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Does Maple 13 integrate better than Maple 10?

Добавлено: Пт янв 22, 2010 12:01 am
1.My comp (AMD Athlon 64 Processor 3000+, 1.5 GB RAM) with Maple 13 calculates the integral int(1/(x^4+3*x^2+1)^p,x=0..infinity) for p<=545 and the same comp with Maple 10 calculated this integral for p=3000. The answer is of the form k/n*Pi*sqrt(5), where k and n are natural numbers.
2. Maple 13 calculates the integral int(ln(abs(1-u^2*exp(2*I*t)))/u^2,u=0..infinity)in the somewhat strange form (look at the attached file improper.mw).
How to explain that?