Differential vs Integral Calculus
The key differences between Differential calculus and Integral calculus are listed in the following table.
Differential Calculus | Integral Calculus |
---|---|
The differential calculus is the branch of mathematics that deals with derivatives. | The integral calculus is the branch of mathematics that deals with integrals. |
The symbol of derivatives is d/dx. | The symbol of integral is ∫. |
It gives the slope of the curve. | It gives the area under the curve. |
The differentiation is opposite operation of integration. | The integration is opposite operation of differentiation. |
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Integral Calculus
Integral Calculus is the branch of calculus that deals with topics related to integration. Integrals are major components of calculus and are very useful in solving various problems based on real life. Some of such problems are the Basel problem, the problem of squaring the circle, the Gaussian integral, etc. Integral Calculus is directly related to differential calculus.
This article is a brief introduction to Integral Calculus, including topics such as fundamental theorems of integral calculus, types of integral, and integral calculus formulas, definite and indefinite integrals with their properties, applications of integral calculus, and their examples.
Table of Content
- What is Integral Calculus?
- Fundamental Theorems of Integral Calculus
- Integral Definition
- Types of Integrals
- Definite Integrals
- Definite Integral Formula
- Properties of Definite Integrals
- Indefinite Integrals
- Properties of Indefinite Integrals
- Improper Integrals
- Multiple Integrals
- Integral Calculus Formulas
- Methods to Find Integrals
- Applications of Integral Calculus
- Differential vs Integral Calculus
- Integral Calculus Examples
- Practice Problems on Integral Calculus
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