Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 8 f(3x³. (3x5-2x3) dx = 129,024 Complete the table below. (Type integers or decimals. Round to two decimal places as needed.) T(n) S(n) n 4 Absolute Error in Absolute Error in T(n) S(n)

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