Magnetic Flux from Moving Point Charge

The first page of this reference gives a nice formula for the magnetic flux density $\vec{B}$ due to a moving charged particle.

A particle with charge $q = 10$ is at position $(x,y,z) = (-1,0,1)$ with velocity $(v_x,v_y,v_z) = (1,2,3)$ .

What is the magnitude (absolute value) of the magnetic flux through the following disk?

$x^2 + y^2 <= 1 \\ z = 0$

Note: Magnetic permeability $\mu_0 = 1$