Indefinite Integration Rules
In Mathematica Notebook Files
This page provides links to Mathematica notebook files containing precisely defined rules that can integrate
a wide variety of expressions when systematically applied.
The rules are displayed in mathematical notation followed by the equivalent Mathematica program code.
Mathematica or the Wolfram CDF Player (formerly the Mathematica Player) are required to load and view these files.
The Wolfram CDF Player can be downloaded for free from the Wolfram Research website.
The following types of comments precede many of the rules:
Derivation gives the integration technique used to derive a rule.
Basis gives the mathematical identity used to transform the integrand into a form easier to integrate.
Reference gives the number assigned to the rule
in one or more of the following integration tables:
G&R is the "Table of Integrals, Series, and Products", fifth edition, I.S. Gradshteyn, I.M. Ryzhik, and Alan Jeffrey,
editors.
CRC is the "CRC Standard Mathematical Tables and Formulae", 29th edition, William H. Beyer, editor.
A&S is the "Handbook of Mathematical Functions", Milton Abramowitz and Irene A. Stegun, editors.
To view or download a notebook file of integration rules, click on one of the following links:
Integration rules for rational functions:
Integration rules for algebraic functions:
Integration rules for expressions involving exponentials:
Integration rules for expressions involving logarithms:
Integration rules for expressions involving trig functions:
Integration rules for expressions involving inverse trig functions:
Integration rules for expressions involving hyperbolic functions:
Integration rules for expressions involving inverse hyperbolic functions:
Integration rules for expressions involving special functions:
General integration rules
Integration utility functions