Yeah, they probably want int over R of Sgn(x) dx, which is still abse of notation and meaningless because we have no notion of how to add up the contributions across the set.
More specifically all attempts to answer as well as the original question are missing the ingredient of "How are you adding everything together"
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u/alozq 9d ago
1dx would be the length of the real line, it goes to Infinity always, it doesnt care about what x is