Question: Approximate the following integral using Simpson's Rule. Experiment with values of n to ensure that the error is less than 10 2 sin ( 6x

Approximate the following integral using Simpson's Rule. Experiment with values of n to ensure that the error is less than 10 2 sin ( 6x ) cos (3x) dx = 8 9 0 . . . What is the smallest value of n from 8, 16, 32, and 64 that gives an error less than 10 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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