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# Indefinite Integral Calculator

The indefinite integral is the reversing of the process of differentiation. Instead of having a set of limit values, one only finds an equation that would produce the integral due to differentiation without having to use the values to get a definite answer.

## What is Indefinite Integral Calculator?

'**Indefinite Integral Calculator**' is an online tool that helps to calculate the value of the indefinite integrals for a given function. Online Indefinite Integral Calculator helps you to calculate the value of the indefinite integrals in a few seconds.

### Indefinite Integral Calculator

## How to Use Indefinite Integral Calculator?

Please follow the below steps to find the value of the indefinite integrals:

**Step 1:**Enter the function with respect to x in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the value of the indefinite integrals for a given function.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different functions.

## How to Find Indefinite Integral Calculator?

Derivatives are defined as finding the rate of change of a function with respect to other variables. It deals with the variables such as x and y, functions f(x), and the corresponding changes in the variables x and y. The derivative of a function is represented by f '(x).

Integration is defined as the reverse process of differentiation. The integration is represented by** ' ∫ '**

**Indefinite integrals**** **are integrals do not have any upper and lower limits. It is represented as **∫f(x)dx**

There are common functions and rules we follow to find the integration.

**Solved Examples on Indefinite Integral Calculator**

**Example 1:**

Find the integration value of 5x^{3} + 2x^{2} and verify it using the online indefinite integral calculator.

**Solution:**

= ∫(5x^{3} + 2x^{2})

= ∫(5x^{3}) + ∫(2x^{2})

Using multiplication by constant and power rule,

= [5 × (x^{3}^{ + 1} / 3 + 1)] + [2 × x^{2}^{ + 1} / 2 + 1]

= (5x^{4} / 4) + (2x^{3} / 3)

**Example 2:**

Find the integration value of 4x^{2} - 6x^{ }and verify it using the online indefinite integral calculator.

**Solution:**

= ∫(4x^{2} - 6x)

= ∫(4x^{2}) - ∫(6x)

Using multiplication by constant and power rule,

= [4 × (x^{2}^{ + 1} / 2 + 1)] - [6 × x^{1}^{ + 1} / 1 + 1]

= (4x^{3} / 3) - (6x^{2} / 2)

= (4x^{3} / 3) - 3x^{2}

Similarly, you can use the indefinite integral calculator to find the value of indefinite integrals for the following:

- x
^{3}/ 2 - 4x
^{2}+ 6x

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