$\int_{\mathbb{R}^ n} || \mathbf{x} - \mathbf{y} ||^{-k} d\mathbf{x}$? Here $k>0$.
2026-05-15 13:39:04.1778852344
How to integrate this integral,
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Hint: $$ \int_{\mathbb R^n} f(\|\mathbf x\|)\,\mathrm d\mathbf x = \omega_n\int_0^\infty f(r)\,r^{n-1}\,\mathrm dr $$ Where $\omega_n$ is the surface area of the $(n-1)$-dimensional unit sphere.