a. U se the Monte Carlo method with n = 100 and n = 1000

Chapter , Problem 19

(choose chapter or problem)

a. U se the Monte Carlo method with n = 100 and n = 1000 to estimate \(\int_{0}^{1} \cos (2 \pi x) d x\). Compare the estimates to the exact answer.

b. Use Monte Carlo to evaluate \(\int_{0}^{1} \cos \left(2 \pi x^{2}\right) d x\). Can you find the exact answer?

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