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The region bounded by - x 2 + 5 x + 1 4 , x = 0 , and y = 0 is rotated about

The region bounded by

- x^{2} + 5 x + 14, x = 0,

and

y = 0

is rotated about the

y -

axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.

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