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(Monte Carlo integration). Given the integral 0201/2xy2dydx (a) Write a well-documented MATLAB script where you use the Monte Carlo simulations to estimate the integral (b.

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(Monte Carlo integration). Given the integral 0201/2xy2dydx (a) Write a well-documented MATLAB script where you use the Monte Carlo simulations to estimate the integral (b. Write a well-documented MATLAB script where you apply the antithetic variates method. Run both MATLAB codes with the number of simulations, N= 100,500,2000,3000, compare the results and make your observations

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