## 2.8. Integrals

To introduce integrals, GeoGebra offers the possibility to visualise lower and upper sums of a function as rectangles. Type the following lines into the input field and press the Enter key after each line.

f(x) = x^2/4 + 2

a = 0

b = 2

n = 5

L = LowerSum[f, a, b, n]

U = UpperSum[f, a, b, n]

By modifying a, b, or n (see Animation; see mode Slider) you can see the impact of these parameters on the upper and lower sum. In order to change the increment of number n to 1 you can right click (MacOS: Apple + click) on number n and select Properties.

The definite integral can be shown using the command Integral[f, a, b], while the antiderivative F is created using F = Integral[f].

Related Topics

2. Examples

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