3 Desmos useful techniques

Here are some useful techniques when using Desmos.

3.1 Removing clutter

By selecting a few options in Desmos you can create really nice looking diagrams.

3.1.1 \(y = sin(x)\) with no formating

This is was made by just entering the equation \(y = sin(x)\) into Desmos, saving it and copying the link https://www.desmos.com/calculator/qq0fjs6jvd.

3.1.2 \(y = sin(x)\) with formating

To get this use the embed link https://www.desmos.com/calculator/usu3h5pyis?embed and the options shown below.

To limit the domain of the function we write. \(y = sin(x) \{-2\pi \le x \le 2\pi\}\) which can be obtained by typing y=sin(x){2pi<=x<=2pi} into the Desmos graphing calculator.

To streamline the look of the diagram the following options were used.

• large font
• deselect grid
• change x axis limits
• change y axis limits

You can get these by clicking on the spanner in the top right hand corner.

3.2 Showing areas under graphs

The following equations were used to make this.

• \(f(x) = x^2 \{ x > 0\}\) by typing f(x) = x^2 {x > 0}
• \(\int_a^b f(x) dx\) by typing int f(x) dx and adding a and b to the limit boxes and selecting add sliders to all.
• To shade the region under the graph add \(0 \le y \le f(x) \{a \le x \le b\}\) by typing 0 <= y <= f(x) {a <= x <= b}

You can then change the sliders to change the shaded area. Desmos even computes the value of the integral.

This is what the list of equations looks like on Desmos.