Using integration, find the area of the region bounded by the line `2y=-x+8`,x-axis is and the lines `x=2` and `x=4`.

Explanation

To find the area of the region bounded by the line \(2y = -x + 8\), the x-axis, and the vertical lines \(x = 2\) and \(x = 4\), we can follow these steps:

### Step 1: Rewrite the line equation
First, we need to express the line equation in terms of \(y\):
\[ 2y = -x + 8 \implies y = -\frac{1}{2}x + 4 \]

...