Using the method of integration find the area bounded by the curve `|x|+|y| = 1`.[Hint: The required region is bounded by lines `x + y = 1, x -y = 1, -x + y = 1`and` -x -y = 1]dot`

Explanation

To find the area bounded by the curve \(|x| + |y| = 1\) using integration, we will follow these steps:

### Step 1: Understand the Curve
The equation \(|x| + |y| = 1\) represents a diamond shape (or rhombus) centered at the origin. This curve consists of four linear segments:
1. \(x + y = 1\) (First quadrant)
2. \(-x + y = 1\) (Second quadrant)
3. \(-x - y = 1\) (Third quadrant)
4. \(x - y = 1\) (Fourth quadrant)
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