On Thursday, September 26, 2013 7:17:06 AM UTC-10, clicl...@freenet.de wrote:
> Albert Rich schrieb: > > Your perfectionist credentials remain impeccable! Chapter 9 of the > > Timofeev test suite, revised as you suggested, is now available at > > > http://www.apmaths.uwo.ca/~arich/TimofeevChapter9TestResults.pdf > > Wasn't as perfect as you thought! Here's the next iteration on example > #49 from Timofeev's Chapter 9: > > INT(ASIN(SQRT((x - a)/(x + a))), x) > = - 2*a*(SQRT((x - a)/(x + a))/SQRT(2*a/(x + a))) > + (x + a)*ASIN(SQRT((x - a)/(x + a))) > > I notice that Timofeev (p. 422) gives an evaluation incompatible with > the above: it doesn't differentiate back to something as simple as his > integrand, so one may conclude he made the mistake rather than the > typesetter.
I just posted revised Timofeev Chapter 9 test suite problems and results incorporating the above change at