Find the integral. 
Definitions:
Housing Price Index
A statistical measure designed to reflect the price changes of residential housing.
Case And Schiller
Researchers known for their work in analyzing home prices that led to the development of the S&P/Case-Shiller Home Price Indices.
Greenspan And Bernanke
Alan Greenspan and Ben Bernanke, both of whom served as Chairmen of the Federal Reserve, driving significant monetary policy decisions in the United States.
Socially Optimal Level
The socially optimal level refers to an outcome in production or activity where the social benefits are maximized and social costs minimized, often achieved through proper regulation or market mechanisms.
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