Difference between Differentiation and Integration
The difference between Differentiation and Integration are as follows:
Differentiation | Integration |
---|---|
Differentiation involves the Division of component functions | Integration involves the Addition of components of a function |
Reduces the power of the function | Increases the power of the function |
Finds the gradient or slope of the curve | Finds the area under the curve |
Calculated for a specific point in the function’s domain | Calculated for a range of points within the function’s domain |
Derivative of a function is the anti-Integral of the function | Integral of a function is the anti-Derivative of the function |
Differentiation and Integration Formula
Differentiation and Integration are two mathematical operations used to find change in a function or a quantity with respect to another quantity instantaneously and over a period, respectively. Differentiation is an instantaneous rate of change and it breaks down the function for that instant with respect to a particular quantity while Integration is the average rate of change that causes the summation of continuous data of a function over the given period or range. Both are inverse of each other.
In this article, we will learn about what is differentiation, what is integration, and the formulas related to Differentiation and Integration.
Table of Content
- What is Differentiation?
- How to Differentiate a Function
- Differentiation Formulas
- Derivative of Algebraic Functions
- Derivative of Exponential Functions
- Derivative of Logarithmic Functions
- Derivative of Trigonometric Functions
- Differentiation by Parts
- What is Integration?
- How to Integrate Function
- Integration Formulas
- Integration of Algebraic Functions
- Integration of Exponential Functions
- Integration of Trigonometric Functions
- Integration By Parts
- Area Under the Curve
- Differentiation and Integration Formulas
- Properties of Differentiation and Integration
- Difference between Differentiation and Integration
- Solved Examples of Differentiation and Integration Formula
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