Changing the Order of Integration in

Chapter 15, Problem 11E

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Problem 11E

Changing the Order of Integration in Cylindrical Coordinates

Let D be the region bounded below by the plane z = 0, above by the sphere x2 + y2 + z2 = 4, and on the sides by the cylinder x2 + y2 = 1. Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration.

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