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The paper presents a novel approach to the design of generalised integrators using switched-capacitor techniques. These generalised integrators, which integrate with respect to a dependent variable, can easily be constructed in IC form using MOS technology and possess other attractive features, for instance low cost and precision. Potential applications of the generalised integrators to the synthesis of nonlinear devices and circuits are also considered in the paper. It is shown that the switched-capacitor generalised integrators can perform many useful basic nonlinear operations such as multiplication, division, trigonometric and logarithmic operations etc. Finally, experimental results are presented which are in close agreement with the theoretical results.