Calc 3 15.3 Notes: Double Integrals in Polar Coordinates

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Objectives:
4. Express a double integral as an iterated integral in polar coordinates.
5. Find area and volume using an iterated integral in polar coordinates.

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I have watched all your videos since vectors and geometry of space! this is such an excellent resource!

jif
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Hello there! I hope this message finds you in good health and spirits. I would be incredibly grateful if you could kindly upload exercise 15.4. As our end-semester exams are just around the corner, your timely assistance would greatly benefit us. Your willingness to help would be an absolute lifesaver and would not go unnoticed. Thank you so much!

shaswatsubudhi
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HI! these videos are saving my life. this might be a really dumb question but ive been staring at the integration for example 1 and I cannot figure it out. In the final integration step how did you get sin^2 from 2sincos. Ive tried googling and photomathing and using every integration technique I know and I cannot figure it out. thank you!

kyliebute
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Hi thank u for ur videos. For example 2 I was a little confused on how you chose to use 1-r^2 as the equation to integrate. Can u pls clarify how you got that? Thank you.

ZenaiGonzalez