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Compute the approximate value of the integral from part (a) using the quadrature rule from part (b)i).
What is the error resulting from the approximation of the integral from part (a) using, respectively, SR, CMR, and the quadrature rule from part (b)i)? Whic numerical quadrature formula is the most efficient? Justify your answer.
(c) Construct another numerical integration rule to approximate the integral ? from part
(b) based on integrating the interpolant polynomial of degree ≤ 2 with respect to . Which numerical integration rule does this process yield?