IntSurvey.mw
Note
Abstract
Risch Algorithm for Elementary Functions
Example 1.1
Defining the function field
Notation for elementary functions
Examples in common notation
The same examples in exp-log notation
Liouville's Principle
Integral of a rational function
Example 1.2
Hermite Reductions for the Rational Part
Example 1.3
Rothstein-Trager Theorem for the Logarithmic Part
Example 1.4
Example 1.5
The case of transcendental elementary functions
Example 1.6
Example 1.7
Example 1.8
Integral of a logarithmic extension
Hermite Reductions for the Rational Part (log extension)
Rothstein-Trager Theorem: log extension
Example 1.9
Example 1.10
Polynomial Part (log extension)
Example 1.11
Example 1.12
Integral of an exponential extension
Hermite Reductions for the Rational Part (exp extension)
Rothstein-Trager Theorem: exp extension
Example 1.13
Polynomial Part (exp extension)
Example 1.14
Comments on algebraic and mixed extensions
Comments on non-elementary extensions
Symbolic Solution of Definite Integrals
Fundamental Theorem of Calculus: practical issues
Example 2.1
Example 2.2
Example 2.3
Example 2.4
Methods for Special Functions: Generalized hypergeometric function and Meijer G function
Example 2.5
Example 2.6
References