Vector Calculus

Vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss.0/9 mastered

1 / 9

Use Stokes' theorem to evaluate

\oint_C \mathbf{F}\cdot d\mathbf{r}

where

\mathbf{F} = \langle -y^{2}, x, z^{2}\rangle

and

C

is the curve of intersection of the plane

y + z = 2

with the cylinder

x^{2}+y^{2} = 4

, oriented counterclockwise seen from above.

Your answer

#4699