How to Get Antiderivative on Desmos Example Applications of Antiderivatives Conclusion
In mathematics, an antiderivative is a function whose derivative is the original function. Antiderivatives are used to find the area under a curve, the volume of a solid of revolution, and the work done by a force over a distance.
Desmos is a free online graphing calculator that can be used to find antiderivatives. To find the antiderivative of a function on Desmos, follow these steps:
- Enter the function into the Desmos input bar.
- Click on the “f(x)” button to graph the function.
- Click on the “Integrate” button to find the antiderivative of the function.
The antiderivative will be displayed in the output bar.
Find the antiderivative of the function f(x) = x^2.
- Enter the function into the Desmos input bar:
f(x) = x^2
- Click on the “f(x)” button to graph the function:
[Image of the graph of f(x) = x^2]
- Click on the “Integrate” button to find the antiderivative of the function:
[Image of the antiderivative of f(x) = x^2]
The antiderivative of f(x) = x^2 is F(x) = (1/3)x^3 + C, where C is a constant of integration.
Antiderivatives have a wide range of applications, including:
- Finding the area under a curve
- Finding the volume of a solid of revolution
- Finding the work done by a force over a distance
- Finding the center of mass of a region
Antiderivatives are a powerful tool that can be used to solve a variety of problems. Desmos is a free online graphing calculator that can be used to find antiderivatives easily and quickly.
