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

Explanation

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

### Step 1: Understand the curves and their intersection
The equation of the circle is given by:
\[ x^2 + y^2 = 32 \]
This represents a circle centered at the origin (0,0) with a radius of \(\sqrt{32} = 4\sqrt{2}\).
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