Properties of Indefinite Integrals
Indefinite integrals have various properties some of the various properties of Indefinite Integral are,
Property of Sum
The property of the Sum of Indefinite Integral is,
∫ [f(x) + g(x)]dx = ∫ f(x)dx + ∫ g(x)dx
Property of Difference
The property of the Difference of Indefinite Integral is,
∫ [f(x) × g(x)]dx = ∫ f(x)dx × ∫ g(x)dx
Property of Constant Multiple
The property of the Constant Multiple of Indefinite Integral is,
∫ k f(x)dx = k∫ f(x)dx
Some of the other properties of the indefinite integral are,
- ∫ f(x) dx = ∫ g(x) dx if ∫ [f(x) – g(x)]dx = 0
- ∫ [k1f1(x) + k2f2(x) + …+knfn(x)]dx = k1∫ f1(x)dx + k2∫ f2(x)dx + … + kn∫ fn(x)dx
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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