Write a simple Python program using the trapezoidal rule to evaluate for x cos(x) dx using...

 

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Write a simple Python program using the trapezoidal rule to evaluate for x cos(x) dx using a fixed number, n, of intervals. Test this for n = 2048, n = 4096, and 8192 and compare the results. If you wished to increase the accuracy, you could double the number of intervals and recalculate the result. You could then compare the first result to the second to get an estimate of the relative error. Write a simple Python program using the trapezoidal rule to evaluate for x cos(x) dx using a fixed number, n, of intervals. Test this for n = 2048, n = 4096, and 8192 and compare the results. If you wished to increase the accuracy, you could double the number of intervals and recalculate the result. You could then compare the first result to the second to get an estimate of the relative error.