Volume of rotation: cylindrical shells about the x-axis or y= (KristaKingMath)

Learn how to use the cylindrical shells method to find the volume obtained by rotating the region bounded by given curves around a given axis. In this particular problem, we'll rotate about the line defined as y=a.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[salmaalyahya]

Your majesty, Krista King, your videos are helping millions of people. What a queen

[eloofant]

thank you so much im struggling in my calc 2 class and i really want to thank you for your videos!!

[katnoah]

Been looking for an easy way to organize ideas and the chart you made helped A TON. Thanks for saving me some time searching for answers!

[andregirardifarhat]

I'm from Brazil and I'm learning it at the college. Congratulations, your video is completely clear and your voice is so sweet! Very useful!

[Yaowza]

You deserve a medal for your hard work! You're so consistent with videos and topics, and it's a ton of help to college students like myself. Thank you so very much!

[Andy-jwtf]

Glad to see this broken down and explained very thoroughly, thank you so much!

[charlesrivers]

Ms. King, I'm a navy guy who started knocking out classes a year ago when he got on shore duty and am just a couple classes away from their BS degree... and just started taking Calculus 2 after having passed 1 several years ago underway with little more than a TI-89 and a textbook. The online course I'm taking now isn't much better, with everything being pretty much self-taught. After hours over the last week, after the course started, reading the text book and watching random videos... I happened upon yours and got my first few lightbulbs. It's very appreciated. I couldn't even work the study problems that had the answers but you explaining your way through an example problem was what I needed. Best wishes to you.

[TechVenturer]

you are great. everything i learnt in class only confuses me. but ur tutorials are really helpful. great work !

[kristakingmath]

Glad you like them! I'll definitely continue with the videos. :D

[RSPSify]

Just saved me a few hours, I'll be watching your videos on the rest of calculus if you have them, love the notes 

[solariaeuropa]

I have been struggling with these alot, Thank you Krista!

[kristakingmath]

Receiving comments like yours makes it all worth it! :)

[PeoplezDecide]

So much better than my teacher, please continue with videos!

[EricNunezthehomeloanguru]

Seriously, you make things so easy. Thank you so

[joscelynmarquez]

I think I love you. Thank you so much! You explained it way better than my professor did.

[kristakingmath]

I've got some calc III done already, and looking to make more. :)

[profearthurito]

CONGRATULATIONS SISTER TEACHER KRISTA KING!! THANKS SO MUCH FOR SHARING YOUR MATH KNOWLEDGE. BLESSINGS AND GREETINGS FROM SAN JUAN DE LURIGANCHO, LIMA, PERÚ!!

[hg.]

"Getting there" on these cylinder problems. Good illustrations fir visualising what's going on.

[Voicon]

i love the video, omg. I wish I watched it the beginning of the semester

[widuraelkaduwa]

1. It might mention in the question
2. Try to draw a washer, if u can't, it means it goes with cylindrical shell method