This 3-credit, Level 5 course is designed to serve two purposes. It contains a careful development of the Riemann integral for functions that are bounded on a closed interval, and the most important result about integration, Fundamental Theorem of Calculus, which states that integration and differentiation are inverse operations in a certain sense. The course also includes some useful results on Improper Integrals for functions that are unbounded or are defined on an unbounded interval.