The sum of an infinite set of rectangles for the purpose of computing the area under a curve is called a Riemann sum. The figure below shows an approach for approximating the area under a curve with rectangles and also indicates some important notation. The area being approximated is for the interval \(a \le x \le b\). The interval is partitioned into n sub-intervals of equal width \(\Delta x\). We then draw n rectangles each having...