# Ch 63: MTEL Math: Area Under the Curve & Integrals

In this chapter, you will review Riemann sums, the trapezoid rule and the average value theorem. Chapter lessons also teach you how to find indefinite integrals and arc lengths of functions in preparation for the MTEL Mathematics exam.

## MTEL Math: Area Under the Curve & Integrals - Chapter Summary

The lessons of this chapter will provide you with a review of the different processes involved in finding the area under a curve and integrals. In them, our professional instructors will guide you through these procedures and demonstrate how to solve example problems so that on test day you will be able to accurately answer questions regarding:

• How to identify, draw and use Riemann sums
• Finding the limits of Riemann sums
• The trapezoid rule
• Integrals and calculating integrals
• Identifying the properties of definite integrals
• The average value theorem
• Anti derivatives and indefinite integrals
• Calculating arc lengths of functions

These videos are mobile device-compatible so that if you have access to an Internet-ready mobile device, you won't have to limit your studies to your time in front of a computer. In addition to these lesson videos you may read the lesson transcripts to reinforce your understanding of the information presented in them. If at any time during this chapter you develop a questions regarding one of the topics in these lessons, be sure to ask our professional instructors for assistance via the teacher tabs.

### MTEL Math: Area Under the Curve & Integrals Objectives

Individuals take the Massachusetts Tests for Educator Licensure (MTEL) Mathematics exam to demonstrate that they possess the mathematical skills and knowledge needed to teach math students. During this test, you will be tasked with answering 100 multiple-choice questions and two open-response items in four hours. Sixteen percent of the test will be composed of multiple-choice questions about trigonometry, calculus and discrete mathematics. This fifth subarea of the same name will include a few questions on integral calculus.

10 Lessons in Chapter 63: MTEL Math: Area Under the Curve & Integrals
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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