Home > APCALC > Chapter 3 > Lesson 3.4.2 > Problem3-163

3-163.

Write and evaluate a Riemann sum to estimate the area under the curve for $1 ≤ x ≤ 8$ using $10$ left endpoint rectangles of equal width given $y = \frac { 4 } { x }$.

General setup for left endpoint Riemann sum:

$\displaystyle\sum_{i=0}^{n-1}\Delta xf(a+\Delta xi)$

$\Delta x$ will be a fraction.