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

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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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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

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

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

originalmackdaddy
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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!

sarahdemonia
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thank you again! you are the best <3

sl
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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.

funwatchtv
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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.

wintermelon
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This is so beyond helpful thank you so much

nikkieasley