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# Antiderivative Calculator

Enter the function, variable, upper, and lower bound limit. Select definite or indefinite integral option. Hit the ** Calculate** button to find the antiderivative using antiderivative calculator.

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## Antiderivative calculator with steps

Online integral (antiderivative) calculator is a tool that evaluates the integral of a given function with respect to a variable. It also calculates the definite as well as indefinite integral for the given function.

This integral calculator also shows the steps of integration for every calculation.

## What is an integral?

An integral can be defined as,

**“**An integral assigns numbers to functions in a way that can define volume, area displacement and even probability. Integral is inverse function of derivative, which is why, it is generally referred to as antiderivative.**”**

The process of finding integral is known as integration. It is used to find the area under the curve. The symbol of integration or antiderivative is **∫.**

## How to evaluate an integral?

** Example: **Evaluate the following integral.

**∫ (6x + 2) dx**

**Solution:**

**Step 1: **Apply linearity to the function.

**=** **6** **∫ x dx + 2 ∫ 1 dx** ------- **1**

**Step 2: **Solve **6** **∫ x dx **and **2** **∫** 1 dx separately and place the values in above equation (1).

**6 ∫ x dx**

Apply power rule.

**6 ∫ ****x dx ****= 6****x**^{2}/**2** **= 3x ^{2}**

**2** **∫** 1 dx

Apply constant rule **∫a dx = ax + C.**

**2 ∫ 1 dx = 2x + C**

**Step 3: **Put the solved integrals in equation (1).

**= 6 ∫ x dx + 2 ∫ 1 dx**

**= 3****x ^{2} + **

**2x + C**

The integral solver above performs all of these steps and shows you the complete calculation for your ease.