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Worksheet
Curated OER

Integrating Special Functions

For Students 11th - Higher Ed
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Lesson Plan
Curated OER

Fun Times with Integrals

For Teachers 11th - 12th
Students study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...
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Worksheet
Curated OER

Integration By Parts

For Students 11th - Higher Ed
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Lesson Plan
Curated OER

Worksheet 32 - Antiderivative

For Teachers Higher Ed
In this antiderivative worksheet, students determine the antiderivative by using substitution. They evaluate integrals. This one-page worksheet contains approximately six multi-step problems.
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Worksheet
Curated OER

Even More Calculus

For Students 12th
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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Worksheet
Curated OER

The Substitution Review Problems

For Students Higher Ed
In this college level calculus activity, students use trigonometric substitution to evaluate the given integrals.  The one page activity contains eight problems.  Answers are not included. 
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Worksheet
Curated OER

Algebraic Substitution for Electric Circuits

For Students Higher Ed
In this physics worksheet, students use Ohm's law to solve for voltage, current and resistance. They answer 13 problem solving questions using Ohm's law.
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Worksheet
Curated OER

Integration by Parts and/or Integration Substitution

For Students Higher Ed
In this integration by parts worksheet, students evaluate integrals by using parts. This two-page worksheet contains three problems.
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Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 12th
Twelfth graders solve derivatives using trig substitution. For this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
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Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 11th - 12th
Students define integrals and list the trig values. In this calculus activity, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Lesson Plan
Curated OER

Integrals with odd powers of secant and tangent

For Teachers 12th
Twelfth graders solve equations containing powers of sec and tan. In this caclculus instructional activity, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
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Worksheet
Curated OER

Proof That One Equals Zero (Using Calculus)

For Students 11th - 12th
In this proofs worksheet, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
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Lesson Plan
Curated OER

Integrals with Odd Powers of Secant and Tangent

For Teachers 11th - 12th
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They...
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Lesson Plan
Curated OER

Review of Techniques of Integration

For Teachers 12th
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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AP Test Prep1:38
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1
Flipped Math

Calculus AB/BC - Selecting Techniques for Antidifferentiation

For Students 10th - 12th
Here's the antidote to ignorance on antiderivatives. Pupils try a set of problems that require finding the antiderivative. They choose from different techniques they already know to determine the indefinite integral or the definite...
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Worksheet
Curated OER

The Substitution Rule

For Students Higher Ed
For this college level Calculus worksheet, students use the Substitution Rule to evaluate the given integrals.  The one page worksheet contains nineteen problems.  Answers are not provided. 
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Lesson Plan
Curated OER

Graphing Linear Functions

For Teachers 7th - 8th
Students practice solving systems of linear equations using the substitution and elimination methods. They determine if the system has one, infinite or no solution. Students also graph the linear equations.
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Worksheet
Curated OER

ESP Quiz 5

For Students 12th - Higher Ed
Test your students with this integrals quiz, which prompts students to evaluate five indefinite integrals. The final problem directs students to solve two ways: first, they evaluate using u-substitution, then, integration by parts.
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Unit Plan
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Mathematics Vision Project

Module 2: Systems of Equations and Inequalities

For Teachers 8th - 10th Standards
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
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Lesson Plan
Curated OER

Review for Test on sections 6.2-6.3

For Teachers 12th
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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Lesson Plan
Curated OER

Test on Chapter 8

For Teachers 12th
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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AP Test Prep14:45
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1
Flipped Math

Calculus AB/BC - Verifying Solutions for Differential Equations

For Students 10th - 12th
Find out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...
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Lesson Plan
Curated OER

Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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Lesson Plan
Curated OER

The Exact Differential

For Teachers 11th - 12th
Students 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.  Students integrate...