Question: Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that the error is less than 10 4 cos x dx

Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that the error is less than 10 4 cos x dx = I 5/3 - cos X What is the smallest value of n from 4, 8, 16, and 32 that gives an error less than 10 using Simpson's rule? n= 16 What is the Simpson's rule estimate for this value of n? (Round to six decimal places as needed.)

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