Integral over a disk in different positions

Hi!

I have computed a magnetic field in a region of space and have defined a disk inside that region.
I would like to compute the energy in the disk, which involves integrating the magnetic field, for different positions and orientations of the disk in the region. For this, I don't want to recalculate the magnetic field before each integral, as it does not change. I would like to compute the magnetic field just once and then create a parametric sweep that changes the position and orientation of the disk and calculates the integrals. Is there a way to do so?

Thanks in advance for your answers.
Alberto.