$\"\"$

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$\"\"$

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Find the successive derivatives.

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The function $\"\"$ .

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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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Simpson error formula: $\"\"$

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The interval is $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Since the Simpson rule must use an even number intervals, round upwards next even whole number.

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$\"\"$ .

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$\"\"$

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$\"\"$ .