Another Simpson’s Rule formula Another Simpson’s Rule

Chapter 5, Problem 61AE

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QUESTION:

Another Simpson's  Rule formula Another Simpson's Rule formula is \(S(2 n)=\frac{2 M(n)+T(n)}{3}\) for \(n \geq 1\). Use this rule to estimate \(\int_{1}^{e} 1 / x d x\) using n=10 subintervals.

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QUESTION:

Another Simpson's  Rule formula Another Simpson's Rule formula is \(S(2 n)=\frac{2 M(n)+T(n)}{3}\) for \(n \geq 1\). Use this rule to estimate \(\int_{1}^{e} 1 / x d x\) using n=10 subintervals.

ANSWER:

Step 1 of 3

To use this Simpson’s Rule formula, we first find the M(n) and T(n).

 

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