There are 8 chapters in the book containing 81+90+14+132+120+26+11+59 = 533 integration examples; the above are numbers 76 to 81 from chapter 1. I believe the whole would make a good independent integration test suite because the book antedates all automated integrators and because the author claims to cover the field thoroughly (with respect to integrals expressible by elementary functions and by elliptic integrals). In the Foreword (???????????), he writes (as translated by Google):
"In most of the guides on higher mathematics the question of integration of functions of one independent variable has a fairly complete coverage, so that very often students do not get a clear idea of ??what functions are integrated in closed form, for which this integration is impossible, and what techniques are useful in a particular case for various kinds of functions. With this in mind, the author of this book sought to explain the issue to a possible full, paying particular attention to the practice of integration, thus introducing a large number of examples. Thus, this book can serve as a first, a reference book for those wanting to get a quick response with respect to a quadrature, and secondly, aid for students who wish to supplement and deepen their knowledge in this matter."
A djvu file of the book (6 Megabyte) can be downloaded freely from various websites - just google the Russian title. The full name of the author apparently was Aleksandr Fedotovich Timofeev (????????? ????????? ????????), but I couldn't locate any information on him beyond this. A Russian review of the book is available at:
There are the usual misprints in the book, but with both the integrand and antiderivative available, the original meaning can be reconstructed for all (or almost all) examples I think. Timofeev's antiderivatives are usually close to the most compact form possible (an exception is his consistent use of logarithms for inverse hyperbolic functions), but they have to be checked for validity over the complex plane, and be corrected if necessary (this seems rare, but was needed for the last example above). Apart from compactness, continuity (and reality) on the real axis might be worth checking and repairing too.
So, if 5 to 10 people were found willing to type in and check (and perhaps correct or improve) 50 to 100 integrals and evaluations each, a digitization of this corpus could be an almost pleasant task, and surely quite useful. What do you think?