I can't compute the integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int \frac{\arccos(\sqrt{x^2+y^2})}{\sqrt{x^2+y^2}}\frac{x-a}/{(\sqrt{(x-1)^2+y^2})^3 dxdy[/tex]

on an unit circle: r < 1.

for const: a = 0.01, 0.02, ect. up to 1 or 2.

I used a polar coordinates, but the values jump dramatically in some places (around the 'a' values), despite the function is quite smooth.

My intention is mainly this solution of a problem:

in this integral sits a singularity at a point (a, 0), and I'm looking for the effective method to eliminate it.

Greetings for everybody.

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# Hard integrals in 2D

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