Integration of Cube Root Function
To integrate the cube root function (f(x) = ∛x), we can use the power rule of integration.
The cube root function can also be expressed as f(x)= x1/3.
Integrating f(x) with respect to x gives us:
Using the power rule for integration, we add 1 to the exponent and divide by the new exponent:
⇒ 3/4x4/3 + C
So, the integral of the cube root function is (3/4x4/3 + C), where (C) is the constant of integration.
Cube Root Function
Cube root of a number is denoted as f(x) = ∛x or f(x) = x1/3, where x is any real number. It is a number which, when raised to the power of 3, equals to x. The cube root function is the inverse of the cubic function f(x) = x3. A cube root function is a one-one and onto function.
In this article, we will learn about the meaning of the Cube root function, differentiation, and integration of the cube root function, domain and range of the cube root function, properties of cube root functions, and graphing cube root function.
Table of Content
- What is Cube Root Function?
- Domain and Range of Cube Root Function
- Asymptotes of Cube Root Function
- Graphing Cube Root Functions
- Cube Root Function vs Square Root Function