`int(x+1)/(sqrt(2x+3))dx`

Explanation

To solve the integral \(\int \frac{x+1}{\sqrt{2x+3}} \, dx\), we can follow these steps:

### Step 1: Rewrite the Integral
We start by rewriting the integrand:
\[ \int \frac{x+1}{\sqrt{2x+3}} \, dx = \int \frac{x}{\sqrt{2x+3}} \, dx + \int \frac{1}{\sqrt{2x+3}} \, dx \]

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