Simple math problem. What does this equal? 
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This is exactly the reason why I *wouldn't* let you do it.. because I think of ∫ acting on differential forms, and it is weird to write the coefficiant of dx after it :P
you just think of iterated integration as successive action of a linear operator
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Or a linear operator on differential forms (then the exp is just multiplied by the result)... Just one of these weird differences we gotta deal with :P
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