Indefinite Integral
What does indefinite integral represent?
For any function F(x) whose derivative is f(x). Indefinite integrals represent the anti-derivative of the functions such that ∫f(x) dx is F(x).
Are Indefinite Integrals similar to Antiderivatives?
Yes, Indefinite Integrals are similar to antiderivative. i.e. for any function f(x) such that its derivative is f'(x) then, ∫f'(x) dx is f(x) is called its indefinite integral or anti derivative.
How do you find the indefinite integral?
Indefinite Integral of any function is calculated using the integral formulas,
∫f(x)dx = F(x) + C
Why do definite integrals not have C?
Definite integrals do not have a constant of integration C as the definite integral has a range in which the value of integration is calculated.
What are the boundaries of an indefinite integral?
Definite Integral is calculated in a range whereas the indefinite integral is not calculated within any boundaries.
What is the indefinite integral of any constant C?
Indefinite integral of constant C is Cx. As ∫ C dx = Cx + D, where D is the constant of integration.
What is the Indefinite Integral of ex?
Indefinite Integral of ex is ex + C it can be calculated using the formula,
∫ex dx = ex + C
What is Difference between Indefinite Integrals and Definite Integrals?
Integrals are also called anti derivatives they can be assumed as the inverse of differentiation. The main difference between Indefinite Integrals and Definite Integrals is Indefinite integrals are evaluated without any limit whereas, definite integrals always have proper limits.
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
Contact Us