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Unexpected result of an integral using Integrate?

To the question

Integrate[1/ Log[1 + 1/t] Exp[-t], t]

Mathematica 13.2 answers 0, which is false !
POSTED BY: Iochum bruno.iochum@cpt.univ-mrs.fr
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Looks like a bug on Mathematica 13.2.0. On Mathematica 13.1.0. gives Input.

Regards.
POSTED BY: Mariusz Iwaniuk
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