Find the area of the regions bounded by the parabola `y^2=4ax` and the line x=a.

Explanation

To find the area of the region bounded by the parabola \( y^2 = 4ax \) and the line \( x = a \), we can follow these steps:

### Step 1: Understand the curves
The given parabola \( y^2 = 4ax \) opens to the right, and the line \( x = a \) is a vertical line. We need to find the area between these two curves.

### Step 2: Find the points of intersection
To find the points where the parabola intersects the line, we substitute \( x = a \) into the parabola's equation:
\[
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