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?