Integrator used in signal processing

Integrator is commonly used in Electronics. Electronic Items  have been constructed to perform integration (usually with respect to time) of signals. This operation is a form of first-order low-pass filter, which can be performed in the continuous-time (analog) domain or approximated (simulated) in the discrete-time (digital) domain. An integrator will have a low pass filtering effect but when given an offset it will accumulate a value building it until it reaches a limit of the system or overflows.

Verlet integration improves the accuracy of the integration to within fourth-order Taylor series terms, and the Runge-Kutta method which is gaining popularity further improves this accuracy to within fifth-order Taylor series terms.