Harnessing solar energy for residential applications is becoming increasingly popular. Ripple-free terminal currents along with compact design are the most desired features for a photovoltaic interface and Ćuk converter is an ideal candidate due to its wide operating range. Modifying the conventional Ćuk converter by adding coupled inductors and isolation forms the integrated magnetics Ćuk converter. Input inductor, output inductor and transformer windings are wound on a single magnetic structure thus leading to reduction in EMI. The obtained topology is capable of operating as a DC transformer with ripple-free input and output currents and eliminates the need for large output filter capacitor. However, adaption of such a topology is low due to complex design criteria and lack of simple procedure for determining ideal component values that yield 'zero-ripple' terminal currents. This paper provides a novel, descriptive approach with an analytical basis for determining the component values that cater to a wide range of applications for an integrated magnetics Ćuk converter and compares it with the conventional Ćuk converter topology. MATLAB scripts, PLECS and ANSYS Simplorer models are used for validation of the presented analysis.