#12438: Definite integral should not depend on the dummy variable
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Reporter: novoselt | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: symbolics | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Consider the following:
{{{
sage: f(x) = x; f
x |--> x
sage: integral(f, x)
x |--> 1/2*x^2
sage: integral(f, x, 0, 1)
x |--> 1/2
}}}
The last integral has not "happened" to be constant - it does not depend
on x mathematically, so it should not depend on x in Sage.
Multivariate case:
{{{
sage: f(x, y) = x + y
sage: f
(x, y) |--> x + y
sage: integral(f, x, 0, 1)
(x, y) |--> y + 1/2
sage: _(3)
y + 1/2
}}}
`integral(...)` here should return a symbolic function that depends on y
only, so that the last evaluation gives `7/2` (and there are no warning
about unnamed evaluation - the order of variables is the same as for the
original function with one variable dropped).
See discussion here: http://groups.google.com/group/sage-
devel/browse_thread/thread/1309eeae0714be79
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12438>
Sage <http://www.sagemath.org>
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