The lasing without inversion phenomena in the three-level nanoparticles inserted in the micro ring resonators as the active gain medium for loss compensation in the all-optical memory unit cell is investigated. The effect of parameters such as pumping rate is analyzed. Also, the electromagnetically induced transparency effect in the three-level quantum dots is utilized as an on/off phase shifter for data reading at requested time. The optical integrator generates an optical step function to save the input data. Both the input data into the memory and the output read out are the return-to-zero Gaussian signals. Since, the light in the integrator is mostly erased during the rising edge of the phase shift pulse, the output data has the narrower pulse width. Finally, the effect of the power coupling coefficient of the directional couplers on data storage and read out process is investigated. Device minimizing for integrated purposes and high-speed data saving are the main advantages of the optical integrator-based memory.