integrate(u/(u+1)^2,u) appears to return a correct antiderivative.
OP reports that integrate(u/(u+1)^2,u,0,inf) was correctly reported to be divergent in Maxima 5.32.1.
Looks like the error comes from ZTORAT and KEYHOLE in src/defint.lisp.
I don't know if KEYHOLE is returning an incorrect result or maybe
ZTORAT is calling KEYHOLE with an incorrect argument.
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Some additional info:
integrate(u/(u+1)^2,u)appears to return a correct antiderivative.integrate(u/(u+1)^2,u,0,inf)was correctly reported to be divergent in Maxima 5.32.1.I don't know if KEYHOLE is returning an incorrect result or maybe
ZTORAT is calling KEYHOLE with an incorrect argument.
[86685c3e400a893535dad1b940707750868e1de2]
src/defint.lisp:
o poles-in-interval: return pole at infinity, even when
$csign tells us no poles strictly within interval
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Commit: [86685c]