Definite Integrals

There are two special properties of the definite integral that are explained in the following graphic. Examples are also provided.



Below are exercises related to solving definite integrals algebraically. This formula is known as the Fundamental Theorem of Calculus Part I. Guidelines for evaluating definite integrals using the FTC Part I are below:





Below are exercises that utilize the three different RAM methods.



Below are exercises that utilize what is called the trapezoidal approximation method or the trapezoidal rule. The definition of the trapezoidal rule is shown below:



And then an example of the trapezoidal rule in action:



And an assignment: