Find an upper bound for the error, Em, of the Simpson's rule approx- 4 of the given integral. Your answer should be a simplified imation with n = fraction or a decimal rounded to four places. 3 I = x-1 dx Find the least value of n that guarantees that the error of the Simpson's Rule approximation of the integral below is less than .001. Your answer should be a suitable, positive integer. I = x-1 dx

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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.