Consider the region S inside the cylinder x^2+y^2 = 1, outside the sphere x^2+y^2+z^2 = 1, and with z between 0 and 1. A view from above and a cross section (looking along the positive x axis) are shown below.
Set up one or more triple integrals to integrate a function f(x; y; z) over S using spherical coordinates, but DO NOT EVALUATE.
Set up one or more triple integrals to integrate a function f(x; y; z) over S using spherical coordinates, but DO NOT EVALUATE.
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