A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see table) Use Simpson's rule to estimate the distance the runner covered during those 5 seconds. t (s) 0 0.5 v (ft/s) 0 1.5 2.5 3 3.5 4 4.5 3 5.25 7.7 8.9 9.15 9.25 10.2 10.85 10.95 10.95 Estimated distance:

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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.