How to Get Antiderivative on Desmos
Desmos is a powerful online graphing calculator that offers a wide range of features for students and educators. One of the most useful features of Desmos is the ability to find antiderivatives of functions. In this article, we will guide you through the process of how to get antiderivative on Desmos, making it easier for you to understand and solve calculus problems.
Step 1: Access Desmos
First, you need to access Desmos by visiting their website (https://www.desmos.com/) or downloading the app on your smartphone or tablet. Once you are on the platform, you can start exploring its features.
Step 2: Enter the Function
After logging in, you will see a blank graphing area. To find the antiderivative of a function, you need to enter the function into the input field. For example, if you want to find the antiderivative of the function f(x) = x^2, you would type “x^2” into the input field.
Step 3: Use the Integral Command
Once you have entered the function, you can use the integral command to find its antiderivative. To do this, type “int(” followed by the function and then close the parentheses. For our example, the command would be “int(x^2)”. Press Enter, and Desmos will display the antiderivative of the function.
Step 4: Interpret the Result
After pressing Enter, Desmos will show the antiderivative of the function. In our example, the antiderivative of f(x) = x^2 is (1/3)x^3 + C, where C is the constant of integration. This means that the area under the curve of the function f(x) = x^2 from 0 to any other value is equal to (1/3)x^3 + C.
Step 5: Graph the Antiderivative
Desmos allows you to graph the antiderivative of a function along with the original function. To do this, simply type the antiderivative into the input field, separated by a comma from the original function. For our example, you would type “int(x^2), x^2”. This will display both the original function and its antiderivative on the graph.
Conclusion
By following these simple steps, you can easily find the antiderivative of a function on Desmos. This tool is not only helpful for students learning calculus but also for educators who want to demonstrate the concept of antiderivatives in an interactive and engaging way. With Desmos, you can explore the relationship between derivatives and antiderivatives, and gain a deeper understanding of calculus concepts.
