Find the area of the region in the first quadrant enclosed by the x-axis, the line `y = x`, and the circle `x^2+y^2=32`.

Explanation

To find the area of the region in the first quadrant enclosed by the x-axis, the line \( y = x \), and the circle \( x^2 + y^2 = 32 \), we can follow these steps:

### Step 1: Identify the curves and their intersection points
We have two curves:
1. The line \( y = x \)
2. The circle \( x^2 + y^2 = 32 \)

To find the points of intersection, we substitute \( y = x \) into the equation of the circle:
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