(955, #3) Use Stokes Theorem to evaluate

where F = <y z3, sin(xyz), x3 >, and S is the paraboloid y = 1 - x2 - z2 that lies to the right of the xz-plane, oriented toward the xz-plane.



The parametrization of the boundary C is:

x = cos(t)
y = 0
z = sin(t) t = 0..2 Pi.

In addition, on C

F = <0, 0, cos3(t) >

So