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 5x³ + 2x² and verify it using the online indefinite integral calculator.

Solution:

= ∫(5x³ + 2x²)

= ∫(5x³) + ∫(2x²)

Using multiplication by constant and power rule,

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

= (5x⁴ / 4) + (2x³ / 3)

Example 2:

Find the integration value of 4x² - 6x and verify it using the online indefinite integral calculator.

Solution:

= ∫(4x² - 6x)

= ∫(4x²) - ∫(6x)

Using multiplication by constant and power rule,

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

= (4x³ / 3) - (6x² / 2)

= (4x³ / 3) - 3x²

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

•  x³ / 2
• 4x² + 6x

☛ Related Articles:

• Derivatives
• Integration

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