Using Simpson’s Rule Approximate the following integrals

Chapter 5, Problem 44E

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QUESTION:

Using Simpson's Rule  Approximate the following integrals using Simpson's Rule. Experiment with values of n to ensure that the error is less than \(10^{-3}\).

\(\int_{0}^{2 \pi} \frac{d x}{(5+3 \sin x)^{2}}=\frac{5 \pi}{32}\)

Questions & Answers

QUESTION:

Using Simpson's Rule  Approximate the following integrals using Simpson's Rule. Experiment with values of n to ensure that the error is less than \(10^{-3}\).

\(\int_{0}^{2 \pi} \frac{d x}{(5+3 \sin x)^{2}}=\frac{5 \pi}{32}\)

ANSWER:

Problem 44E

Using Simpson’s Rule

Approximate the following integrals using Simpson’s Rule Experiment with values of n to ensure that the error is less than .

Solution:
Step 1

The error for the approximation for Simpson’s Rule is

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