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I've searched the forums extensively (and what seems like 60% of the entire internet) for anything relevant and haven't found anything, please point me in the right direction if you've seen this before!

## Homework Statement

Show that even though Q and R are Hermitian operators, QR is only Hermitian if [Q,R]=0

## Homework Equations

[Q,R] = QR - RQ

[Q,R]* = R*Q*-Q*R*

## The Attempt at a Solution

I've managed to prove, using the definition of Hermiticity that:

∫f(i(QR-RQ))g dτ = ∫g(i(QR-RQ))*f dτ

For two random functions, f and g, and i= Sqrt(-1)

But I'm not sure how relevant this is... I don't have a strong enough intuition to see whether or not this immediately proves anything. Any help would be greatly appreciated!