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Consider the three composite quadrature rules:
composite midpoint rule composite trapezoidal rule composite Simpson rule
and write a MATLAB function that uses them (on a uniform subdivion in elements of mesh-size h) to approximate
Z 1 0
sin(πx ) dx = 2 π
Then, plot the error versus h, and identiry on a log-log plot the order of convergence of the three rules (include in the same figure the reference plots: h, h2, h3, . . . )
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