Question

integration is a process of involving limits is it true or false​

Answer 1

The given statement is true.

• There is an upper limit and a lower limit in integration.

Let us take an example of a simple integration:

dy = $\int\limits^a_b {x} \, dx$

Here a is the upper limit while b is the lower limit of the integration.

• Integration is used to calculate various quantities like area, volume, etc.
• There are two types of integration: definite integration and indefinite integration.

Answer 2

SOLUTION

TO CHECK

True or False the below Statement :

Integration is a process of involving Limits

EVALUATION

Integration

The actual proces of finding the function, when its derivative or its differentiation is is known, is called integration as anti-derivative. The function to which the integration is applied is called Integrand and the function obtained as a result is said to be Integral.

The Definite Integral will be regarded as a sum or more correctly the limit of a sum of simple elements as their number becomes greater and greater without bound and at the same time as each element becomes infinitesimally small

The Definite Integral is written as

$\displaystyle \int\limits_{a}^{b} f(x) \, dx$

The above Definite Integral geometrically represents the area of the region enclosed by the curve y = f(x), the x axis and the ordinates at x = a and x = b

With usual notation a is called lower limit , b is called upper limit

Hence Integration is a process of involving Limits

The given statement is TRUE

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