The Process of Integration in Calculus

Integration in calculus is the process of finding the accumulated area under a curve. This is done by taking the antiderivative of a function. The result is a new function, called the indefinite integral. In symbol form, this process is denoted as:

$$\int f(x) , dx$$

Here, $f(x)$ represents the function we want to integrate, and $dx$ indicates the variable of integration. This process is performed using various techniques, such as substitution, integration by parts, and trigonometric substitution, to name a few. Integration is a fundamental concept in calculus and has numerous real-world applications.