Spherical and Cylindrical Coordinates – On a sphere – Exercise 4613

Exercise

Calculate the integral

Tx2dxdydz\int\int\int_T x^2 dxdydz

Where T is bounded by the surfaces

x2+y2+z2=9x^2+y^2+z^2=9

Final Answer


Tx2dxdydz=3245π\int\int\int_T x^2 dxdydz=\frac{324}{5}\pi

Solution

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