1. The problem statement, all variables and given/known data Use the surface integral in Stokes' theorem to calculate the circulation of field F around the curve C in the indicated direction. (3) F = (y)i + (xz)j + (x^2)k. C: Boundary of the triangle cut from the plane x+y+z=1 by the first octant, counterclockwise as seen from above. 2. Relevant equations 3. The attempt at a solution I first calculated curl F which is (-x)i + (-2x)j + (z-1)k. Moreover, r can be parameterized as x(i) + y(j) + (1-x-y)k. The cross product of rx and ry will give i+j+k. The dot product of this and curl F will give -3x+z-1. Since dA = dxdy, I have to change z into x and y so this gives -4x-y. From here, I do not know how to determine the limits. Can someone please tell me how to do so and if possible, provide suitable sites from where I can learn more on this? Thank-you very much for the time and effort!!!!!!!