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2. Use Monte Carlo to estimate the integral (312 - 2x - 10)dr. 12 Perform this calculation m = 1000 times each for Monte Carlo

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2. Use Monte Carlo to estimate the integral (312 - 2x - 10)dr. 12 Perform this calculation m = 1000 times each for Monte Carlo sample sizes of n = 1000, n = 10, 000, and n = 100, 000. For each n, plot a histogram of (n)1, ...; (n)m, and calculate the mean squared error of the estimate, m MSE(n) m E(@(n)i - 90)?, i=1 where (n); is the ith MC estimate of 0 for sample size n, and do is the true value of the integral 0

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