Concept explainers
Integrate the following function both analytically and numerically. For the numerical evaluations use
(a) Single application of the trapezoidal rule;
(b) Simpson's 1/3 rule;
(c) Simpson's 3/8 rule;
(d) Multiple application of Simpson's rules, with n = 5;
(e) Boole's rule;
(f) The midpoint method;
(g) The 3-segment–2-point open
(h) The 4-segment–3-point open integration formula.
Compute percent relative errors for the numerical results.
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Chapter 21 Solutions
Numerical Methods for Engineers
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