Areaestimate = f(-2) + 4f(0) + f(2)) %3D S 2x3 + 3x2 – 7x +3 dx (a) Use this formula to estimate the area under your curve between -2 and 2. Compare the Simrson's estimation to the trapezoidal rule and the actual value. Comment on which method proauced a better estimate in your example. (b) Explain and suggest factors that would make one method better than the other. (c) How could you further improve the accuracy of your estimate? 2 /3
Areaestimate = f(-2) + 4f(0) + f(2)) %3D S 2x3 + 3x2 – 7x +3 dx (a) Use this formula to estimate the area under your curve between -2 and 2. Compare the Simrson's estimation to the trapezoidal rule and the actual value. Comment on which method proauced a better estimate in your example. (b) Explain and suggest factors that would make one method better than the other. (c) How could you further improve the accuracy of your estimate? 2 /3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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