Question: 1. Write a Monte Carlo code to estimate the following definite integral. Give the estimate of the standard deviation and calculate the standard error, ?

1. Write a Monte Carlo code to estimate the following definite integral. Give the estimate of the standard deviation and calculate the standard error, ? defined as . Use enough trials to have ? < 1% or so. a) (=2.30258) b) Estimate the number of trials needed to have ? < 0.001% for the integral.

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