- #1

VinnyCee

- 489

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__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.

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__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?