Evaluate the integral. {eq}\displaystyle \int \frac{x^3+6x-2}{x^4+6x^2} dx {/eq}
Question:
Evaluate the integral. {eq}\displaystyle \int \frac{x^3+6x-2}{x^4+6x^2} dx {/eq}
Integration:
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.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerGiven:
$$\int{\dfrac{{{x}^{3}}+6x-2}{{{x}^{4}}+6{{x}^{2}}}\text{ d}x}\\ $$
The objective is to evaluate the given integral. We do so by applying...
See full answer below.
Learn more about this topic:
from
Chapter 13 / Lesson 10Learn about integration by partial fractions. Explore how to make partial fractions and then how to integrate fractions. See examples of integrating fractions.