Integration to obtain expressions valid on domains of maximum extent
David J. Jeffrey · 1993
In certain circumstances, the integration routines used by computer algebra systems return expressions whose domains of validity are unnecessarily restricted by the presence of discontinuities. It is argued that this is undesirable and that integration routines should meet an additional requirement: they should return expressions that are valid on domains of maximum extent. The contention is supported by general mathematical arguments, by an examination of existing practises and by a demonstration that two standard algorithms can be modified to meet the requirement.