I'm to you, your videos are more than amazing, I'm taking  calculus II class with a professor that cannot speak English. So I have to teach myself. These videos have been the tool I'm using along with my book. Thanks a lot! 

[ahmetfarukylmaz]

sir, you are clearly an artist. We also would like to see your artworks.

[ItsBetterEveryDay]

"something... Something... not too dissimilar to this." I love it!

[Starr]

To the point, clear and concise. Thanks!

[Felix]

Thank you! this video made me easier to imagine the logic behind the formula

[iDarren]

I wish my professor explained it like this. Your explanation makes it so much easier to understand.

[mirabelle]

Truly helped me to visualise!!! Thank you!!

[ash]

Nice video thank you! Other videos on youtube did not really explain what is shell method. From your explanation I immediately understood. Thank you

[electrious_]

Him: this is challenging my art skills
also him: *draws graphs that I have so much difficulty drawing*

[FrancisZaccharieDeLeon]

great explanation of the concept for the formula!

[DroughtBee]

Thanks for explaining why we are doing it this way instead of just introducing it.

[Normal]

28/5/2024 I will have my calc final exam, wish me the best guys and Mr Khan I don't really know how to thanks you sir, ❤❤thanks so much u just save me 😊

[cubingnub]

had to watch this twice before finally getting the concept... on the day of my exam

[Juxtaroberto]

What do you mean? Remember, the definite integral is really just the Riemann sum, after you take the limit as n approaches infinity. So, it doesn't really matter where the "midpoint" is. It could even be argued that an infinitely thin rectangle (with thickness dx) has no midpoint. Unless you're referring to something else...

[polomaster]

Thank you so much for these videos Sal...

[rjlaodinio]

TY prof Sal, my professor in integral calculus does not thought this topic...THIS IS A BIG HELP :)

[KillianDefaoite]

thank you for explaining it so much better than my teacher

[emresagr]

All i need is someone who is skilled at art.

[aycc-nbh]

How come I found this to be the easier method? Everyone else in my class hated this, but I used it whenever I could.