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Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Interactive
CK-12 Foundation

Trapezoidal and Midpoint Approximations: Area of a Skirt

For Students 11th - Higher Ed
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
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Worksheet
Curated OER

A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus worksheet, learners complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...
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Lesson Plan
Curated OER

European Integration: Who and Why?

For Teachers 11th - 12th
This French IV-V lesson plan addresses European integration into the European Union. French language learners research, discuss, and present in the target language. Online research, discussion, and presentations will take approximately...
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Interactive
Shodor Education Foundation

InteGreat!

For Students 11th - Higher Ed
Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.
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Worksheet
Curated OER

Exploration 4: Definite Integrals by Trapezoidal Rule

For Students 10th - 12th
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
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Worksheet
Curated OER

Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
In this integral learning exercise, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page learning exercise contains approximately 40...
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Worksheet
Curated OER

Complex Analysis: Understanding Contour Integration

For Students Higher Ed
In this integration worksheet, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page worksheet contains approximately eight problems.
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Lesson Plan
Curated OER

Worksheet 38-Spring 1996

For Teachers Higher Ed
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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Lesson Plan
Curated OER

Worksheet 34 - Antiderivatives

For Teachers Higher Ed
In this antiderivative worksheet, students compute antiderivatives, as well as definite and indefinite integrals. This one-page worksheet contains approximately six multi-step problems.
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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

Setting Up Definite Integrals Using Local Approximations First

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems concerning the use of integrals. They focus upon using local approximations first for the word problems.
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Worksheet
Curated OER

Worksheet 4: Evaluating Integrals

For Students Higher Ed
In this integral activity, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page activity contains approximately twenty-five...
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Worksheet
Curated OER

Math 312 Spring 2004: Complex Integration

For Students Higher Ed
In this complex integration worksheet, students compute the value of the integral, sketch the contour and identify the parameterizations used. This two-page worksheet contains approximately five problems.
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Worksheet
Curated OER

Guassian Quadrature and Improper Integrals

For Students 11th - Higher Ed
In this math worksheet, students practice using the Guassian Quadratures and improper integrals. They approximate two point Quadratures.
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Worksheet
Curated OER

Calc 2 Review Problems - Integral

For Students 12th - Higher Ed
In this integral worksheet, students review finding integrals by using various methods from Biller, Blaski, Fuentes, Juarez, Piazza, Salazar, Smith, and Youn. This two-page worksheet contains approximately 16 problems.
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Worksheet
Curated OER

Numerical Integration

For Students 11th - 12th
In this numerical integration worksheet, students find intervals and subintervals. They identify pictures and name the approximate integral. This two-page worksheet contains approximately 25 problems.
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Worksheet
Curated OER

Numerical Integration

For Students 11th - Higher Ed
In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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Worksheet
Curated OER

Seventeen Various Integral Problems

For Students 11th - Higher Ed
In this integrals worksheet, students solve seventeen integral problems.  One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.
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Worksheet
Curated OER

Integrals

For Students 11th - 12th
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations.  The two page worksheet contains sixteen problems.  Answers are...
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Worksheet
Curated OER

Complex Analysis: Contour Integration

For Students Higher Ed
In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Worksheet
Curated OER

Complex Analysis: Improper Integral

For Students Higher Ed
In this improper integral activity, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page activity contains explanations and...
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Worksheet
Curated OER

Complex Analysis: Residues and Real Integrals

For Students Higher Ed
For this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.
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Worksheet
Curated OER

Complex Analysis: Examples of Contour Integration

For Students Higher Ed
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.