# Find the integral. {eq}\displaystyle \int \frac{x}{1+x^4} \text{ d}x {/eq}

## Question:

Find the integral.

{eq}\displaystyle \int \frac{x}{1+x^4} \text{ d}x {/eq}

## {eq}U{/eq}-substitution Method:

The {eq}u{/eq}-substitution method is one of the integration techniques applied to composite functions. In this method, we substitute an arbitrary variable to the integrand to simplify it. Then, we take the integral of the rewritten function using basic integration rules. Lastly, we substitute back the original function that was replaced by the variable.

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Given:

$$\int \left[ \frac{x}{1+x^4} \right] \ \text{d}x \\$$

To evaluate the given integral, we apply {eq}u- {/eq} substitution method by...