Evaluate the integral by making the given substitution. 
Definitions:
American "Frontier"
Referred to the boundless, undeveloped land west of the settled areas in America, often symbolizing opportunities and the spirit of exploration.
Leatherstocking Tales
A series of five novels by James Fenimore Cooper, featuring the adventures of the frontiersman Natty Bumppo, significant in American literature for their portrayal of early American life and wilderness.
Daniel Boone
An American pioneer, explorer, woodsman, and frontiersman whose frontier exploits made him one of the first folk heroes of the United States.
James Fenimore Cooper
An early 19th-century American writer known for his historical novels of frontier and Native American life, most famously "The Last of the Mohicans."
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