Surface Integrals – On a plane – Exercise 4109

Exercise

Calculate the integral

$\int\int_S Pdydz + Qdxdz +Rdxdy$

Where

$P=y-x, Q=x+y, R=y$

And the surface S is the outer side of the plane

$x+y+z=1, x\geq 0, y\geq 0, z\geq 0$

Final Answer

$\int\int_S \vec{F}\hat{n}ds=\frac{1}{2}$

Solution

Coming soon…

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