Curated OER
The Limit Definition of a Definite Integral
In this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
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Integration
In this calculus learning exercise, students solve problems by integration and taking the derivatives. There are 34 integration problems to review for major concepts in calculus.
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Integration by Parts
In this calculus worksheet, students integrate over parts in order to solve the provided integral problems. There are 32 questions including some with natural log and trig functions.
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Calculus Assignment #5: Integrals
In this calculus assignment worksheet, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page worksheet contains 14 problems. Answers are provided on page two of the worksheet.
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Cookie Recipe: Integrals
In this calculus activity, students solve integrals over a defined interval in order to gain the measurements for the provided cookie recipe. There are 10 ingredients.
Curated OER
Proof That One Equals Zero (Using Calculus)
In this proofs activity, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
College Board
2005 AP® Calculus AB Free-Response Questions
Develop an awareness of the exam. Pupils and teachers use the six release free-response questions to see how the exam covers topics. The questions are divided among calculator and non-calculator items. Scholars see the importance of...
College Board
2008 AP® Calculus AB Free-Response Questions
Get the most out of released items. Teachers use the included materials to learn about test-takers' performance on released free-response questions. Pupils respond to the questions and compare their responses to sample scored responses...
College Board
2005 AP® Calculus BC Free-Response Questions
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
Curated OER
Nine Definite Integrals and Fundamental Theorem Of Calculus Problems
In this definite integral worksheet, student find the value of five definite integrals. Student then explain why a definite integral inequality holds true. Finally, students are given the graph of a functions and asked to...
Curated OER
Multivariable Calculus Quiz 9
In this math activity, learners practice the calculus problems that involve integrals. Then they use the rules to complete the quiz by showing all the work for the two problems.
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Fun Times with Integrals
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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Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
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Math 224 Multivariable Calculus/ Bonus Quiz 9A
In this math worksheet, students practice solving the problems that involve integrals. They take the quiz applying the rules and showing all the work for the two problems.
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Math 224 Multivariable Calculus Quiz 10
In this math worksheet, students practice using the rules for solving problems with integrals. They are directed to show all work completely for the two problems.
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Integration By Parts
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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Setting Up Definite Integrals Using Local Approximations First
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.
Curated OER
Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
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The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. For this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Passive Integrator and Differentiator Circuits
In this circuits worksheet, students answer 25 questions about passive integrator circuits and passive differentiator circuits given schematics showing voltage. Students use calculus to solve the problems.
Curated OER
Exploring Functions with Calculus and Dynamic Software
Calculus can be project-based and inquiry-centered by using dynamic software.
Curated OER
Integration of Functions
In this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.
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