#17608: Allow use of principal value of integral if it's right
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   Reporter:  kcrisman  |            Owner:
       Type:  defect    |           Status:  new
   Priority:  major     |        Milestone:  sage-6.5
  Component:  calculus  |         Keywords:
  Merged in:            |          Authors:
  Reviewers:            |  Report Upstream:  N/A
Work issues:            |           Branch:
     Commit:            |     Dependencies:
   Stopgaps:            |
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 {{{

 (%i1) integral(sec(x), x, -%pi/4, %pi/4);
                                               %pi  %pi
 (%o1)                   integral(sec(x), x, - ---, ---)
                                                4    4
 (%i2) integrate(sec(x), x, -%pi/4, %pi/4);
 Principal Value
                          sqrt(2) + 2          sqrt(2) - 2
 (%o2)                log(-----------) - log(- -----------)
                               2                    2

 }}}
 but Sage has
 {{{
 sage: integral(sec(x), x, -pi/4, pi/4)
 ValueError: Integral is divergent
 }}}
 because of the PV.  See also #13511.

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Ticket URL: <http://trac.sagemath.org/ticket/17608>
Sage <http://www.sagemath.org>
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