The area of the region bounded by the curve `y=e^(x)` and lines x=0 and y=e is

Explanation

To find the area of the region bounded by the curve \( y = e^x \), the line \( x = 0 \), and the line \( y = e \), we can follow these steps:

### Step 1: Identify the points of intersection
We need to find the points where the curve intersects the lines. The line \( y = e \) intersects the curve \( y = e^x \) when:
\[ e = e^x \]
Taking the natural logarithm of both sides, we get:
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