Approximate the following integral using Simpson's Rule. Experiment with values of n to ensure that the error is less than 103 3x/7 S 2 sin (14x) cos (7x) dx = 21 CIT What is the smallest value of n from 8, 16, 32, and 64 that gives an error less than 103 using Simpson's Rule? n = 32 What is the Simpson's Rule approximation for this value of n? (Round to six decimal places as needed.)

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