Find the area of the region bounded by `y^2 = 24x ` and line x = 1

Explanation

To find the area of the region bounded by the parabola \( y^2 = 24x \) and the line \( x = 1 \), we can follow these steps:

### Step 1: Understand the curves
The equation \( y^2 = 24x \) represents a right-opening parabola. The line \( x = 1 \) is a vertical line.

### Step 2: Find the points of intersection
To find the area, we first need to determine the points where the parabola intersects the line \( x = 1 \).

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