MATH101 April 2012
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Question 07 (b)
Let . Write down the Simpson's approximation S4 for I.
You do not need to simplify your answer.
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!
The formula for the Simpson's rule is given by
where is an even integer.
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The Simpson's rule approximation for is given by:
In our situation, , , and . Thus we can calculate as:
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