In many applications, the combination of quantum computing methods and traditional signal processing systems can result in notable performance gains. In this paper, we propose a new method for designing a digital integrator based on adaptive finite impulse response filtering and spin qubits based on quantum dots. We show how the precision and efficiency of the integration process can be improved by utilizing the special characteristics of quantum dots, such as their extended coherence durations and discrete energy levels. Additionally, in order to reduce the effects of quantum noise and enhance system performance, we present an adaptive FIR filtering technique that dynamically adjusts the filter coefficients. The suggested method's potential for use in precision instrumentation is demonstrated by theoretical analysis and numerical simulation validation control systems, and quantum-enhanced signal processing.