Engineering & Technologies, 2016, 9(8), 1314-1325 ~ ~ ~ УДК 536.8 About Some Properties and Features of Differential and Integrated Representations in the Theory of Thermodynamic Functions Toksan A. Zhakatayev*a Klara Sh. <...> Kakimovab , Kamalkhan E. Sakipova , and Maralgul B. Аytmagambetovaa 13 K. Munitpasova Str., Astana, 010008, Kazakhstan b aL. <...> N. Gumilev Eurasian National University Karaganda State Technical University 56 Mira Boulevard Str., Karaganda, 100027, Kazakhstan Received 27.06.2016, received in revised form 19.09.2016, accepted 14.11.2016 In article the comparative analysis of differential and integrated consideration of thermodynamic process is carried out. <...> It is shown that use of the rule of replacement of variables of integration leads to correct output of main thermodynamic functions (an enthalpy, Helmholtz's function and Gibbs's function). <...> It occurs through integrated consideration of thermodynamic process when parameters change in fi nal (limited) intervals. <...> It is established that Integrated consideration of the law of energy conservation in general view for the moving fi nal volume of liquid or gas leads to «expanded» option of formula for the fi rst law of thermodynamics. <...> At the same time the equations recorded in differential form taking into account different types of technical work. <...> Keywords: thermodynamic function, pushing through work, thermodynamic potentials, enthalpy, law of energy conservation, moving volume of gas, mobile borders, fi nal volume, fi nal interval of change. <...> Citation: Zhakatayev T.A., Sakipov K.E., Kakimova K.Sh., Аytmagambetova M.B. About some properties and features of differential and integrated representations in the theory of thermodynamic functions, J. Sib. <...> All rights reserved * Corresponding author E-mail address: Toksanzh@yandex.kz # 1314 # Toksan A. Zhakatayev, Kamalkhan E. Sakipov… About Some Properties and Features of Differential and Integrated… О некоторых свойствах и особенностях дифференциальных и интегральных представлений в теории термодинамических функций Т. <...> At a conclusion of the equations for the isochoric – isothermal potential of F (Helmholtz’s energy) and the isobaric – isothermal potential of G (Gibbs’s energy) at the same time it is possible to allocate and distinguish two approaches. <...> However in literature the distinctive and similar parties of these two aren’t considered and, differing approaches <...>