Find the area enclosed by the curves `y=|x-1|a n dy=-|x-1|+1.`

Explanation

To find the area enclosed by the curves \( y = |x - 1| \) and \( y = -|x - 1| + 1 \), we will follow these steps:

### Step 1: Understand the Functions
The first function, \( y = |x - 1| \), represents a V-shaped graph that opens upwards with its vertex at the point (1, 0). It has two linear pieces:
- For \( x < 1 \), \( y = 1 - x \)
- For \( x \geq 1 \), \( y = x - 1 \)

The second function, \( y = -|x - 1| + 1 \), represents an inverted V-shaped graph that opens downwards with its vertex at (1, 1). It also has two linear pieces:
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