Use Stokes’ Theorem to evaluate integral subscript C space bold F. d bold r where bold F space equals space left parenthesis x cubed over 3 plus 2 z right parenthesis bold i space plus left parenthesis 2 y minus z right parenthesis bold j plus left parenthesis x plus y minus z squared right parenthesis bold k and C is the triangle with vertices left parenthesis 1 comma 0 comma 0 right parenthesis comma space left parenthesis 0 comma 1 comma 0 right parenthesis comma space left parenthesis 0 comma 0 comma 1 right parenthesis oriented counterclockwise when viewed from above. (Hint: the traingle has a plane equation z space equals space 1 minus x minus y)
