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Surface Integrals – On a hemisphere – Exercise 4089

Exercise

Calculate the integral

\int\int_S Pdydz + Qdxdz +Rdxdy

Where

P=x, Q=y, R=z

And the surface S is the outer side of the hemisphere

x^2+y^2+z^2=16, z\geq 0

Final Answer

\int\int_S \vec{F}\hat{n}ds=128\pi

Solution

Coming soon…

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