Geometry and trigonometry are used to determine the areas of simple figures such as triangles and circles. But how are more complex shapes measured? Calculus comes to the rescue with a technique called integration, which adds the simple areas of many tiny quantities.
We begin by discussing what a Partial Fraction is, how it can be used to solve integrals, and why it is a central topic in Calculus. Next, we solve several practical calculus problems that give students practice with Integration by Partial Fractions.
The fundamental theorem of calculus is used to solve definite integrals of these types in a step-by-step fashion. The problems are sequenced in increasing difficulty to promote understanding of these topics.