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Integrate fails without warning?


This regards not only Calculus`Integration`, but also the built-in
Integrate:
Defining a square wave...
In[1]:= ondQua[t_] := If[OddQ[Floor[2t]], -1, 1]
....Mathematica fails completely in computing its defined integral...
In[2]:= Integrate[ondQua[t], {t, 0, 1}]
Out[2]= 1
....without any warning or error message !!!
How is it possible?

With NIntegrate the things goes better, but i believe that a similar risk
with Integrate would have to be documented somewhere; if exists some notes
about this using of Integrate on Mathematica-help, please tell me where.

Waiting your answers,
Thanks,
Raf.





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