The area of the region enclosed by the curves `y""=""x ,""x""=""e ,""y""=1/x` and the positive x-axis is (1) `1/2` square units (2) 1 square units (3) `3/2` square units (4) `5/2` square units

Explanation

To find the area of the region enclosed by the curves \( y = x \), \( x = e \), \( y = \frac{1}{x} \), and the positive x-axis, we will follow these steps:

### Step 1: Identify the points of intersection
We need to find the points where the curves intersect. We will set \( y = x \) equal to \( y = \frac{1}{x} \):

\[ x = \frac{1}{x} \]
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