Does integrand function have its meaning in double integral

Does integrand function have its meaning in double integral

In mathematics, there is no such requirement
In Applied Science, of course, it must have a very specific significance. For example, in electromagnetics,
The density of charge accumulates the total charge, and the flux of electric field intensity also accumulates the total charge
In Applied Science, if the integrand has no specific physical meaning, it is playing the fiddle!