How to Find the Area Under a Graph Using GeoGebra

You can use GeoGebra to find the area under the graph of a function. Below are two different methods for this.

Note! In GeoGebra instruction 1, you’ll always get the correct area under the graph, but the area you actually see in the Graphics View may not look like the area under the graph. This is because the part of the function that was supposed to be under the x-axis, is instead reflected by the x-axis using the abs(x) function in Algebra View. We’ll look at how to hide the drawn area in that instruction as well.

GeoGebra Instruction 1

1.
Open Algebra View under GeoGebra icon View in GeoGebra icon Menu.
2.
First, save your expression. Type f(x) = the expression in Algebra View.
3.
Type

Integral(<Function>, <Start x-Value>, <End x-Value>)

Fill in abs(f(x)) as <Function>, the lowest x-value you want to include in the area as <Start x-Value> and the highest x-value as <End x-Value>. Press Enter.

4.
If you want to hide the drawn area, click the orange dot to the left of the command text.

Screenshot of GeoGebra showing the area under a graph

GeoGebra Instruction 2

1.
Open Algebra View and Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
First, save your expression. Type f(x) = the expression in Algebra View.
3.
Select Function Inspector GeoGebra icon in Toolbar, and then click the graph.
4.
A window will show up where you can insert the lower endpoint of the integration interval in the left box, and the upper endpoint of the integration interval in the right box. Press Enter. Now the area is displayed.

Screenshot of GeoGebra showing the area under a graph in the function inspector

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