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 simpler parts. Here’s the step-by-step solution:

### Step 1: Split the Integral
We can split the integral into two separate parts:
\[ \int \frac{x+2}{\sqrt{x^2-1}} \, dx = \int \frac{x}{\sqrt{x^2-1}} \, dx + \int \frac{2}{\sqrt{x^2-1}} \, dx \]

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