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Approximations of the integral of a class of sinusoidal composite functions

Numerical Analysis 2024-01-17 v1 Mathematical Software Numerical Analysis

Abstract

Two approximations of the integral of a class of sinusoidal composite functions, for which an explicit form does not exist, are derived. Numerical experiments show that the proposed approximations yield an error that does not depend on the width of the integration interval. Using such approximations, definite integrals can be computed in almost real-time.

Keywords

Cite

@article{arxiv.2401.08080,
  title  = {Approximations of the integral of a class of sinusoidal composite functions},
  author = {Alberto Costa},
  journal= {arXiv preprint arXiv:2401.08080},
  year   = {2024}
}