Question: integrating over a list, vector, matrix, etc...

Is there a reason why maple can't directly integrate over iterable objects (lists, vectors, matrices, etc.)?
From a first glance I would think doing 

int(<sin(x), cos(x)>, x=0..2)

should be equivalent to:

map(int, <sin(x), cos(x)>, x=0..2)

Is there a good reason why this would be a bad idea?  (for whatever it's worth, that's what mathematica does by default).


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