Surface Integral of Vector fields

[dancingmonkey]

Homework Statement

Use Stokes' Theorem to evaluate ∫C F · dr. C is oriented counterclockwise as viewed from above.

F(x, y, z) = (x + y^2) i + (y + z^2) j + (z + x^2) k

C is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9).

Homework Equations

Stokes' Theorem

The Attempt at a Solution

I really need help with this, can someone explain it to me?

 

[HallsofIvy]

Do you know what Stoke's theorem says?

If you honestly are not able to make any attempt at all then you need more help than we can give. I recommend you talk to your teacher about this. Quite frankly, if you know what Stoke's theorem says, this is very easy problem.