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Definite Integration of Parametric Rational Functions: Applying a DITLU

Adams, A.A.


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{
  "publisher": "A. K. Peters", 
  "DOI": "10.5281/zenodo.810877", 
  "ISBN": "1-56881-145-4", 
  "container_title": "Symbolic Computation and Automated Reasoning", 
  "title": "Definite Integration of Parametric Rational Functions: Applying a DITLU", 
  "issued": {
    "date-parts": [
      [
        2001, 
        1, 
        1
      ]
    ]
  }, 
  "abstract": "In [2] we presented a Definite Integral Table Lookup (the DITLU) for parametric functions, including a minimal prototype implementation demonstrating its capabilities. In this paper we present a possible application of a DITLU, which would extend its utility for a modest investment of effort. The naive algorithm for indefinite integration of rational functions (see e.g. [12, \ufffd2.10]) can be implemented for parametric rational functions. This involves splitting the rational function integrand using partial fractions. The resulting integrands all fall within a limited class which may be covered in a DITLU by a very small number of table entries. Extensions of this idea to less naive integration algorithms, and the number of table entries required to implement them, are also considered. This record was migrated from the OpenDepot repository service in June, 2017 before shutting down.", 
  "author": [
    {
      "family": "Adams, A.A."
    }
  ], 
  "type": "chapter", 
  "id": "810877"
}
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