Evaluate the definite integral by using the method of integration by parts. 
Definitions:
Deflation
A decrease in the general price level of goods and services in an economy over a period.
CPI
The Consumer Price Index (CPI) is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care.
Base Year
A specific year against which economic growth, prices, or other economic indicators are measured and compared.
Unemployment Benefits
Payments made by the government or a private insurance company to individuals who are unemployed and actively looking for a job.
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