Using integration, find the area of the region bounded by the line y-1 = x, the x-axis, and the ordinates x = -2 and x = 3.

Explanation

To find the area of the region bounded by the line \( y - 1 = x \), the x-axis, and the ordinates \( x = -2 \) and \( x = 3 \), we will follow these steps:

### Step 1: Rewrite the equation of the line
The equation given is \( y - 1 = x \). We can rewrite this in slope-intercept form:
\[ y = x + 1 \]

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