Integration is the inverse operation of differentiation, that is, knowing the derivative function of a function and finding the original function in reverse. In application, the function of integration is not only this, but also widely used in summation, that is, to find the area of curved triangle. This ingenious solution is determined by the special properties of integral.
Mainly divided into definite integral, indefinite integral and other integral. The properties of integral mainly include linearity, sign preservation, maximum and minimum, absolute continuity and absolute value integral.
Integral calculation information:
Arithmetic of integral: Arithmetic of integral, also called the property of integral. The integral is linear. If a function f is integrable, it is still integrable after being multiplied by a constant. If functions f and g are integrable, their sum and difference can also be integrable.
Integrals satisfy some basic properties. The following I represents the interval in the sense of Riemann integral and the measurable set in the sense of Lebesgue integral. The integral is linear. If a function f is integrable, it is still integrable after being multiplied by a constant. If functions f and g are integrable, their sum and difference can also be integrable.
Integral is the core concept in calculus and mathematical analysis. Usually divided into definite integral and indefinite integral. Intuitively speaking, for a given real function f(x), the definite integral on the interval [a, b].