Evaluate: `int1/(x\ (x^n+1))\ dx` (ii) `int1/(x(x^5+1))\ dx`

Explanation

To evaluate the integral \( I = \int \frac{1}{x(x^n + 1)} \, dx \), we will follow a systematic approach.

### Step-by-Step Solution:

1. **Rewrite the Integral**:
\[ I = \int \frac{1}{x(x^n + 1)} \, dx \]
...