Integration methods are techniques used to calculate the integral of a function, which represents the area under a curve. Common methods include Definite Integrals, Indefinite Integrals, and Numerical Integration, each serving different purposes depending on the function's complexity and the desired accuracy of the result. These methods are essential in various fields such as physics, engineering, and economics, where they help solve problems involving accumulation, area, and total quantities. Understanding these techniques allows for better analysis and interpretation of data, making them a fundamental aspect of advanced mathematics.