Evaluate the following integrals: `int1/(sqrt(x))\ dx` (ii) `int1/(x^3)\ dx` (iii) `inta^(3\ (log)_a x)\ dx`

Explanation

Let's evaluate the given integrals step by step.

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

1. **Rewrite the integrand**:
\[ \frac{1}{\sqrt{x}} = x^{-1/2} \]
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