Calculus 2: Area of a Surface of Revolution (Video #9) | Math with Professor V

Finding the area of a surface of revolution that results from rotating a curve about either the x or y axis. Information explanation of where the formula comes from and how to easily remember it. Examples evaluating integrals in order to compute the surface area. #surfaceofrevolution #surfacearea #integrals #integralcalculus #calculus2 #mathtvwithprofessorv #math #mathvideos #youtubemath #calculus2videos #integral #surfaces #usubstitution #integration #calculus #calculusvideos #calculushelp #mathtutor #mathprofessor #precalculus #algebra
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[@xavi8780]

I read the book multiple times, I watched 3 different videos and no where could I find a clear explanation to finding the radius when revolving about either axis. You made this extremely clear and I feel lucky to have found this video. Thank you

[@mathwithprofessorv]

I so appreciate your comment and even more, am very happy to be able to help you as you study mathematics! Wishing you lots of success. ☺️

[@ghostfrom1950]

finally! someone that can break this down in a way I understand! I been searching!

[@mathwithprofessorv]

Oh I am so happy to hear that!!! 🙌🏻🙌🏻

[@originalmackdaddy5342]

You really know how to make calc 2 enjoyable. Breaking it down and everything simplifying gives me piece of mind!

[@mathwithprofessorv]

Thank you! I appreciate that so much!

[@sarahdemonia5591]

Thank you!! I'm trying to review Calc II before I take Calc III next semester and 4:15 really helped me remember why the variables are always opposite for this formula. Thank you, you're a great teacher!

[@mathwithprofessorv]

Oh great!!! Happy to help you review! I also have a full playlist of lectures for Calc 3 on my channel.

[@funwatchtv763]

hi I was looking through your playlist and I was wondering if you have a lesson on "Volumes by Slicing-Solids of Revolution" I am not sure if it's named something else but this video seems similar to it.

[@mathwithprofessorv]

Yes! Right here: Calculus: Volumes using Disks & Washers (Section 6.2) kzbin.info/www/bejne/bHPMonaKpshpbbM

[@wintermelon8268]

Thank you. Just to ask, 20 minutes into the video, how did you know to pick your limits of integration as y = 6, rather than -6 included? Maybe I am forgetting something.

[@sl43501]

thank you again! you are the best

[@mathwithprofessorv]

My pleasure! Thank you for your comment ☺️☺️💕

[@joshmolina2612]

God sent

[@mathwithprofessorv]

You are too kind! 😇😇🙏🏻🙌🏻

[@nikkieasley6204]

This is so beyond helpful thank you so much

[@mathwithprofessorv]

You are so welcome! Thank you for your comment, it made my day! 🥰🥰