# Trigonometric Substitution Teacher Resources

Find Trigonometric Substitution lesson plans and worksheets

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#### Solving Integrals Using Substitution

The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution makes...

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#### Math Handbook: Calculus

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

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#### The Fundamental Theorem of Calculus

Practice in the mechanics of using substitution in integration is often hard to come by in enough quantity for learners to really wrap their heads around the nuances of the technique. This worksheet set with solution key and worked...

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#### Derivatives of Inverse Trig Functions - Arcsin

Put another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...

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#### Integration by Substitution

Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...

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#### Integrals involving Trig Substitution

Twelfth graders solve derivatives using trig substitution. In this trigonometry instructional activity, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving...

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#### Integrals involving Trig Substitution

Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.

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#### Substitution Method

In this calculus worksheet, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.

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#### Derivatives of the 6 Inverse Trig Functions

Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through substitution.

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#### Even More Calculus

In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the topic,...

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#### Integrals with odd powers of secant and tangent

Twelfth graders solve equations containing powers of sec and tan. In this caclculus lesson, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.

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#### The Substitution Review Problems

In this college level calculus worksheet, students use trigonometric substitution to evaluate the given integrals. The one page worksheet contains eight problems. Answers are not included.

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#### Saxon Math: Algebra 2 (Section 8)

Section eight of the twelve-part series continues the trend towards a higher level of algebraic rigor. Emphasis on graphing and interpreting results reigns supreme in this section, be the graphs piecewise, logarithmic, or radical....

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#### Review for Test on sections 6.2-6.3

Twelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....

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#### Review of Techniques of Integration

Twelfth graders review techniques of integration. In this calculus lesson, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle puzzle...

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#### Test on Chapter 8

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#### Identities and Trigonometric Values

Students solve trigonometric equations. In this precalculus lesson plan, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.

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#### TI-89 Activities for PreCalculus and AP Calculus

Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...

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#### How to Solve Limits by Factoring

See how factoring comes in handy in calculus class. Young mathematicians learn to simplify rational functions through factoring. They go on to use the simplified forms to evaluate limits through substitution.

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#### The Exact Differential

Learners integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Learners integrate...

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#### Integration By Parts

This lesson plan provides an introduction to integration by parts. It helps learners first recognize derivatives produced by the product rule and then continues with step-by-step instructions on computing these integrals. It also shows...