I'm looking to numerically solve a definite integral involving the modified Bessel function of the second kind, $$\int_{0}^{r}K_0 (r)G(r)r\,dr.$$ The problem is that $K_0$ has a singularity at $r=0$. I saw someplace that it's possible to change the boundary of this integral, but I don't understand why it works: $$\int_{0}^{r}K_0 (r)G(r)r\,dr=-\int_{r}^{\infty} K_0 (r)G(r)r\,dr.$$
2026-03-29 12:31:46.1774787506
Calculating an integral modified Bessel function with singularity
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