# Solve the curve distance using Simpson's rule

The distances x (in in.) from one end of a barrel plug (with vertical cross section) to its center of mass, as shown in the figure is

x=0.9129 integrate x*square root of (0.3-0.1x) (0<=x<=3)

Find x with n=12

https://brainmass.com/math/calculus-and-analysis/solve-curve-distance-simpsons-rule-456354

#### Solution Summary

In real life, Simpson's rule is very practical and helpful to solve the curve distance. Here I give a real example how to approach this kind of problem with Simpson's rule.

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