volumes of revolution fm | Revision Server | Page 1

tired fiber Dec 28, 2023, 12:05 PM

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then youy would need to double it surely?

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-root 2 and + root2 limits make sense for the first one

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but if you did 0 and root 2 it would just be half because you have symmetric curves

tired fiber Dec 28, 2023, 12:21 PM

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oh nvm

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rotated around y axis and x axis

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thats the diff

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and why ur bounds are as such

warm hazel Dec 28, 2023, 2:43 PM

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$\text{if you rotate about the x axis then you are doing} \int_{a}^{b} y^2 dx \text{ but if you rotate about the y axis you are doing } \int_{c}^{d} x^2 dx$

tepid elkBOT Dec 28, 2023, 2:44 PM

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david

tired fiber Dec 28, 2023, 2:52 PM

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Y axis your limits are y points x axis your limits are x points

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Nah

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You won’t

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Because it rotates around y

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Well it depends

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But yeh for the two qs u said

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Yh

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This case we can x2 from 0 to root 2 as it’s symmetric

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If it wasn’t we would have to go from -root 2 to root 2

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It’s just understanding the concept

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Not rigid like that

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Yes

#volumes of revolution fm