`intx/(4+x^4)\ dx` is equal to `1/4tan^(-1)x^2` (b) `1/4tan^(-1)((x^2)/2)` (c) `1/2tan^(-1)((x^2)/2)` (d) none of these

Explanation

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

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int \frac{x}{4 + x^4} \, dx \]
Notice that \( x^4 \) can be rewritten as \( (x^2)^2 \). Thus, we can express the integral as:
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