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(Solved): 1. Midpoint Rule abf(x)dxx[f(x1)+f(x2)+f(x3)++f(xn)] where x=nb ...




1. Midpoint Rule
\[
\int_{a}^{b} f(x) d x \approx \Delta x\left[f\left(\bar{x}_{1}\right)+f\left(\bar{x}_{2}\right)+f\left(\b
1. Midpoint Rule where and midpoint of . Remark that and . a) Write a code that uses the Midpoint Rule with to evaluate the integral . b) Compare your solution with the exact solution of and compute the error. c) Compute the error if .


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a) Here's a Python code that uses the Midpoint Rule with n = 10 to evaluate the integral of f(x) = x from 1 to 2:def midpoint_rule(f
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