Evaluate: (i) `int(x-1)/(sqrt(x+4))\ dx` (ii) `int(x+2)\ sqrt(3x+5)\ dx`

Explanation

Let's evaluate the given integrals step by step.

### (i) Evaluate the integral \( \int \frac{x-1}{\sqrt{x+4}} \, dx \)

**Step 1: Rewrite the integrand**
We can rewrite the integrand by separating the fraction:
\[
\frac{x-1}{\sqrt{x+4}} = \frac{x+4 - 5}{\sqrt{x+4}} = \frac{x+4}{\sqrt{x+4}} - \frac{5}{\sqrt{x+4}}
...