$\"\"$

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The functions are $\"\"$ and $\"\"$ is revolved above the $\"\"$ axis.

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Graph :

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(1) Draw the coordinate plane.

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(2) Graph the functions $\"\"$ and $\"\"$ on the same graph.

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$\"\"$

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$\"\"$

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The volume of the solid is $\"\"$ .

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$\"\"$

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From the graph $\"\"$ and $\"\"$

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$\"\"$

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Consider $\"\"$ .

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Simphson $\"\"$ s rule :

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Let $\"image\"$ be continuous on $\"image\"$ and let $\"\"$ be an even integer, the Simpsons Rule for approximating $\"image\"$ is given by

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$\"\"$

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\

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where $\"\"$ and $\"\"$

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Where $\"image\"$ is $\"\"$ and $\"\"$ .

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Substiute the values :

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The volume is $\"\"$ .