12.5 Numerical Tools



12.5.1 Approximation of Integrals and Derivatives from Sampled Data


• This form of integration is done numerically - this means by doing repeated calculations to solve the equation. Numerical techniques are not as elegant as solving differential equations, and will result in small errors. But these techniques make it possible to solve complex problems much faster.


• This method uses forward/backward differences to estimate derivatives or integrals from measured data.



12.5.2 Centroids and Moments of Inertia