$\"\"$

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(a)

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Show that $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Apply formula : $\"\"$ .

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$\"\"$

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$\"\"$

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Thus, $\"\"$ .

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$\"\"$

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(b)

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The integral is $\"\"$ and $\"\"$ .

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Simpson $\"\"$ s rule :

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Let $\"\"$ be continuous on $\"\"$ and let $\"\"$ be an even integer,

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The Simpson $\"\"$ s Rule for approximating $\"\"$ is given by $\"\"$ ,

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

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$\"\"$

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$\"\"$

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$\"\"$

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Using Simpson Rule, $\"\"$ . $\"\"$

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(c)

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The integral is $\"\"$ .

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Draw a coordinate plane.

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Graph the function $\"\"$ .

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Graph :

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$\"\"$

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Graphically $\"\"$ .

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$\"\"$

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(a)

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$\"\"$ .

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(b)

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$\"\"$ .

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(c)

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$\"\"$ .