2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the following function: f(x) = x cos(x), a = 0, b = π/2

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterA: Appendix
SectionA.2: Geometric Constructions
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2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the
following function:
f(x) = x cos(x), a = 0, b = π/2
b) Estimate error using a posteriori error estimation formulas.
c) Compute the analytical value of the integral and compare it with the ones given by numerical methods.
Which rule gives more accurate result?
Transcribed Image Text:2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the following function: f(x) = x cos(x), a = 0, b = π/2 b) Estimate error using a posteriori error estimation formulas. c) Compute the analytical value of the integral and compare it with the ones given by numerical methods. Which rule gives more accurate result?
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