Question:
Simpson's \( \frac{1}{3} \) rule is applied when
Simpson's \( \frac{1}{3} \) rule is applied when
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Ensure the number of intervals is even when using Simpson's \( \frac{1}{3} \) rule to ensure the calculation is accurate.
Updated On: Jun 18, 2025
- the number of intervals is divisible by 3
- the number of intervals is divisible by 2
- the number of intervals is divisible by 5
- the number of intervals is divisible by 7
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The Correct Option is B
Solution and Explanation
Simpson's \( \frac{1}{3} \) rule is a numerical method for approximating definite integrals. For the rule to be applicable, the number of intervals must be even. This is because the formula involves pairing values from consecutive intervals, and for this pairing to be possible, the number of intervals must be divisible by 2.
Therefore, the correct condition is that the number of intervals is divisible by 2.
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