The final surface integral expression for the total magnetic force ( $F$ ) on a volume $V$ using the Maxwell Stress Tensor components $T^{i j}$ is:
$$ F=\oint_S e_i T^{i j} d S_j $$
The equation states that the Total Magnetic Force ( $F$ ) exerted on all contents within a closed volume ( $V$ ) is equal to the integral of the magnetic stress over the bounding surface ( $S$ ) of that volume.