#16643: integrate() problem
-------------------------------------+-------------------------------------
       Reporter:  rws                |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-
      Component:  symbolics          |  duplicate/invalid/wontfix
       Keywords:  integration,       |   Resolution:
  maxima                             |    Merged in:
        Authors:                     |    Reviewers:  Peter Bruin
Report Upstream:  Fixed upstream,    |  Work issues:
  but not in a stable release.       |       Commit:
         Branch:                     |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by pbruin):

 * status:  new => needs_review
 * reviewer:   => Peter Bruin
 * milestone:  sage-6.4 => sage-duplicate/invalid/wontfix


Comment:

 With Maxima 5.34.1 and also with 5.35.1 (see #17514), both integrals are
 returned unevaluated:
 {{{
 sage: f = diff((tan(x) + x) * e^tan(x), x)
 sage: %time integrate(f, x)
 CPU times: user 5min 32s, sys: 12 ms, total: 5min 32s
 Wall time: 5min 33s
 integrate((tan(x)^2 + 1)*(x + tan(x))*e^tan(x) + (tan(x)^2 + 2)*e^tan(x),
 x)
 sage: g = e^tan(x) * sec(x)^2 * (tan(x) + x) + e^tan(x) * (sec(x)^2 + 1)
 sage: %time integrate(g,x)
 CPU times: user 4min 43s, sys: 128 ms, total: 4min 44s
 Wall time: 4min 44s
 integrate((x + tan(x))*e^tan(x)*sec(x)^2 + (sec(x)^2 + 1)*e^tan(x), x)
 }}}
 I propose to close this since the ECL error appears to have been fixed
 upstream and the example takes too long to be a sensible doctest.

--
Ticket URL: <http://trac.sagemath.org/ticket/16643#comment:10>
Sage <http://www.sagemath.org>
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