double integral with square costh

maxandri

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Joined
Dec 13, 2015
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12
Hello,
I need to find
\(\displaystyle \int \frac{\sqrt{|x|}}{x^2+y^2}\) in a circle with r=1, origin in 0,0.
If I use polar eq. I get \(\displaystyle \sqrt{|cos\vartheta |}\) which I can't solve. Any idea?

And if I have the same integral but defined in a SQUARE (0<x<1 and 0<y<1) I can't use polar eq, so I find arctan y/x?!? Really I have no idea. Thank you.
 
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