mat331760298 said:1. indefinite integral of 1/[(x^4)(sqrt(9x^2 -1))]
I'm looking for step by step help here. I use x=3secy and dx=3secytanydy to convert the top function to integral of: [3secytanydy]/[(tany)(3secy)^4]
I am not sure if this is right/how to get further
An integral is a mathematical concept that represents the area under a curve in a graph. It is used to calculate the total value of a function over a specific interval or range.
To solve an integral, you can use a variety of methods such as integration by parts, substitution, or partial fractions. The most common method is using the fundamental theorem of calculus, which involves finding the antiderivative of the function and then evaluating it at the upper and lower limits of the integral.
Step by step help is a method of breaking down a problem into smaller, more manageable steps in order to help understand and solve it. In the context of integrals, step by step help involves breaking down the process of solving an integral into smaller, easier to understand steps in order to guide someone through the process.
Showing each step in solving an integral is important because it helps to understand the process and identify any mistakes made along the way. It also allows for a more thorough understanding of the concept and helps to build a strong foundation for future problems.
Some tips for solving integrals include understanding the properties and rules of integration, practicing with a variety of problems, and breaking down the integral into smaller parts if necessary. It is also helpful to double check your work and use resources such as textbooks or online tutorials for additional guidance.