integraalidega

Integraalidega, commonly referred to as integrals in English, are a fundamental concept in calculus. They are primarily used to calculate the area under a curve, the volume of solids, and as a way to reverse the process of differentiation. The process of finding an integral is called integration. There are two main types of integrals: indefinite integrals and definite integrals.

An indefinite integral, also known as an antiderivative, represents a family of functions whose derivative is the original function. It is denoted by the integral symbol ∫ followed by the function and 'dx', indicating the variable of integration. For example, the indefinite integral of 2x is x² + C, where C is the constant of integration.

A definite integral, on the other hand, calculates a specific numerical value. It represents the net area between a function's graph and the x-axis over a specified interval. Definite integrals are defined by limits of integration, a lower limit and an upper limit, placed above and below the integral symbol. The evaluation of a definite integral typically involves finding the antiderivative and then subtracting the value of the antiderivative at the lower limit from its value at the upper limit. This is often referred to as the Fundamental Theorem of Calculus. Integrals have wide-ranging applications in physics, engineering, economics, and many other scientific disciplines.