Viviani's curve volume | Mathematics | Page 1

humble comet Jul 17, 2023, 12:08 PM

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Hello, hope you're doing well, i would like to know how we chose the limits of the integrals that i put a circle around, thank you

main socketBOT Jul 17, 2023, 12:09 PM

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humble crest Jul 17, 2023, 2:11 PM

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I don't think you can split this into three separate integrals. Two of them need to stay nested

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Can you write a polar equation for the circle in the xy plane that you drew at the top?

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Oh, you even have theta in one of your bounds, but theta isn't allowed to exist outside of the integral that defines theta

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Oh, and the r in the bounds of the last integral need to be inside of the integral that defines r

#Viviani's curve volume