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

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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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Professor V

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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?

HunterNapier

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❤

juniorcyans

hiprof v your video makes calculus much easy

vincentmudimeli

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

BilalAhmed-onkd

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

ll

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