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- ALGINT
- A Package for the Analytic Integration of Expressions Involving Square Roots
- James H. Davenport
- Mathematical Sciences
- University of Bath
- Claverton Down
- Bath, BA2 7AY
- GREAT BRITAIN
- E-mail:jhd@uk.ac.bath.maths
- (redirect via ucl-cs.arpa or ...!mcvax!ukc)
- ALGINT is an extension of the standard REDUCE integration package for the
- integration of expressions involving square roots where the answer exists
- in that class of functions. It is an implementation of the work described
- in [Davenport 1981]. Both this and the source code should be consulted for
- a more detailed description of this work.
- To use this package, the command
- LOAD ALGINT;
- should be used. The form of this command may vary according to
- implementation. One then enters an expression for integration, e.g.:
- INT(SQRT(X+SQRT(X**2+1)/X,X);
- If one later wishes to integrate expressions without using the facilities of
- this package, the switch ALGINT should be turned off. This is turned on
- automatically when the package is loaded.
- The switches supported by the standard integrator (e.g., TRINT) are also
- supported by this package. In addition, the switch TRA, if on, will give
- further tracing information about the specific functioning of the algebraic
- integrator.
- REFERENCES
- Davenport, 1981 Davenport, J.H., "On the Integration of Algebraic
- Functions", LNCS 102, Springer 1981.
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