Homework Statement
Let f be a vector function, f = (xz, 0, 0), and C a contour formed by the boundary of the surface S
S : x^2 + y^2 + z^2 = R^2 , x ≥ 0, y ≥ 0, z ≥ 0 , and oriented counterclockwise (as seen from the origin).
Evaluate the integral
(Closed integral sign) f · dr , directly as...