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11-74.

Multiple Choice: Which integral below calculates the volume of the solid generated when the region bounded by the graphs of and (shown below) is rotated about the -axis?

  1.  

  2.  

  3.  

  4.  

  5. None of these

Increasing concave down curve labeled, f of x, & upward parabola labeled, g of x, vertex at the point (2, comma negative 1), intersecting at the points (1, comma 0), & (4, comma 3).

This is a situation where it works well to use shells. What is the formula for using shells?