#12628: Integration of Product of Sin(nz)/(nz) says divergent, but is not
divergent
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Reporter: dkrenn | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: calculus | Keywords: integration, divergent, infinity
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by kcrisman):
Naturally, this is straight from Maxima.
{{{
Maxima 5.26.0 http://maxima.sourceforge.net
using Lisp SBCL 1.0.24
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1)
integrate(sin(z)/z*sin(3*z)/(3*z)*sin(5*z)/(5*z)*sin(7*z)/(7*z),z,0,inf);
defint: integral is divergent.
-- an error. To debug this try: debugmode(true);
(%i2)
integrate(sin(z)/z*sin(3*z)/(3*z)*sin(5*z)/(5*z)*sin(7*z)/(7*z)*sin(9*z)/(9*z),z,0,inf);
3677 %pi
(%o2) --------
72576
}}}
That is kind of weird, the even/odd (well, mod 4) issue.
This is now on the Maxima
[https://sourceforge.net/tracker/?func=detail&aid=3497046&group_id=4933&atid=104933
bug tracker].
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12628#comment:2>
Sage <http://www.sagemath.org>
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