Question

What are integrals? Define in detail and write the types of integral?​

Answer 1

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In calculus, an integral is the space under a graph of an equation (sometimes said as "the area under a curve"). An integral is the reverse of a derivative, and integral calculus is the opposite of differential calculus. ... The word "integral" can also be used as an adjective meaning "related to integers".

There are basically Two types of integrals:-

1. Definite Integral

2. Indefinite Integrals

Learn More:-

Integration occurs when separate people or things are brought together, like the integration of students from all of the district's elementary schools at the new middle school, or the integration of snowboarding on all ski slopes. You may know the word differentiate, meaning "set apart." Integrate is its opposite.

The notation for the indefinite integral was introduced by Gottfried Wilhelm Leibniz in 1675. He adapted the integral symbol, ∫, from the letter ſ (long s), standing for summa (written as ſumma; Latin for "sum" or "total").

Answer 2

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What is an Integral?

In calculus, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the fundamental objects of calculus. Other words for integral include antiderivative and primitive.

Types of Integrals:-

There are really two types of integrals that we'll be looking at in this chapter :

1. Indefinite Integrals, and
2. Definite Integrals.

Indefinite Integrals: It is an integral of a function when there is no limit for integration. It contains an arbitrary constant.

Definite Integrals: An integral of a function with limits of integration. It does not contain any constant of integration.