Integrals of Trigonometric Functions Teacher Resources

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Unit Plan
University of California

Uc Davis: Trigonometric Integrals

For Students 9th - 10th
This site lists numerous trigonometric identities and integrals. It also provides several examples of how to solve integrals.
Unit Plan
University of California

Uc Davis: Solutions to Trigonometric Integrals

For Students 9th - 10th
This site gives example problems for solving trigonometric integrals and provides step by step solutions.
Activity
Analyze Math

Analyze Math: Table of Integrals

For Students 9th - 10th
The resource consists of a table of indefinite integrals of functions. Formulas for elementary functions, trigonometric functions, exponential functions, and hyperbolic functions are included.
Activity
Interactive Mathematics

Interactive Mathematics: Basic Trigonometric Form of Integrals

For Students 9th - 10th
Formulas are presented for several types of integrals that contain trigonometric functions. Examples are provided to allow students to practice applying the formulas. Solutions are provided with step-by-step details.
Activity
Harvey Mudd College

Harvey Mudd College: Special Trigonometric Integrals

For Students 9th - 10th
Proves that the cos and sin functions form an orthogonal set, as it applies to Fourier series.
Activity
Interactive Mathematics

Interactive Mathematics: Inverse Trigonometric Form

For Students 9th - 10th
Inverse trigonometric functions are applied to integrals in these examples. Test your ability to work with integrals.
Activity
Wolfram Research

Wolfram Math World: Integral

For Students 9th - 10th
Good site from MathWorld.com on integration with links to the topics and information needed to help the student understand integration. This site gives the fundamental rules of integration including the integration of the trigonometric...
Activity
Interactive Mathematics

Interactive Mathematics: Integration by Trig Substitution

For Students 9th - 10th
Having trouble integrating those tough functions? Try using Trigonometric Substitution. This lesson demonstrates the process and allows for you to practice using the examples provided.
Instructional Video
Sophia Learning

Sophia: Trigonometric Substitution: Lesson 2

For Students 9th - 10th
The concept of using trigonometric functions as a substitution for variable or expressions in an integral is discussed here. This lesson is 2 of 5 in the series titled "Trigonometric Substitution."
Instructional Video
Sophia Learning

Sophia: Trigonometric Substitution: Lesson 5

For Students 9th - 10th
The concept of using trigonometric functions as a substitution for variable or expressions in an integral is discussed here. This lesson is 5 of 5 in the series titled "Trigonometric Substitution."
Instructional Video
Sophia Learning

Sophia: Trigonometric Substitution: Lesson 3

For Students 9th - 10th
The concept of using trigonometric functions as a substitution for variable or expressions in an integral is discussed here. This lesson is 3 of 5 in the series titled "Trigonometric Substitution."
Activity
University of California

University of California: Integrals and the Natural Log

For Students 9th - 10th Standards
This site explains the natural log and its integral. Includes examples.
Activity
Interactive Mathematics

Interactive Mathematics: Other Trigonometric Forms

For Students 9th - 10th
Trigonometric relationships are applied to integrals that contain trig functions. The examples provided are great practice for applying the rules.
Instructional Video
Sophia Learning

Sophia: Trigonometric Integrals: Lesson 3

For Students 9th - 10th
This lesson introduces how to take the integral of sine and cosine. It is 3 of 5 in the series titled "Trigonometric Integrals."
Instructional Video
Sophia Learning

Sophia: Trigonometric Integrals: Lesson 1

For Students 9th - 10th
This lesson introduces how to take the integral of sine and cosine. It is 1 of 5 in the series titled "Trigonometric Integrals."
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Activity
Other

Karl's Calculus Tutor: Methods of Integration

For Students 9th - 10th
This site provides a detailed overview of the various methods of integration. This first page covers the "gist" of the methods available, followed by much more detail on subsequent pages.
Activity
Interactive Mathematics

Interactive Mathematics: The General Power Rule

For Students 9th - 10th
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
Activity
Texas Instruments

Texas Instruments: Using Derive

For Teachers 9th - 10th Standards
In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...
Activity
Interactive Mathematics

Interactive Mathematics: Vital Revision for Fourier Series

For Students 9th - 10th
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Website
Math Medics

S.o.s. Math: Calculus

For Students 9th - 10th Standards
This lesson has links to the various topics dealing with calculus. The student just needs to find the topic then click to go to it.

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