$\"\"$

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The equations are $\"\"$ and $\"\"$ .

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Consider $\"\"$ .

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Area of the region:

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If $\"\"$ is continuous and non-negative on the closed interval $\"\"$ , then the area of the region bounded by the graph $\"\"$ , the $\"\"$ -axis and the vertical lines $\"\"$ and $\"\"$ is given by area $\"\"$ .

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The area of the region is $\"\"$ .

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The number of subintervals are $\"\"$ .

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Width $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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Find the function values:

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

\

$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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Simpsons rule :

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$\"\"$ . $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The area of the region using Simpsons rule is $\"\"$ square units.

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$\"\"$

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The area of the region using Simpsons rule is $\"\"$ square units.