# What is the Difference between Definite and Indefinite Integral?

#### Byccukt

Aug 18, 2023

What Is The Difference Between Definite & Indefinite Integral?

Integrals are the most prominent section in the subject of calculus. And in the following post below, we will focus on the following facts:

• Difference between definite and indefinite integral
• How to calculate integral with an online integral calculator

So let’s get ahead now!

## Definite Integral:

An integral that represents a certain number on the basis of constant limits is known as the definite integral.

Generic Form:

The generic notation of a definite integral is shown below:

abf(x) dx

How To Calculate Definite Integral?

Calculate the value of the following integral:

122x dx

Solution:

By using the basic rules of integration, we will first resolve the indefinite integral as follows:

2x dx=x2+c

Now applying limits to the integral calculated

x2+c|21

=[22+c]-[12+c]

=4+c-1-c

=3

Which is the required answer.

## Indefinite Integral:

An indefinite integral always results in an exact answer after the integration ends.

Generic Form:

f(x) dx

How To Calculate Indefinite Integral?

Simplify the following integral

3×2+2x+1

Solution:

Here we have to use the power rule of integration that is also applied by the integral calculator to evaluate the given integration problems.

The power rule states that:

(a/(n+1)) * x^(n+1)

Now by applying this rule to the given question:

∫(3x^2 + 2x + 1) dx

= (3/(2+1)) * x^(2+1) + (2/(1+1)) * x^(1+1) + (1/(0+1)) * x^(0+1) + C

= x^3 + x^2 + x + C

C is the integration constant.

What Is an Integral Calculator?

This is no doubt an advanced-level tool that is specifically developed by calculatored.com. It helps in evaluating integrations in moments and with 100% accuracy. Let us teach you the best way to utilize it!

• Type CALCULATORED.COM on Google
• After you land on the official site page, type INTEGRAL CALCULATOR in the search bar
• Select the type of the integral
• Now enter the function and tap Calculate
• You will instantly get the answer there on your laptop or mobile screen

The reasons why this tool is widely utilized by professionals and students include:

• Fast results
• Accuracy
• Free of cost usage
• Sharable and downloadable result file
• No registration required

So make your integration simple and fast with the use of this online integration by parts calculator. It helps you to integrate a function partly by part so that you may understand complementary how it is done.

Conclusion:

Learning integration techniques can help you a lot in analyzing different statistical behaviors. And if you feel any difficulty in resolving integrals, the above article will help you a lot in understanding the basic differences in different types of integrals.

Besides if you feel any trouble in calculating integration-related problems, using the integration calculator will assist you for sure. It automates and speeds up your computations so that you may get a grip on this calculus concept completely.