Question: 22.3 Use Romberg integration to evaluate e sin x dx 1 + x2 to an accuracy of the order of h. Your results should be

22.3 Use Romberg integration to evaluate e sin x dx 1 + x2 to an accuracy of the order of h. Your results should be presented in the form of Fis. 22.3. FIGURE 22.3 O(h2) o(h4) O(ho) O(h8) Graphical depiction of the sequence of integral estimates (o| 0.172800 1.367467 generated using Romberg 1.068800 integration. (o) First iteration. (b) Second iteration. (c) Third (61 0. 172800 1.367467 1.640533 iteration. 1.068800 1.623467 1.484800 (c) 0. 172800 1.367467 1.640533 1.640533 1.068800 1.623467 1.640533 1.484800 1.639467 1.600800

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