Today we will learn about the nature of indefinite integral .
First, let’s take a look at what indefinite points are and what is defined.
definition: If the derivative function of derivative function F(x) on interval A is f(x), both: for any X belongs to A, there is the following form:
Let's take a look at the theorem of the original function : If function f(x) is continuous on interval A, then there is a derivative function F(x) on interval A. The meaning of the sentence
is that continuous function must have the original function.
Next, let's take a look at the definition of indefinite integral: On interval A, the original function of the function f(x) with any constant term is called f(x) or f(x)dx on interval A, as follows:
After understanding the definition of indefinite integral, let's look at the properties of indefinite integral:
Indefinite integral has two main properties. The first property is called the addition property of indefinite integral, that is, to find the integral of the sum of two functions at the same time, you can find the integral of the two functions separately, and the second is called the number multiplication property of indefinite integral, that is, when you find a number and a function at the same time, you can put this constant outside the integral, and directly find the integral of the function.
Let’s take a look at how to use these two properties in detail
The two questions solved above contain the use of two properties. You can take a good look. If you don’t understand, you can leave a message and reply directly.
