Evaluate the definite integral. 
Definitions:
Transtheoretical Model
A psychological model that outlines stages of change individuals go through in modifying behavior, from precontemplation to maintenance.
Contemplation Stage
A stage in the Transtheoretical Model of Change where an individual is considering making a change in their behavior, but has not yet committed to action.
Habit
A regular practice or routine that is hard to give up, often performed automatically and can influence one's health and behavior significantly.
Motivation
A mechanism that triggers, steers, and upholds activities focused on attaining objectives.
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