Find the integral using an appropriate trigonometric substitution. 
Definitions:
Foraging Societies
Communities that rely on hunting, fishing, and gathering wild food resources for their subsistence.
Social Organization
The structured arrangement of relationships and institutions within a society, which governs its functioning and order.
Socially Approved
Refers to actions or behaviors that are accepted and endorsed by society or a specific community.
Nuclear Family
A fundamental social group composed of a pair of adults and their offspring.
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