From Wikipedia, the free encyclopedia

It has been suggested that this article or section be merged with Table of integrals. (Discuss)

See the following pages for lists of integrals:

• List of integrals of rational functions
• List of integrals of irrational functions
• List of integrals of trigonometric functions
• List of integrals of inverse trigonometric functions
• List of integrals of hyperbolic functions
• List of integrals of arc hyperbolic functions
• List of integrals of exponential functions
• List of integrals of logarithmic functions

Also see table of integrals for the most common integral functions.

A compilation of a list of integrals (Integraltafeln) and techniques of integral calculus was published by the German mathematician Meyer Hirsch in 1810. These tables were republished in the United Kingdom in 1823. More extensive tables were compiled in 1858 by the Dutch mathematician David de Bierens de Haan. A new edition was published in 1862. These tables, which contain mainly integrals of elementary functions, remained in use until the middle of the 20th century. They were then replaced by the much more extensive tables of Gradshteyn and Rhyzik. In Gradshteyn and Rhyzik, integrals originating from the book by de Bierens are denoted by BI.

Gradshteyn and Ryzhik contains a large collection of results. Other useful resources include the CRC Standard Mathematical Tables and Formulae and Abramowitz and Stegun. A&S contains many identities concerning specific integrals, which are organized with the most relevant topic instead of being collected into a separate table. There are several web sites which have tables of integrals and integrals on demand.

• Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.

• I.S. Gradshteyn (И.С. Градштейн), I.M. Ryzhik (И.М. Рыжик); Alan Jeffrey, Daniel Zwillinger, editors. Table of Integrals, Series, and Products, seventh edition. Academic Press, 2007. ISBN 978-0-12-373637-6. Errata. (Several previous editions as well.)

• Daniel Zwillinger. CRC Standard Mathematical Tables and Formulae, 31st edition. Chapman & Hall/CRC Press, 2002. ISBN 1-58488-291-3. (Many earlier editions as well.)

• The Integrator (at Wolfram Research)
• TILU Table of Integrals Look Up (maintained by Richard Fateman)

• S.O.S. Mathematics: Tables and Formulas
• Indefinite and Definite Integrals (at EqWorld)

• Meyer Hirsch, Integraltafeln, oder, Sammlung von Integralformeln (Duncker un Humblot, Berlin, 1810)
• Meyer Hirsch, Integral Tables, Or, A Collection of Integral Formulae (Baynes and son, London, 1823)
• David de Bierens de Haan, Nouvelles Tables d'Intégrales définies (Engels, Leiden, 1862)