Find the integral using an appropriate trigonometric substitution. 
Definitions:
Room Temperature
The ambient temperature that is considered comfortable for humans, typically around 20-22 degrees Celsius (68-72 degrees Fahrenheit).
Main Effect
In statistics, the direct influence of an independent variable on a dependent variable in an experimental design.
Anxiety
A feeling of worry, nervousness, or unease about something with an uncertain outcome.
Motivation Levels
The intensity of one's drive or desire to undertake specific behaviors or pursue particular outcomes.
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