Calculate circulation of vector field a=(-x;z;y) thru 1/8 ( x=0,y=0,z=0) of sphere (x^2+y^2+z^2=4) internal side.Please HELP! Problem is that my result for all integrals is 0, i think its not correct. Calculate circulation of vector field a=(-x;z;y) thru 1/8 ( x=0,y=0,z=0) of sphere (x^2+y^2+z^2=4) internal side.Please HELP! Problem is that my result for all integrals is 0, i think its not correct. @Mathematics

Question

Calculate circulation of vector field a=(-x;z;y) thru 1/8 ( x>=0,y>=0,z>=0) of sphere (x^2+y^2+z^2=4) internal side.Please HELP! Problem is that my result for all integrals is 0, i think its not correct.  Calculate circulation of vector field a=(-x;z;y) thru 1/8 ( x>=0,y>=0,z>=0) of sphere (x^2+y^2+z^2=4) internal side.Please HELP! Problem is that my result for all integrals is 0, i think its not correct. @Mathematics