Approximate the following integral using Simpson's Rule. Experiment with values of n to ensure that the error is less than 10-. T 0 sin (6x) cos (3x) dx = n = 32 4 -3 What is the smallest value of n from 8, 16, 32, and 64 that gives an error less than 10 What is the Simpson's Rule approximation for this value of n? (Round to six decimal places as needed.) using Simpson's Rule?

0sin(6x)cos(3x)dx=94 What is the smallest value of n from 8,16,32, and 64 that gives an error less than 103 using Simpson's Ruie? n=32 What is the Simpson's Rule approximation for this value of n ? (Round to six decimal places as needed.)