Using h= 1, compare the results from Trapezoidal, Midpoint and Simpson's for the following integral x³ d. Additionally a. Find the error under each method. b. Would you expect to find similar errors approximating integrals of cubic polynomials under Trape- zoidal Rule? Why or why not? c. Would you expect to find similar errors approximating integrals of cubic polynomials under Simp- son's? Why or why not?
Using h= 1, compare the results from Trapezoidal, Midpoint and Simpson's for the following integral x³ d. Additionally a. Find the error under each method. b. Would you expect to find similar errors approximating integrals of cubic polynomials under Trape- zoidal Rule? Why or why not? c. Would you expect to find similar errors approximating integrals of cubic polynomials under Simp- son's? Why or why not?
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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