Integrate the functions`e^x(1/x-1/(x^2))`

Explanation

To solve the integral of the function \( e^x \left( \frac{1}{x} - \frac{1}{x^2} \right) \), we can break it down into two separate integrals:

\[ \int e^x \left( \frac{1}{x} - \frac{1}{x^2} \right) dx = \int e^x \cdot \frac{1}{x} \, dx - \int e^x \cdot \frac{1}{x^2} \, dx \]

### Step 1: Integrate the first term \( \int e^x \cdot \frac{1}{x} \, dx \)

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