Evaluate : `int (x^(4)+1)/(x^(6)+1)" dx "`

Explanation

To evaluate the integral \( I = \int \frac{x^4 + 1}{x^6 + 1} \, dx \), we will follow a systematic approach.

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int \frac{x^4 + 1}{x^6 + 1} \, dx \]
We can add and subtract \( x^2 \) in the numerator:
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