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How does one test whether or not an integration has succeeded?

This must be a very simple matter--but how to address it eludes me at the moment.

I have a series of integrands--and want to flag whether the symbolic integation has succeeded or not (in order to avoid having to deal with certain possibly cumbersome results).

NumberQ[result] gives False either way--and True if I use NumberQ[N[result]]--so that doesn't seem to succeed for my purpose.