Find the area of the region bounded by the curve `y=|x+1|`, lines `x= -4,x=2` and X-axis.

Explanation

To find the area of the region bounded by the curve \( y = |x + 1| \), the lines \( x = -4 \), \( x = 2 \), and the x-axis, we will follow these steps:

### Step 1: Understand the function
The function \( y = |x + 1| \) can be expressed in piecewise form:
- For \( x + 1 \geq 0 \) (i.e., \( x \geq -1 \)), \( y = x + 1 \).
- For \( x + 1 < 0 \) (i.e., \( x < -1 \)), \( y = -(x + 1) = -x - 1 \).

### Step 2: Identify the bounds
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