Chapter 16.8, Problem 9E

Use Stokes' Theorem to evaluate ${\displaystyle {\int }_{C}F}\cdot dr$ . In each case $C$ is oriented counterclockwise as viewed from above, unless otherwise stated.

9. $F(x,y,z)=xyi+yzj+zxk$ , $C$ is the boundary of the part of the paraboloid $z=1-x^2-y^2$ in the first octant