Evaluate: `int(x+1)/(sqrt(x^2+1))\ dx`

Explanation

To evaluate the integral \(\int \frac{x+1}{\sqrt{x^2+1}} \, dx\), we can break it down into two separate integrals. Here’s the step-by-step solution:

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

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