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 showi the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 4 | (9x5 – 4x³) dx= 5888 Complete the table below. (Type integers or decimals. Round to two decimal places as needed.) Absolute Error in Absolute Error in n T(n) S(n) T(n) S(n) 4

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.