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Homework Help: Converting into polar integrals from rectangular

  1. Apr 13, 2005 #1
    Here is the problem:

    Convert [tex]\int_{-1}^{1}\int_{-\sqrt{1 - y^2}}^{\sqrt{1 - y^2}}\;\ln\left(x^2\;+\;y^2\;+\;1\right)\;dx\;dy[/tex] into polar coordinates.

    Here is what I have:

    [tex]\int_{0}^{2\pi}\int_{0}^{1}\;r\;\ln\left(r^2\;+\;1\right)\;dr\;d\theta[/tex]

    Is that the correct conversion? I could list all of the steps that I did to get to that answer, but that would take forever! Can someone check please?
     
  2. jcsd
  3. Apr 13, 2005 #2
    That's correct.
     
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