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This isn't really an answer, but ...

This is one of many things about the integration interface that needs to be improved. We have two fundamentally different syntaxes for symbolic versus numerical integration. Would you find it possible to collate all your questions about this into one collection and open a Trac ticket for "Improve numerical integration syntax" or something like that? I don't think it would be terribly difficult to fix many of these things, but it's much harder because the requests (and possibly tickets - over the last few years) are sort of scattered.