#3863: Have numerical evaluation of unevaluated integrals call numerical 
integral
------------------------+---------------------------------------------------
   Reporter:  ddrake    |       Owner:  mhansen                                 
        
       Type:  defect    |      Status:  new                                     
        
   Priority:  major     |   Milestone:  sage-4.3.1                              
        
  Component:  calculus  |    Keywords:  integration integral calculus symbolic 
numerical
Work_issues:            |      Author:                                          
        
   Upstream:  N/A       |    Reviewer:                                          
        
     Merged:            |  
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Changes (by kcrisman):

  * keywords:  integration integral calculus symbolic => integration
               integral calculus symbolic numerical
  * upstream:  => N/A


Comment:

 Update: in 4.3.alpha1 with Maxima 5.20.1, we now get
 {{{
 sage: integrate(x^2.7 * e^(-2.4*x), x, 0, 3)
 119/6144*2^(3/5)*3^(3/10)*5^(7/10)*gamma(7/10) -
 125/20736*2^(3/5)*3^(3/10)*5^(7/10)*gamma_incomplete(37/10, 36/5)
 }}}
 But it won't evaluate the gamma_incomplete, since for some reason we
 aren't translating it to gamma_inc or incomplete_gamma, which are the
 supported functions; however, otherwise it is correct (as comparing with
 results of numerical_integral).

 This does not fix the problem, of course, but I will change the summary to
 get at the fundamental thing mhansen and I discussed, and open a separate
 ticket (if it doesn't exist) for the gamma_incomplete not being translated
 correctly from Maxima.  That is #7748.

 Do we in the meantime have the _evalf_ method on a symbolic integral that
 can be changed?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3863#comment:6>
Sage <http://www.sagemath.org>
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