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Can you solve using R code please. a . Use the Monte Carlo method with n = 1 0 0 and n = 1 0

Can you solve using R code please.

.

Use the Monte Carlo method with

n = 100

and

n = 1000

to estimate

_{0}^{1} c o s (2 x) d x .

Compare the estimates to the exact answer.

.

Use Monte Carlo to evaluate

_{0}^{1} c o s (2 x^{2}) d x .

Can you find the exact answer?

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