What is Integral Calculus?
The process of finding the function from its derivative is called anti-derivative which is also referred to as Integration. In this process, the result obtained after the integration is called the integral. This integral and integration hold many properties and the study of these properties in the branch of mathematics is called Integral Calculus. Various methods in Integral Calculus are used in many ways such as to find the areas and volumes, approximate solutions of equations, calculate complex interactions of physical objects in our surroundings, etc.
Integral Calculus Definition
Integral calculus is a branch of mathematics focused on the concepts of integration. It involves finding the integral of a function, which represents the accumulation of quantities and can be interpreted as the area under a curve defined by the function over a specific interval
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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