There remains a big problem. My algebraic skills are wrapped up in conventional mathematical notation while the mechanical numerical apparatus is Scheme. While languages such as C may be nearer to conventional mathematical notation I have found that they are not near enough. Also I need Scheme’s functional capacities.

A project suggests itself: A Scheme program to do some of these algebraic manipulations. Another project would be to transcribe the Wolfram’s textual form of the integral to a Scheme expression.

My friend Gabriel Laddel who runs Macsyma, provides this much simpler result!