Let $x,y\in \mathbb{R}^2$, $B_r(0)=\{x||x|\leq r\}$. So does the following calculus(denoted as $f(r)$) have exact expression?
$$f(r)=\int_{B_r(0)}\int_{B_r(0)}\ln|x-y|dxdy.$$
Is this calculus has exact value?
W.J.
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