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2 cards from this section. Quick, good the night before a test.
What is the order of accuracy for the Trapezoidal Rule?
Think about how the approximation improves when you increase the number of intervals.
Can the Trapezoidal Rule be used with any number of intervals?
Recall the conditions for the different rules.
What is the order of accuracy for Simpson's 1/3 Rule?
Consider how the order relates to precision in integration.
True or False: The Trapezoidal Rule requires the number of subintervals to be even.
Recall the specific rules associated with each method.
Given a smooth curve y = x³ over the interval [0, 1], derive both the Trapezoidal Rule and Simpson's 1/3 Rule estimates for n = 4.
Make sure to calculate the average of the endpoints for Trapezoidal.
If a function is oscillating and you want better accuracy using Simpson’s 3/8 Rule, what should you consider about your number of intervals?
Look at how you set your data points in practice.
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