For Problems 5.1705.175 integrate the given function over the indicated region. It states that the surface integral of the normal component of a vector function \(\vec F\) taken over a closed surface ‘S’ is equal to the volume integral of the divergence of that vector function \(\vec F\) taken over a volume enclosed by the closed surface ‘S’. You just have to rewrite f(x, y, z) in terms of and, and integrate. the limits of integration for the double integral over R. Since the function f is also simplest in cylindrical coordinates.
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