"Nasser M. Abbasi" schrieb: > > Added Rubi4 results also. > (just changed Integrate to Int after loading Rubi4 package). > > 5 integrals did not simplify to zero when compared > to the book result. May be Mathematica just could not analytically > simplify the difference to zero. I do not know. These were not > constant differerence but a function of x. > > Two integrals were not done by Rubi (10 and 11 from chapter 7). > > Results are posted here > > http://12000.org/my_notes/timofeev_integrals/index.htm >
The five integrals for which Rubi's evaluation does not simply differ from the 'model' result by a constant (including zero) are numbers 1, 6, 9, and 12 from Chapter 3, and number 6 from Chapter 7. The differences found in Chapter 3 are just piecewise constants that jump at poles of the antiderivatives - this is entirely acceptable. However, it looks like example 6 from Chapter 7 is left unevaluated by Rubi. Am I right?
I am not much surprised by Rubi's failure on numbers 10 and 11 from Chapter 7; Derive 6.10 cannot do them either. It may be acceptable to do nothing about this, I think.
PS: Note that the 'model' results in my Derive files may not always be identical (or equal or equivalent) to the results given in Timofeev's book. In some cases, the integrands and/or results had to be corrected for misprints or mistakes. I may also have 'continuitized' some of the evaluations (effectively adding piecewise constants to make them continuous on the real axis).