Please explain about integration

Hello

Integration is a process in calculus that finds the total accumulation of a quantity , often interpreted as the area under a curve .

It has two main types:

1. Indefinite Integral : Represents a family of functions (antiderivatives) without limits . It gives a general formula with a constant .

f(x)  dx = F(x) + C

2. Definite Integral : Calculates the area under the curve between two specific limits,   a and b .

f(x) dx = F(b) - F(a)

Integration has various methods (like substitution and parts) and is used in many applications like finding areas , volumes and solving differential equations .

Hope this helps you .

Thank you

A definition found in calculus is referred to as the reverse procedure in differentiation, and often mentioned as integration.You can Imagine a function, say f(x)=2x. Once the function is differentiated, this gives its derivative f(x)=2.In conclusion Integration, is the process of obtaining the original function f(x) from its derivative f'(x). Here, the integral of 2 would be 2x + C and c= constant of integration .There are 2 Types of Integrals which are Indefinite integral and definite integral. In indefinite we find the antiderivative of a function without any particular limits but in definite integral we find a integral within the function.

There are many applications of Integration like it is used to determine areas and volumes under a curve. It is used in physics , engineering's and also more. Integration

Integration is basically used to add larger values in mathematics when calculation can not be performed on general operations. Also, it is used to find the whole value by summing up the parts. The concept of integration helps to solve following problems

. To find the problem function when it's derivatives are given..

. To find the area bounded by the graph of a function under certain constraints.

There are basically two types of integration

. Definite integral

. Indefinite integral

An integral that contains both lower and upper limits is known as definite integral.

Indefinite integral are defined without upper limit .

Dear aspirant !

Hope you are doing well !

Combining two elements is known as integration.

integration is the process of combining two or more things to create a whole . For businesses, the term integration often refers to software or system integration, which means bringing together multiple business systems to operate as a collaborative unit. This whole phenomenon is called as integration.

Thanking you