Double Integral through a Change of Coordinates (the Jacobian)

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This is amazing, the best explanation of

steveying
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Thankyou, so much for such a good explanation
i was not able to understand this integration technique through any video on you tube except your video.You made this concept crystal clear for me.

tanishkumar
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Love from India🤝 respect to you sir folding this in such less time with ease

lyzongaming
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keep going on upload the videos lots lo love from INDIA thank u sir for such a nice explanation

mr_mouli_
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Why do we need to integrate using the jacobian coordinates? It seems more complex than cylindrical coordinates!

HashemAljifri
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If the determinant was negative, should I make it positive when evaluating double integral?, cuz i have a homework that contains two answers with the same boundaries but the determinant is negative

HashemAljifri
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Great video! Clear speaking and nice handwriting, thank you!

truman
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Isn't the primitive of 0 a constant ?

CrumbleRumble-kwzf
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thank u so much for this video. it was very helpful! :)
btw anyone noticed that small hair on the paper?! lol

aidamahmoudi
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Lol, there "u" are. Classic. Too bad you weren't using "r" as one of the variables.

focf
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Shouldn't the Jacobian be the transpose of what you wrote. Doesn't make a difference when calculating det though. Maybe I'm mistaken

Artaxerxes.
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The determinant would be -1/2. You forgot you write the negative sign. But thank you for your great explanation

thenoobchess
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So the area of the parallelogram is equal to 0? 😮

MrJohanh
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I toughed the hair was on my screen hahaha

badrmoubile