This document discusses numerical methods for approximating integrals, including left- and right-hand sums, trapezoid sums, and midpoint sums. It provides a table to calculate these approximations for a given integral using different values of n and compares the errors. It also mentions Simpson's rule and provides context on estimating errors for trapezoid and midpoint sums based on the maximum second derivative on the interval. Finally, it provides a link for further review of numerical integration methods.