Find the area of the region bounded by the curve `y^2=4x`and the line `x = 3`.

Explanation

To find the area of the region bounded by the curve \( y^2 = 4x \) and the line \( x = 3 \), we will follow these steps:

### Step 1: Identify the curves and their intersection points
The curve \( y^2 = 4x \) is a rightward-opening parabola, and the line \( x = 3 \) is a vertical line. To find the points of intersection, we substitute \( x = 3 \) into the equation of the parabola:

\[ y^2 = 4(3) = 12 \]
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