A direct application for random number generation is in evaluating an integral. This approach is known...

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A direct application for random number generation is in evaluating an integral. This approach is known as Monte Carlo Integration. 1. a) Evaluate the following integrals by the Monte Carlo method 11= e* dx je 12=(1-x dx b) Compute the area under the function given above by integration c) Compare the areas obtained by method a) and b). If there is a discrepancy, explain the results. A direct application for random number generation is in evaluating an integral. This approach is known as Monte Carlo Integration. 1. a) Evaluate the following integrals by the Monte Carlo method 11= e* dx je 12=(1-x dx b) Compute the area under the function given above by integration c) Compare the areas obtained by method a) and b). If there is a discrepancy, explain the results.

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a To evaluate the integrals using the Monte Carlo method we can generate random points within the integration range and use them to estimate the integ... View the full answer