Find the Fourier Series of 
on the interval 
.
Definitions:
Laboratories of Democracy
A concept that states can experiment with policies and solutions, serving as prototypes for national legislation.
American System
An economic plan that played a significant role in American policy during the early 19th century, advocating for a high tariff to support internal improvements and protect domestic manufacturing.
New Federalism
A political philosophy that advocates for the redistribution of power from the federal government to state and local governments, emphasizing decentralization.
Dual Federalism
A political concept that views the federal government and the state governments as co-equal sovereign powers with separate and distinct areas of authority.
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