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While evaluating \(\int_{a}^{b} f(x) \, dx\) using Trapezoidal rule and Simpson's one-third rule, \([a,b]\) is divided into n number of subintervals so that both the methods can be applied for the same division, then a possible value of n is

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Simpson's 1/3 rule \(\rightarrow\) \(n\) must be a multiple of 2 (even).
Simpson's 3/8 rule \(\rightarrow\) \(n\) must be a multiple of 3.
Trapezoidal rule \(\rightarrow\) \(n\) can be any positive integer.

Updated On: Jun 23, 2026

\(5\)
\(12\)
\(7\)
Any non-prime number

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The Correct Option is B

Solution and Explanation

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While evaluating \(\int_{a}^{b} f(x) \, dx\) using Trapezoidal rule and Simpson's one-third rule, \([a,b]\) is divided into n number of subintervals so that both the methods can be applied for the same division, then a possible value of n is

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The Correct Option is B

Solution and Explanation

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