Evaluate the definite integral 
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Definitions:
Sample Proportion
The fraction or percentage of a sample that represents a particular outcome or characteristic.
Control Chart
A graphical tool used in process control to track if a process is functioning within predetermined limits over time.
Proportion of Defectives
The fraction or percentage of units in a batch or production lot that are considered to be non-conforming or defective, typically used in quality control and manufacturing processes.
Upper and Lower Control Limits
The thresholds in control charts within which a process is considered to be in control and stable, with the Upper Control Limit being the maximum acceptable limit and the Lower Control Limit the minimum.
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