Evaluate following integrals using simpsons rule and


Evaluate following integrals using simpson's rule and corrected simpson's rule (or richardson extrapolation in case the corrected simpson's is not applicable). In each case, use n = 2,4,8,16,32. Tabulate results, along with error. Use the ratios of successive errors to find p such that error is proportional to n^(-p).

a) integral 0 to 1 of (4/1+x^2) dx
b) integral 0 to 1 of (x^(1/2)) dx

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Basic Computer Science: Evaluate following integrals using simpsons rule and
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