Final answer:
A Comprehensive History involves extensive documentation of the present illness, a complete review of systems, and a complete past, family, and social history.
Step-by-step explanation:
The type of history that includes documentation of four or more elements of the history of the present illness, a complete review of systems, and a complete past, family, and social history is known as a Comprehensive History. This level of history taking is thorough and extensive, allowing for a wide-ranging collection of information about the patient's health. It is contrasted with other types of history taking such as a Brief History, which is much more limited in scope, an Extended History that is more detailed than brief but not as thorough as comprehensive, and a Problem-Focused History, which is highly focused on the current problem without extensive exploration of unrelated systems or history.