Integration techniques

  • Adi Ben-Israel
  • Robert Gilbert
Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)


We study methods for computing antiderivatives, methods known collectively as integration techniques. Three such methods are covered here:
  • the change of variables (or substitution) method (Sect. 10.1),

  • integration by parts (Sect. 10.2),

  • the partial fractions expansion method (Sect. 10.3).

The first two are more than techniques. They are an essential part of calculus, and at the same time they will enable you to compute most integrals you are likely to encounter in practice.


Rational Function Integration Technique Substitution Method Reduction Formula Infinite Interval 
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Copyright information

© Springer-Verlag Wien 2002

Authors and Affiliations

  • Adi Ben-Israel
    • 1
  • Robert Gilbert
    • 2
  1. 1.Rutgers Center for Operations Research and Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Department of Mathematical Science and Computer and Informational SciencesUniversity of DelawareNewarkUSA

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