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:

1. Enter the function into the Desmos input bar.
2. Click on the “f(x)” button to graph the function.
3. 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.

1. Enter the function into the Desmos input bar:

f(x) = x^2

2. Click on the “f(x)” button to graph the function:

[Image of the graph of f(x) = x^2]

3. 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.