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Lesson Plan
Curated OER

Worksheet 31 - Doman & Range

For Teachers Higher Ed
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
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Lesson Plan
Curated OER

Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
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Worksheet
Curated OER

Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Applying the Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem activity, students identify the anti-derivative and write equations as an explicit function. This two-page activity contains two multi-step problems.
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Worksheet
Curated OER

Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page worksheet contains ten problems.
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Worksheet
Curated OER

Complex Analysis: Independence of Path

For Students Higher Ed
In this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Making Choices

For Students Higher Ed
In this making choices worksheet, students find the integral of given problems. This one-page, hand-written, worksheet contains 52 problems.
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Online Course
Massachusetts Institute of Technology

Mit: Calculus for Beginners and Artists

For Students 9th - 10th
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Advanced Integration Techniques

For Students 9th - 10th
Hotmath provides 23 practice problems dealing with advanced integration techniques. Each of the practice problems include a step-by-step guide for solving the integral.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Indefinite Integral

For Students 9th - 10th
Students learn about the indefinite integral. Topics examined are antiderivative formulas, variable of integration, and constant of integration. The tutorial explores the calculus concept through notes, examples, and quizzes to check for...
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Lesson Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc

For Teachers 9th - 10th
Learners learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: The Integral

For Students 9th - 10th
The topic summary outlines integration. Some topics reviewed are antiderivatives, integration rules, and integrals. The resource consists of definitions, notes, and examples.
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Handout
Other

Dans Math: Lessons: Calculus (Part 2)

For Students 9th - 10th
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
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Activity
Interactive Mathematics

Interactive Mathematics: Antiderivative & Indefinite Integrals

For Students 9th - 10th
The process of finding indefinite integrals is demonstrated here with several interactive examples. Students can watch, step by step, as integral problems are solved. Additional examples allow for independent practice. This is a great...
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Handout
Wolfram Research

Wolfram Math World: Indefinite Integral

For Students 9th - 10th
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
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Study Guide
Department of Defense

Do Dea: Ap Calculus

For Students 9th - 10th
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
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Study Guide
Department of Defense

Do Dea: Fundamental Theorem of Calculus Part 2

For Students 9th - 10th
This part of the Fundamental Theorem of Calculus tells us what happens when you take the derivative of an integral that has a variable as an upper limit of integration. Examples and explanations are provided. Great review for the AP...
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Study Guide
Department of Defense

Do Dea: Fundamental Theorem of Calculus Part 1

For Students 9th - 10th
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!