computing flux integral just given this question. compute the flux out of the unit circle, C. $$F(x,y)=\langle x+2y,3x+4y\rangle $$
i am not sure on how to solve this. Usually the flux would include Z function. please help!

Or using the great Gauss (divergence) theorem:
$$\nabla f=1+4=5\implies \iint_C\vec F\cdot\vec n\,d\vec s=\iint_R\nabla fdA=5\iint_RdA=5\cdot\pi\cdot1^2=5\pi$$
