Google Classroom
GeoGebraGeoGebra Classroom

Simpson's rule: finding the area under a parabola

The area under a parabola between two x-values can be found using a weighted average of the y-values at these points with y-value at the midpoint: This splits the area into two strips of width h. The total area is: In the diagram below the coefficients of the quadratic can be varied with the sliders and the points P and Q can be moved along the x-axis.