The integrated judiciary system of India means that all the courts are interconnected with each other, and the power increases as the level of courts go up higher and higher. This means that the Supreme Court is at the highest level, and its decisions are a binding on all the courts [State, District and Local, i.e Panchayats]. 
Also, if anyone is not satisfied by the judgement of one court, he is free to go to the next level of courts. It is like Local-->District-->State-->Supreme. But the decision of the Supreme Court is final, and must be honoured.
Hence, the Indian Judiciary system is integrated.