Lists of integrals - Definition and Overview

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 hyperbolic functions
• List of integrals of exponential functions
• List of integrals of logarithmic functions
• List of integrals of arc functions
• List of integrals of area functions

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

Other lists of integrals

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 at least two which offer integrals on demand.

References

• Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.

• Alan Jeffrey and Daniel Zwillinger, editors. Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, sixth edition. Academic Press, 2000. ISBN 0-12-294757-6. Errata. (http://www.mathtable.com/gr) (Several previous editions as well.)

• Daniel Zwillinger. CRC Standard Mathematical Tables and Formulae, 31st edition. Chapman & Hall/CRC Press, 2002. ISBN 1584882913. (Many earlier editions as well.)

External links

Integrals on demand

• The Integrator (http://www.integrals.com) (at Wolfram Research)
• TILU Table of Integrals Look Up (http://torte.cs.berkeley.edu:8010/tilu) (maintained by Richard Fateman)

Tables of integrals

• S.O.S. Mathematics: Tables and Formulas (http://www.sosmath.com/tables/tables.html)