Integrating 6/x^2 refers to finding the antiderivative or the original function from which 6/x^2 was derived. This process is also known as indefinite integration.
Integrating 6/x^2 is important because it allows us to solve various real-world problems, such as calculating areas, volumes, and work done. It is also a fundamental concept in calculus and is used in many applications in physics and engineering.
The steps for integrating 6/x^2 are as follows:
Yes, there are other methods for integrating 6/x^2, such as substitution, integration by parts, and partial fraction decomposition. These methods may be more efficient or necessary in certain cases, but the power rule is the most common and straightforward method for integration of 6/x^2.
Yes, some common mistakes to avoid when integrating 6/x^2 include forgetting to add the constant of integration, not simplifying the integrand before applying the power rule, and making arithmetic errors. It is also important to check the solution by differentiating it to ensure it matches the original function (6/x^2).