How to find the area under a curve and why you would want to

In many situations we may want to find the area under a curve. For example on a velocity-time graph, the area under the curve represents the distance travelled.

Source: BBC

As the concept is developed, the following GeoGebra Worksheets (by gdix) will be beneficial:

1. Area under a curve by rectangles under and then rectangles above: https://tube.geogebra.org/m/254255

2. Area under a curve using Trapeziums (Trapezoidal Rule): https://tube.geogebra.org/m/254381

3. Area under a curve using Simpson's Rule: https://tube.geogebra.org/m/254405