Can Noncommutative Operators Be Integrated in Quantum Mechanics?

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since in QM we deal with noncommutative operators , for example

[A,B]=i\hbar 1

then my question is if we could define some kind of noncommutative integral

\int dA dB exp(-iAB) here A and B would be operators

how can you define for an operator a 'measure' dA
 
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In general one never integrates over operators in QM.
 

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