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Copy of Triple Integral in Spherical Coordinates

When writing a rectangular triple integral in spherical coordinates, not only do the coordinates need to be mapped to spherical coordinates, but also, the integral needs to be scaled by the proportional change in size.
The surfaces are not curved, but rectangular approximations. Also, the surfaces are traced to show the impact of changing the deltas of each. Select them in the Input screen and deselct trace if you wish.