Question

Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
F=(y^2+z^2)i+(x^2+z^2)j+(x^2+y^2)k
C: The boundary of the triangle cut from the plane x+y+z=1 by the first octant, counterclockwise when viewed from above

Answer 1

attachment coming

Answer 2

Are you going from line integral to surface integral or what?

Answer 3

surface integral with stokes' theorem

Answer 4

which involves parametrization.

Answer 5

So then F in this case is the curl of a function?

Answer 6

I mean the curl of a vector field?

Answer 7

curl of a vector field

Answer 8

yup..

Answer 9

Did you calculation work?

Answer 10

I'm actually in a loop......the attempt I did is in the attachment. but I think I'm going in a circle or hmm...