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Why is the middle point in the Simpsons rule taken 4 times, why

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  3. Why is the middle point in the Simpsons rule taken 4 times, why
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Anonymous
2016-01-19 23:15:14 Post No. 7796497
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Anonymous 2016-01-19 23:15:14 Post No. 7796497 [Report]
Why is the middle point in the Simpsons rule taken 4 times, why not just take it one time and divide by 3 instead of 6? I dont get it
>>
Anonymous 2016-01-19 23:22:24 Post No.7796506
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Anonymous 2016-01-19 23:22:24 Post No.7796506 [Report]
>>7796497
That's just the rule. If you did what you said you would get a less accurate answer. Try a Monte Carlo simulation if you don't believe me.
>>
Anonymous 2016-01-19 23:23:58 Post No.7796509
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Anonymous 2016-01-19 23:23:58 Post No.7796509 [Report]
>>7796497
In fact your suggestion is even worse than the trapezoid rule, for God's sake.
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