Graph of the integral function
Drag the point X to see how the value of the integral function F(x) changes. Try to predict where F(x) is increasing and where F(x) is decreasing. What happens if you change the value of a? You can trace the point P on the graph of F(x) by right-clicking on it and selecting "Trace On" from the action list. To reset the construction, click the reset button at the upper right corner of the applet.
Bill Higgins, 6 December 2012, Created with GeoGebra