integral over an operator

[mhill]

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

[Avodyne]

In general one never integrates over operators in QM.