Let S be the part of the plane 3x+y+z=4 which lies in the first octant, oriented upward. Find the flux of the vector field F=4(adsbygoogle = window.adsbygoogle || []).push({}); i+2j+3kacross the surface S.

[tex]\int \int F\cdot dS = \int int \left( -P \frac{\partial g}{\partial x} -Q \frac{\partial g}{\partial y} +R \right) dA[/tex]

[tex]\int \int \left( -4(-3)-2(-1)+4-3x-y \right) dA[/tex]

[tex]\int \int \left( 18-3x-y \right) dA[/tex]

how do I find the ends of integration?

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# Flux of the vector field

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