Concept explainers
Integrate the following function both analytically and numerically. For the numerical evaluations use
(a) a single application of the trapezoidal rule,
(b) Simpson's 1/3 rule,
(c) Simpson's 3/8 rule,
(d) Boole's rule,
(e) The midpoint method,
(f) The 3-segment–2-pointopen
(g) The 4-segment–3-point open integration formula. Compute percent relativeerrors for the numerical results.
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