Numerical volume integration over spherical coordinates

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I am trying to implement SOAP descriptor. For which I need to solve the projection integral of the form:

$$ c = \int \int \int_\mathcal{V} g(r) Y(\phi, \theta)e ^{k |\mathbf{r - R}|^2}sin(\theta) r^2 d\theta d\phi dr $$

Where $k$ and $\mathbf{R}$ are some constants.

Are there any 3D equivalent of Lebedev quadrature for fast numerical integration over volume on spherical coordinates?