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E 97, 051301(R) (2018)] have proposed a method to approximate an improper integral $\\int_0^\\infty \\text{d}r\\, F(r)$, where $F(r)$ is a given oscillatory function, by a finite-range integral $\\int_0^L \\text{d}r\\, F(r) W(r/L)$ with an appropriate weight function $W(x)$. The method is extended here to an arbitrary (embedding) dimensionality $d$. 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