## Integral $\int_{d_1}^{d_2} \int_{-L/2}^{L/2} \int_{-L/2}^{L/2} \frac{1}{(x^2+y^2+z^2)^3} dx dy dz$

I’m trying to integrate the following integral in the Mathematica, but it seems it doesn’t return an analytical closed form, neither numbers when I give values for both $$d_{1,2}$$ and $$L$$.

$$\int_{d_1}^{d_2} \int_{-L/2}^{L/2} \int_{-L/2}^{L/2} \frac{1}{(x^2+y^2+z^2)^3} dx dy dz$$

Is there any trick that might be useful for this case?