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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.