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I have seen questions on how to integrate double integrals but I do not know enough maths to be able to understand it. I have come across the need to integrate this function but don't know where to start.

$\int_{-S}^S\int_{-T}^T\frac{1}{(x-s)^2+(y-t)^2}\;dt\,ds$

I mostly want to know what the integral is but would also appreciate some pointers on how to go about doing this myself. I tries WolframAlpha but it kept timing out on me.

Thanks for any help.

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    What is meant by a condition on x or y? In this x, y, S and T are constants. @Mike is it correct to just integrate as you suggested, I have spoken to other people and they give me the impression that this is the wrong thing to do.2011-12-16

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You can try a change of variables in the form: $s - x = rcos(\theta), y - t = rsin(\theta) $, and you'll get the integral of $\frac{1}{r^2}$ in other similar domain.

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    Yes, I think you are right. It would be difficult with a square domain.2011-12-15