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1. Midpoint Rule $?_{a}f(x)dx??x[f(x?_{1})+f(x?_{2})+f(x?_{3})+?+f(x?_{n})]$ where $?x=nb?a?$ and $x?_{i}=21?(x?_{i}?x?_{i?1})=$ midpoint of $[x?_{i?1}?x?_{i}],i=1,2,…,n$. Remark that $a=x_{0}$ and $b=x_{n}$. a) Write a code that uses the Midpoint Rule with $n=10$ to evaluate the integral $?_{1}xdx?$. b) Compare your solution with the exact solution of $?_{1}xdx?=ln(2)$ and compute the error. c) Compute the error if $n=50$.

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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