Evaluate the following integral: `int_0^1(1+x^2)/(x^4+x^2+1)dx`

Explanation

To evaluate the integral \( I = \int_0^1 \frac{1+x^2}{x^4+x^2+1} \, dx \), we will follow a systematic approach.

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int_0^1 \frac{1+x^2}{x^4+x^2+1} \, dx \]
Notice that we can split the fraction:
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