Spherical and Cylindrical Coordinates – On a sphere – Exercise 4606

Exercise

Calculate the integral

\int\int\int_T xyz dxdydz

Where T is bounded by the surfaces

x=0, y=0, z=0, x^2+y^2+z^2=1, x\geq 0, y\geq 0, z\geq 0

Final Answer

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Solution

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