Ch 18: Approximating Definite Integrals

About This Chapter

Watch video lessons and learn about the processes involved in approximating definite integrals using a step-by-step method. The quizzes that follow each lesson can help you gauge your comprehension of the materials.

Approximating Definite Integrals - Chapter Summary and Learning Objectives

The definite integral of a function is important for many applications which utilize calculus. These can be found in a number of fields, most notably the sciences and engineering. The definite integral is similar to the antiderivative and indefinite integral of a function. The main difference is that the definite integral is a real number value, while antiderivative and indefinite integral values represent an infinite number of functions differing by a single constant. You'll begin to understand more about definite integrals in these lessons. in them, you'll learn things like:

  • How to identify Riemann sums
  • The process of drawing left, right and middle Riemann sums
  • How to understand the linear properties of definite integrals
  • What the average value theorem is and how it works

The lessons in this chapter give you practice questions and quizzes that can test your comprehension of the topics. Each component is divided into manageable video lessons to help you understand the fundamental elements of approximating definite integrals.

VideoObjective
How to Identify and Draw Left, Right and Middle Riemann SumsLearn techniques for identifying and drawing different types of sums.
What is the Trapezoid Rule?Define the trapezoid rule and study its benefits.
Linear Properties of Definite IntegralsAnalyze the linear properties of definite integrals.
Average Value TheoremGain experience using the average value theorem.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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