Question
1. Implement the multiple segment (composite) version of the trapezoidal and Simpson's 1/3 rules for a line integral with limits from a to b
1. Implement the multiple segment (composite) version of the trapezoidal and Simpson's 1/3 rules for a line integral with limits from a to b as a MATLAB function. Inputs should be integration limits (a,b), number of segments (n) (check for evenness of n for simpson's 1/3 rule), and a function name (f). Test this implementation for both methods by computing the following line integral by using n = 10, 100, and 1000: 0.1 (1.2 x)(1 e(x-))dx Also use the MATLAB's integral function to evaluate the same integral. Evaluate the percent error in each case based on the true solution of 0.602297. Note that you can use the MATLAB help utility for assistance regarding usage of these functions and other functions.
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