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Multiple Integrals 13: Evaluation of Polar Double Integrals

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Uploaded by on Feb 26, 2008

Still sticking in the polar coordinates systems, this lessons focuses on evaluating the double integral.

For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com

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  • An easier way of considering the geometry of "r.dr.d(theta)" is as follows.

    By definition, arc length = r.(theta) .

    Hence, d(arc) = r.d(theta) .

    The area of the small rectangle equals to the arc length times the small change in r. In the limit, this becomes accurate.

    Hence, dA = r.d(theta).dr .

  • thanks a lot donny you're a life saver!

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  • @NMLP1 Well, I didn't watch it, I saw the introduction and moved on.

    

  • @jiramate99 then why u watching video

  • 2x speed!!!!!!!!!!!!!!

  • captions are hilarious

  • @NMLP1 Well, seriously. This is pretty easy stuff. Its almost hilarious.

  • @jiramate99 dont be a noob.

  • def helped me out. thanks man.

  • it'll be great if your accent can improve!

  • I think there is a theorem of advanced calculus about the Jacobian in coordinants transforms.

    Double integral of f(x,ydx.dy)in R=

    Double integral of f(g(u,v),h(u,v)*Jacobian[(x,y)­/(u,v)]du.dv in G

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