8000 Wrong indefinite integral of some odd functions between opposite endpoints · Issue #17109 · sagemath/sage · GitHub
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Wrong indefinite integral of some odd functions between opposite endpoints #17109
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@sagetrac-tmonteil

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@sagetrac-tmonteil

As reported on this ask question, Maxima seems to know that integrating an odd function between two opposite endpoints leads to zero, however it applies this rule even when the integral is not defined:

sage: integrate(sin(x), x, -oo, oo)
0
sage: integrate(tan(x), x, -oo, oo)
0

However,

sage: integrate(arctan(x), x, -oo, oo)
ValueError: Integral is divergent.

Upstream: Reported upstream. No feedback yet.

CC: @sagetrac-jakobkroeker

Component: symbolics

Keywords: maxima, integration

Stopgaps: wrongAnswerBug

Issue created by migration from https://trac.sagemath.org/ticket/17109

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