Evaluate the integral. {eq}\displaystyle \int \frac{x^3+6x-2}{x^4+6x^2} dx {/eq}


Evaluate the integral. {eq}\displaystyle \int \frac{x^3+6x-2}{x^4+6x^2} dx {/eq}


Integration refers to the mathematical operation of determining the sum of area covered by the graph of a function and its boundaries (if there are any). If there are no bounds, a general solution is provided. This process is done for indefinite integrals, such as the one given in the problem.

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$$\int{\dfrac{{{x}^{3}}+6x-2}{{{x}^{4}}+6{{x}^{2}}}\text{ d}x}\\ $$

The objective is to evaluate the given integral. We do so by applying...

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How to Integrate Functions With Partial Fractions


Chapter 13 / Lesson 10

Learn about integration by partial fractions. Explore how to make partial fractions and then how to integrate fractions. See examples of integrating fractions.

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