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Fluctuating rate coefficients are necessary in the mass-action rate laws of kinetic processes with disorder. Measuring the fluctuations of rate coefficientsin rate laws  is a challenge, particularly when the laws are nonlinear. for nonlinear rate laws.  Here we present a measure of the total disorder, static or dynamic, in the kinetics of irreversible decay $A^i\to \textrm{products}$, $i=1,2,3,\ldots n$ governed by (non)linear rate equations. We measure the inequality between the time-integrated square of the rate coefficient (multiplied by the time interval of interest) and the square of the time-integrated rate coefficient. By applying this measure of the rate coefficient history to empirical models for disordered kinetics with $i\geq 2$, we show this inequality measures the cumulative deviations in rate coefficients from a constant value. The equality is a necessary and sufficient condition for the traditional rate laws with ``rate constants'' to hold for this class of kinetic processes.