#14274: Numerical approximation of a divergent integral
---------------------------+------------------------------------------------
Reporter: eviatarbach | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-5.9
Component: calculus | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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Sage is numerically approximating this integral, even though it's
divergent:
{{{
sage: integrate(x^3/sqrt(x^7+1), x, 1, oo).n()
-2.0585298599983344
sage: numerical_integral(x^3/sqrt(x^7+1), 1, oo)
(-2.0585298599983344, 1.1214140727133781e-11)
}}}
`numerical_integral` also fails on simpler divergent integrals:
{{{
sage: numerical_integral(1/x, 1, oo)
(65.94931131932763, 8.156214940519742)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14274>
Sage <http://www.sagemath.org>
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