3 4 2 0 y x x x revolved about the x axis 2 2 3 2 2 3 4 2 2 2 1 2 4 1 3 4 2 4 9

3 4 2 0 y x x x revolved about the x axis 2 2 3 2 2 3

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3 4 , 2 0, y x x x revolved about the x -axis 2 0 2 3 2 2 0 3 4 2 2 2 ( ) 1 '( ) 2 ( 4 ) 1 3 4 2 ( 4 ) 9 24 17 67.066 b a S f x f x dx S x x x dx S x x x x dx 36. Set up the integral for the surface area of the surface of revolution, and approximate the integral with a numerical method. ,1 2, y x x revolved about the x -axis 2 2 2 1 2 1 2 ( ) 1 '( ) 1 2 1 2 1 2 1 4 8.28 b a S f x f x dx S x dx x S x dx x S WA 1, p. 17
WA 1, p. 18

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