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Integral is a core concept in calculus and mathematical analysis. Usually divided into fixed integral and indefinite integral . Intuitively speaking, for a given positive real-valued function, a definite integral over a real number interval can be understood as the area value of a curved trapezoid formed by a curve, a straight line, and an axis on the coordinate plane (a certain Real value ).
- The motivation for the development of points comes from the needs in practical applications. In actual operation, it is sometimes possible to estimate some unknowns in a rough way, but with the development of science and technology, many times need to know the precise value. For areas or volumes that require simple geometry, a known formula can be applied. For example, the volume of a rectangular parallelepiped swimming pool can be obtained by length × width × height. But if the pool is oval, parabolic, or more irregular, you need to use integrals to find the volume. In physics, it is often necessary to know a physical quantity (such as
- If the integral of a function exists and is finite, then the function is said to be integrable . Generally, there is not necessarily one integrand