What do the limits represent on a Riemann–Stieltjes integral?

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Say I have the integral

$$ \int_0^{10} 1\ d(x^2) $$

Are the limits on the range of $x$ or of $x^2$ ?

Based on the wiki page I am assuming it is the limits of $x$ in which case I imagine the answer here is:

$$ \int_0^{10} 1\ d(x^2) = \int_0^{10} 2x\ dx = [x^2]^{10}_0 = 100 $$

Or alternatively is it a limit on $x^2$ ? e.g. using $z = x^2$

$$ \int_0^{10} 1\ d(x^2) = \int_0^{10} 1\ dz = [z]^{10}_0 = 10 $$

Any help / clarification would be appreciated !