The region \( R \) is bounded by the lines \( y = 4 \), \( x = 1 \), the y-axis (\( x = 0 \)), and the x-axis (\( y = 0 \)). The curve \( C \) is the boundary of this region, oriented clockwise.
Step 2: Parameterize the boundary curve \( C \).
The boundary \( C
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