Calculate the arc length of the curve 
over the interval 
.
Definitions:
Functionally Necessary
Pertains to elements or processes essential for the operation or survival of a system.
High Rank Positions
Statuses or roles within an organizational or societal hierarchy that carry significant influence, power, or authority.
Kingsley Davis
An American sociologist and demographer known for his work on population theory and the study of human societies.
Wilbert Moore
A notable sociologist recognized for his work in role theory, social change, and the structures of modern societies.
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