In this video I go over another example on solving volumes using cylindrical shells. In this example I solve for the volume of the solid formed by rotating the region bounded by y = x - x² and y = 0 about the line x = 2.

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Integrals and Volumes by Cylindrical Shells: Example 4

Example:

Find the volume of the solid obtained by rotating the region bounded by y = x – x² and y = 0 about the line x = 2.

Solution: