How should I interpret integrals in which the function to be integrated seems expressed in terms of the differential?

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I've seen people write integrals like $$\int{\sqrt{dx}}$$, where the differential is not just appended to the end of the integrand in the way I'm used to, but is being acted on by some function in the scope of the integral (at least, that's what it seems like to me). How should I interpret this kind of notation?