Mathematics

Mathematics

Problem

A region is bounded by y=x2y=x^{2} and y=4y=4. The region is revolved about the vertical line x=5x=5. Decide whether integrating with respect to xx or with respect to yy avoids the need to invert y=x2y=x^{2} when setting up the volume integral. Provide your answer as either “dxdx” or “dydy”.

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