Difference Between Indefinite Integral and Definite Integral
Aspect | Indefinite Integrals | Definite Integrals |
---|---|---|
Definition | Integration of a function without any bounds. | Integration of a function over a specific interval (bounded by lower and upper limits). |
Notation | ∫ f(x) dx = F(x) + C | ∫abf(x) dx = F(b) – F(a) |
Result | Gives a family of functions (general antiderivative). | Gives a specific numerical value. |
Use Case | Used to find the general form of the antiderivative of a function. | Used to find the exact value of the accumulated quantity, such as area under a curve, between specific limits. |
Article Related to Integration Formulas:
Integration Formulas
Indefinite Integrals: The derivatives have been really useful in almost every aspect of life. They allow for finding the rate of change of a function. Sometimes there are situations where the derivative of a function is available, and the goal is to calculate the actual function whose derivative is given.
In this article, we will discuss Indefinite Integrals, graphical interpretation, formulas, and properties.
Table of Content
- What are Indefinite Integrals?
- Graphical Interpretation of Integrals
- Integrals by Graphs
- Calculating Indefinite Integral
- All Formulas of Indefinite Integrals
- Properties of Indefinite Integrals
- Property of Sum
- Property of Difference
- Property of Constant Multiple
- Difference Between Indefinite Integral and Definite Integral
- Indefinite Integrals Examples
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