: Because they always divide the remaining fraction by two, the process theoretically never ends.
As ( n \to \infty ), the rectangles become infinitely thin, and their total area approaches the exact area under the curve. 5.2 calculus
: The integral of a sum/difference is the sum/difference of the integrals. : Because they always divide the remaining fraction
: If the limits of integration are the same, the area is zero. integral from a to a of f of x space d x equals 0 Reversed Limits the rectangles become infinitely thin