Area of a Surface of Revolution | Calculus 2 | Easy Set-up Method | Math with Professor V

Two examples finding area for a surface of revolution using integration. Breakdown of how to determine the radius based on whether you are spinning around the x-axis or y-axis, and explanation of how to set up and evaluate your integral (in terms of x or y!).
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• Calculus 2: Area of a ...
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• Calculus 3 Video Lectures
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[@lovingcandie]

THANK YOU FOR THIS VIDEO!!!!!! crying happy tears

[@mathwithprofessorv]

Ohhhhh you’re so welcome!!!!! 🥹🥹🥹🫶🏻🫶🏻🫶🏻💕

[@juniorcyans2988]

I’m so glad that you are updating new videos all the time🎉 I found your channel two semesters ago when I was taking calculus 2. Now I came back here to review❤

[@mathwithprofessorv]

Oh that makes me so happy to hear! I remember you commenting on videos from before, thank you for all your support over the years. 🥰🫶🏻

[@juniorcyans2988]

@@mathwithprofessorv Last semester I took calculus 3 and differential equations at the same time. I got A+ for the latter, but I learned little in the calculus 3 class due to the horrible teaching of the professor😭 Honestly I taught myself and got a B, which dragged my GPA down a bit. Hopefully I’ll make it up by watching my subscribed channels. So it would be great if you could upload some cal 3 examples as well❤️

[@mathwithprofessorv]

I for sure will! 👍🏻👍🏻I’m actually going to record an extra example doing Lagrange multipliers tomorrow, and I’ll keep recording more Calc 3 exercises to supplement in the future. Sorry you didn’t have a great experience in your Calc 3 class, it’s one of my favorites to teach and so beautiful!🥹

[@juniorcyans2988]

@@mathwithprofessorv That’s great! I’m a physics student! We’re going to learn Lagrangian stuff soon or later! Can’t wait!

[@HunterNapier]

This is by far the best explanation on this I've seen, thank you. The only question I had though, is on the second example when you had it in terms of x, what exactly IS our x? Does it just stay an x? Do I have to rearrange the equation so that becomes f(x) instead of f(y)?? I imagine I would because I would need dy/dx, and that would require y = f(x) I think?

[@BilalAhmed-on4kd]

i have a question why do we use ds for this one and not just dx/dy like in volume

[@l20l1]

Thanks a lot professor V, would you add this to the Calc2 playlist

[@mathwithprofessorv]

Yes, definitely!

[@mmd8075]

Present!

[@mathwithprofessorv]

👏🏻🫡