Homework Statement
Let C be the semi-circle on the sphere x^2+y^2+z^2 = 2 from N = (0,0,\sqrt{2}) to S = (0,0, - \sqrt{2}) which passes through the point (1,1,0)
Note that x=y for all (x,y,z) on C. Evaluate the integral :
\int_C z^2dx + 2x^2dy +xydz
Hint : Use as your parameter the angle θ...