Use the given transformation to evaluate the integral. 
where R is the region in the first quadrant bounded by the lines 
and the hyperbolas 
Definitions:
Individual
A single human being as distinct from a group, society, or community, often considered in terms of autonomy, rights, and responsibilities.
Sense of Justice
An individual's perception or understanding of fairness, ethics, and the law.
Piaget
Jean Piaget was a Swiss psychologist known for his pioneering work in child development, specifically his theory of cognitive development which outlines how children's intellectual abilities evolve as they grow.
Young Children
A demographic group typically referring to individuals from infancy through early childhood, characterized by rapid physical, cognitive, and emotional development.
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