A high-gain dc-dc converter, which integrates a quadratic boost flyback converter through coupled inductors is proposed in this paper. The integration generates a converter with high-gain using only one switch. The structure allows using the energy stored in the leakage inductance of the first coupled inductor on the load. Enabling this converter can be used in renewable energy systems, small wind turbines, compressed air systems, among others. The works contributes with a detailed analysis of the topology considering the leakage and the magnetizing of the coupled inductors. To validate the study, the numerical simulations were performed, as well as the tests in an experimental platform. The results, both theoretical and experimental, are in agreement which corroborates the proposed topology and the developed analysis. Thus, the converter shows up with great potential for the industrial sector.