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Multiple Integration in Cartesian Coordinates

Please see the attached file for the full problem description.

1. Transform the given integral in Cartesian coordinates to one in polar coordinates and evaluate the polar integral. : refer to integral 5.

2. Determine the values of the given integrals, where W is the region bounded by the two spheres x^2 + y^2 + z^2 = a^2 and x^2 + y^2 + z^2 = b^2, for 0< a <b.
: refer to integral 6.


Solution Summary

This shows how to transform an integral from Cartesian to polar coordinates and determine the values of integrals in a region bounded by two spheres.