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

Explanation

To solve the integral \(\int \frac{x + 2}{\sqrt{x^2 - 1}} \, dx\), we can break it down into two separate integrals:

\[ \int \frac{x + 2}{\sqrt{x^2 - 1}} \, dx = \int \frac{x}{\sqrt{x^2 - 1}} \, dx + \int \frac{2}{\sqrt{x^2 - 1}} \, dx \]

### Step 1: Solve the first integral \(\int \frac{x}{\sqrt{x^2 - 1}} \, dx\)

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