Integrals by Graphs
Integrals can be determined roughly by the graphs. Integrands are nothing but the derivatives of the integrals. They give information about the rate of increase/decrease and the maxima and minima of the integrals. Let us consider a graph of a function f(x),
Assuming, F(x) = [Tex]\int f(x)dx[/Tex]
Since the derivative of the function is positive and increasing, the function will increase at an increasing rate, and the graph of the function F(x) will approximately look like a parabola that is rising upwards. The figure below gives a rough idea of the graph of the function F(x).
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