Evaluate : `int (x^(4))/(x^(2)+1) " dx "`

Explanation

To evaluate the integral \( \int \frac{x^4}{x^2 + 1} \, dx \), we can follow these steps:

### Step 1: Rewrite the integrand
We start with the integral:
\[ \int \frac{x^4}{x^2 + 1} \, dx \]
To simplify this, we can rewrite \( x^4 \) as \( x^4 = (x^2 + 1)(x^2 - 1) + 1 \). Thus, we can express the integrand as:
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