#11737: "integrate" fails to integrate a convergent integral (sin(x^2)/x^2).
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Reporter: lfousse | Owner: burcin
Type: defect | Status: new
Priority: minor | Milestone: sage-4.7.2
Component: calculus | Keywords:
Work_issues: | Upstream: Not yet reported upstream; Will do
shortly.
Reviewer: | Author:
Merged: | Dependencies:
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Changes (by kcrisman):
* upstream: N/A => Not yet reported upstream; Will do shortly.
Comment:
This is in Maxima. In the latest:
{{{
(%i1) integrate(sin(x^2)/(x^2),x,1,inf);
defint: integral is divergent.
}}}
It used to just return the integral.
{{{
(%i1) integrate(sin(x^2)/(x^2),x,1,inf);
inf
/ 2
[ sin(x )
(%o1) I ------- dx
] 2
/ x
1
}}}
I think this integral should converge, right? By the p-test (well, with
absolute values) for p=2? And `numerical_integral` agrees with your
thing. This is probably a bug in Maxima, I'll put it there.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11737#comment:3>
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