Introduction to Antiderivative Calculator With Steps:
Antiderivative calculator is an online tool that helps you find the integral value function in seconds. Our tool evaluates different types of functions, whether they are exponential, trigonometric, or polynomial.
It is a very useful tool that simplifies the process of finding antiderivatives and provides accurate results without any man-made mistakes.
What is an Antiderivative?
Antiderivative is a process of finding the absolute value of an integral function over an unbounded curve. It is also known as the indefinite integral because it is the inverse differentiation process.
Given a function f(x) and its antiderivative F(x) is a function such that when F(x) is differentiated with respect to x, it yields the original function (x). Mathematically, if 𝐹′(𝑥)=𝑓(𝑥), where 𝐹′(𝑥)denotes the derivative of F(x).
$$ \int f(x)\; dx \;=\; F(x) + C $$
How to Calculate Antiderivative?
For the calculation of antiderivative problems, we apply the basic integration rules and techniques systematically. Let's see the evaluation process for finding the antiderivative function using the stepwise method.
Step 1: Identify the function f(x) for which you want to find the antiderivative.
Step 2: Apply the basic integration rules for a given antiderivative function solution, or use different methods, such as the power rule, substitution method, integration by parts, etc.
Step 3: After integrating the given function, add the Constant of Integration +C, and you will get the solution for the antiderivative function.
You can also use our antiderivative calculator with steps to speed up your process. It provides detailed solutions with steps and accurate results in seconds.
Practical Example of an Antiderivative Problem:
Let us understand the above antiderivative function with the help of a practical example with the solution for better understanding.
Example: Find ∫(3x2 - 2sin(x) + 5) dx.
Solution:
Identify the given function and separate the F(x) such as:
$$ \int(3x^2 - 2sin(x) + 5)\; dx \;=\; \int 3x^2 dx - \int 2 sin(x)dx + \int 5 dx $$
One by one integrate the given function with respect to x with the help of basic rules of integration.
$$ \int 3x^2\; dx \;=\; 3. \frac{x^3}{3} + C \;=\; x^3 + C $$
$$ \int 2 sin(x)\; dx \;=\; -2cos(x) + C $$
$$ \int 5\;dx \;=\; 5x + C $$
After solving the given antiderivative function we get the solution as,
$$ \int (3x^2 - 2sin(x) + 5)\; dx \;=\; x^3 - 2cos(x) + 5x + C $$
How to Use the Antidifferentiation Calculator?
Anti derivative calculator has a simple layout that helps users find solutions to the given integral problem. You just need to put your antiderivative problem in this antiderivative calculator and immediately get the result. These steps are:
- Enter the antiderivative function that you want to evaluate in the input field.
- Check the input function you are given before clicking on the calculate button to get the result of the antiderivative problems.
- Click the “Calculate” button to find the solution to the antiderivative problems.
- Click the “Recalculate” button to evaluate more examples of the antiderivative method and check the accuracy of the solution.
Final Result of the Antiderivatives Calculator:
Anti differentiation calculator provides you with the solution of antiderivative questions when you click on the calculate button. It may include as:
In the Result Box:
When you click on the result button you get the solution of the antiderivative problem using the basic method of integral.
Possible Steps Box:
Click on the steps option so that you get the solution to the integral function in steps.
Advantages of Using an Anti Derivative Calculator
Antidifferentiation calculator has tons of advantages that you get when you use it to evaluate the given antiderivative problem with a solution easily. These advantages are:
- Antiderivative calculator with steps is a trustworthy tool that always provides you with an accurate solution to an antiderivative problem.
- It is a speedy tool that helps you evaluate antiderivative problems with solutions in a few seconds without any delay.
- Antiderivatives calculator is a learning tool that helps you to enhance your concept about antiderivative functions without going to any teacher.
- It is a manageable tool that solves antiderivative function problems with various methods without taking any external effort.
- Anti differentiation calculator is a free tool that allows you to use it for the calculation of antiderivative function without charging a fee.
