Definite Integrals: Sum

[color=#000000][b]Note: [br][/b]This geometric property of definite integrals only holds true if function [i]h[/i] is integrable over the interval [a,b]. [br]Feel free to adjust the function, sliders, and the locations of the [/color][color=#1e84cc][b]BIG BLUE POINTS[/b][/color][color=#000000] on the graph. [br][br]Can you think of a function [i]h [/i](and values for [i]a, c, [/i]and [i]b[/i]) for which this illustrated property does [b]not [/b]apply?[/color]

Information: Definite Integrals: Sum