To apply Simpson's 1/3 rule, valid number of intervals are?

zaasmi

7
8
5
3

Page 177
The Simpson’s 1/3 rule, we have used two sub-intervals of equal width. In order to get a composite formula, we shall divide the interval of integration [a,
b] Into an even number

zaasmi

@zaasmi said in To apply Simpson's 1/3 rule, valid number of intervals are?:

7
8
5
3

Page 177
The Simpson’s 1/3 rule, we have used two sub-intervals of equal width. In order to get a composite formula, we shall divide the interval of integration [a,
b] Into an even number

The correct choice for applying Simpson’s 1/3 rule is 7 because it represents an odd number of points, which results in 6 intervals, and the number of intervals must be even for the rule to apply.

So, in general:

•	7 points → 6 intervals (valid for Simpson’s 1/3 rule),
•	8 points → 7 intervals (invalid),
•	5 points → 4 intervals (valid),
•	3 points → 2 intervals (valid).

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MTH603 Assignment 1 Solution and Discussion

To apply Simpson's 1/3 rule, valid number of intervals are?

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