Question: Exercise 18.a. Use the Monte Carlo method with n=100 and n=1000 to estimate 01cos(2x)dx. Compare the estimates to the exact answer.b. Use the Monte Carlo

Exercise 18.a. Use the Monte Carlo method with n=100 and n=1000 to estimate 01cos(2x)dx. Compare the estimates to the exact answer.b. Use the Monte Carlo to evaluate 01cos(2x2)dx. Can you find the exact answer?c. Use the central limit theorem to find such that P(|I(f)-I(f)|)=-05, where I(f) is the Monte Carlo estimate of 01cos(2x)dx based on 1000 points.

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