Editing Lists of integrals (section)

==Lists of integrals==
More detail may be found on the following pages for the '''lists of [[integral]]s''':

* [[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 inverse hyperbolic functions]]
* [[List of integrals of exponential functions]]
* [[List of integrals of logarithmic functions]]
* [[List of integrals of Gaussian functions]]

{{anchor|Prudnikov-Brychkov-Marichev}}[[Izrail Solomonovich Gradshteyn|Gradshteyn]], [[Iosif Moiseevich Ryzhik|Ryzhik]], [[Yuri Veniaminovich Geronimus|Geronimus]], [[Michail Yulyevich Tseytlin|Tseytlin]], Jeffrey, Zwillinger, and [[Victor Hugo Moll|Moll]]'s (GR) ''[[Table of Integrals, Series, and Products]]'' contains a large collection of results. An even larger, multivolume table is the ''Integrals and Series'' by [[Anatoli Prudnikov|Prudnikov]], [[Yuri Aleksandrovich Brychkov|Brychkov]], and [[Oleg Igorevich Marichev|Marichev]] (with volumes 1–3 listing integrals and series of [[elementary function|elementary]] and [[special functions]], volume 4–5 are tables of [[Laplace transform]]s). More compact collections can be found in e.g. Brychkov, Marichev, Prudnikov's ''Tables of Indefinite Integrals'', or as chapters in Zwillinger's ''CRC Standard Mathematical Tables and Formulae'' or [[Bronshtein and Semendyayev]]'s ''[[A Guide Book to Mathematics|Guide Book to Mathematics]]'', ''[[Handbook of Mathematics]]'' or ''[[Oxford Users' Guide to Mathematics|Users' Guide to Mathematics]]'', and other mathematical handbooks.

Other useful resources include [[Abramowitz and Stegun]] and the [[Bateman Manuscript Project]]. Both works contain many identities concerning specific integrals, which are organized with the most relevant topic instead of being collected into a separate table. Two volumes of the Bateman Manuscript are specific to integral transforms.

There are several web sites which have tables of integrals and integrals on demand. [[Wolfram Alpha]] can show results, and for some simpler expressions, also the intermediate steps of the integration. [[Wolfram Research]] also operates another online service, the  Mathematica Online Integrator.