Electric charges are distributed on the surface
S : x2 + y2 + z2 = 1, z ≥ 0. The area density of this charge distribution is
ρ(x,y,z)=x2 −y/2.
Find the total charge Q on the surface S, which is given by the scalar surface integral

Q =
Here, x,y,z are measured in meters, and ρ is in coulombs per square meter, and, of
course, Q is measured in coulombs.