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.

Answer and Explanation:

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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...

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Integration Problems in Calculus: Solutions & Examples

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Chapter 13 / Lesson 13
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Learn what integration problems are. Discover how to find integration sums and how to solve integral calculus problems using calculus example problems.


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