Abstarct: In this study, we compute out-of-time order correlations (OTOC) by quantum scrambling. Out-of-time order correlations are typically defined by A. A indicates the average heat. OTOC was first used to investigate the instability of electron pathways in semiconductors, But has recently been considered as a standard for quantum chaos. To measure OTOC Between two points, we use the so-called two-point measurement method. The two-point measurement is widely used in this field, and also gives a clear interpretation of quantum scrambling with non-equilibrium fluctuations of quantum quantities such as work and heat. We provide OTOC calculations for a spin chain and compare the behavior of this quantity in integrable and non-integrable systems. In non-equilibrium integrable quantum systems, Observables can not normally balance in a thermal state. After collapsing In these systems, Observables are described by a new statistical ensemble , which is called the generalized ensemble of Gibbs. However, observables in non-integrables systems will be balanced in the long run and as a result, the OTOC value goes to zero. We also examined the mean distribution of work and the mean value of standard deviation and distribution of work distribution for both systems. Since correlations play a fundamental role in quantum mechanics, the mean of the correlation function A for two spin in The middle and neighboring ones are examined for both systems, Which shows that it converges to a certain value for non-integrable system, While still being fluctuating for integrable systems. In the following calculations, we measured the relative distance between the state of the system at any given moment and the initial thermal state of the system for both integrable and non-integrable systems. According to the results obtained, this quantity also has an exponential behavior for non-integrable system , While the quantity has oscillated in integrable systems.