#15219: numerical integral needs an operand for callable symbolic functions
------------------------+-----------------------------
   Reporter:  kcrisman  |            Owner:
       Type:  defect    |           Status:  new
   Priority:  minor     |        Milestone:  sage-5.12
  Component:  calculus  |         Keywords:
  Merged in:            |          Authors:
  Reviewers:            |  Report Upstream:  N/A
Work issues:            |           Branch:
     Commit:            |     Dependencies:
   Stopgaps:            |
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 I feel like I've seen this before, so close if appropriate...

 {{{

 sage: h(x) = x
 sage: numerical_integral(h, 1, 2)
 ---------------------------------------------------------------------------
 /Users/.../sage-5.11.rc0/local/lib/python2.7/site-
 packages/sage/symbolic/expression_conversions.pyc in fast_float(ex, *vars)
    1264         1.4142135623730951
    1265     """
 -> 1266     return FastFloatConverter(ex, *vars)()
    1267
    1268 #################

 /Users/.../sage-5.11.rc0/local/lib/python2.7/site-
 packages/sage/symbolic/expression_conversions.pyc in __call__(self, ex)
     206         operator = ex.operator()
     207         if operator is None:
 --> 208             return self.symbol(ex)
     209
     210         if operator in arithmetic_operators:

 /Users/.../sage-5.11.rc0/local/lib/python2.7/site-
 packages/sage/symbolic/expression_conversions.pyc in symbol(self, ex)
    1182             return self.ff.fast_float_constant(float(ex))
    1183         except TypeError:
 -> 1184             raise ValueError, "free variable: %s" % repr(ex)
    1185
    1186     def arithmetic(self, ex, operator):

 ValueError: free variable: x |--> x
 }}}
 but
 {{{
 sage: numerical_integral(x, 1, 2)
 (1.5, 1.6653345369377348e-14)
 }}}
 I think this should be easy to fix by catching this somehow.

--
Ticket URL: <http://trac.sagemath.org/ticket/15219>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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