#8728: Incorrect integral from Maxima
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Reporter: kcrisman | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-6.3
Component: calculus | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: Fixed upstream, but not in a | Work issues:
stable release. | Commit:
Branch: | Stopgaps:
Dependencies: |
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Comment (by pbruin):
In Maxima 5.33.0 (see #13973):
{{{
(%i1) assume(e^2<1);
2
(%o1) [e < 1]
(%i2) integrate(cos(w+T)/(1+e*cos(T))^2, T, 0, 2*%pi);
2
Is abs(e) - sqrt(1 - e ) - 1 positive, negative or zero?
negative;
! 2 !
Is !sqrt(1 - e ) - 1! - abs(e) positive, negative or zero?
negative;
2
2 %pi e sqrt(1 - e ) cos(w)
(%o2) - ---------------------------
4 2
e - 2 e + 1
}}}
This appears to be the correct answer. Note that the answers to both
questions are "negative" for all ''e'' with -1 < ''e'' < 1, so it would be
nice if Maxima didn't ask those questions.
--
Ticket URL: <http://trac.sagemath.org/ticket/8728#comment:15>
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