Surface Integrals – On a cone – Exercise 4120

Exercise

Calculate the integral

$\int\int_S Pdydz + Qdxdz +Rdxdy$

Where

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

And the surface S is the outside of some of the cone

$z^2=x^2+y^2, 0\leq z\leq 4$

Final Answer

$\int\int_S \vec{F}\hat{n}ds=0$

Solution

Coming soon…

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