Original
We want to compute the area between the curve {{MATH_8}} and the
horizontal axis on the interval {{MATH_9}}:
{{CMD_10}}
{{ENV_11}}
{{CMD_12}}
One way to do this would be to approximate the area with
rectangles. With one rectangle we get a rough approximation:
{{CMD_13}}
{{ENV_14}}
{{CMD_15}}
Two rectangles might make a better approximation:
{{CMD_16}}
{{ENV_17}}
{{CMD_18}}
With even more, we get a closer, and closer, approximation:
{{CMD_19}}
{{ENV_20}}
{{CMD_21}}