Basic Properties of Definite Integrals

Definite integrals are fundamental to calculus, offering a precise method for determining the accumulated quantity of a function over a specific interval. One of their primary attributes is their ability to compute the exact area under a curve within defined bounds. This mathematical concept plays a pivotal role in various fields, from physics to economics, providing a means to analyze and interpret continuous data. Understanding the basic properties of definite integrals, such as linearity, additivity, and the fundamental theorem of calculus, forms the cornerstone for advanced applications in calculus and beyond.