what is the difference between "summation" and "integration"?

Question

there is a minute difference which i want to know about

Answer 1

A :Summation is the addition of a set of numbers; the result is their sum.. The "numbers" to be summed may be natural numbers, complex numbers, matrices, or still more complicated objects. An infinite sum is a subtle procedure known as a series.

it is represented by the symbol ∑







B: In calculus, the integral of a function is a generalization of the concept of a sum, typically with direct physical interpretation pertaining to area, mass, or volume. The process of finding integrals is integration, in its mathematical meaning. Unlike the closely-related process of differentiation, there are several possible definitions of integration, with different technical underpinnings. They are, however, compatible; any two different ways of integrating a function will give the same result when they are both defined.

it's represented by the symbol ∫

Answer 2

In summation you are simply summing some discrete values...whereas in case of integration you find the area under the curve by considering infinitesimal number of small intervals that makes it continuous...

Answer 3

Summation is over a discrete interval

and integration is over a continuous interval

Answer 4

Summation means adding only discreate typr numbers.For example addition of numbers 1+2+....+100.Here this addition process is Summation

Integraiton means sum all numbers.If we integrate a square that gives the area of that square

Answer 5

I believe that summation is just adding together an unspecified number of sections, while integrating is the summation of an infinite number of infinitely small sections.

Answer 6

Answer is difficult