CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
Curated OER
Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
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Worksheet One - Definite Integral
In this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
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Calculus AB/BC - Applying Properties of Definite Integral
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
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Worksheet 29 - Integrals
In this integral worksheet, students evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.
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Sudoku Puzzle: Definite Integrals
In this Sudoku worksheet, students first solve 36 definite integral problems and then place them into the puzzle. The remainder of the Sudoku is left to solve.
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Worksheet 28 - Definite Integrals
In this integral worksheet, students compute definite integrals, sketch line segments and shade regions for the integrals. This one-page worksheet contains six multi-step problems.
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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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Get Smart!: Addition Tricks with Integrals
In this definite integrals worksheet, students find the definite integrals of 16 functions. Students find definite integrals for a given interval in order to find the name of Maxwell Smart's partner.
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Definite Integrals
In this calculus activity, students calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.
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Applications of Definite Integrals
For this definite integral worksheet, students explore different types of integrals and determine the length of a curve. This one-page worksheet contains eight multi-step problems.
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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 determine...
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Properties of the Definite Integral
In this definite integral activity, students explore the relationship between integrals and examine the properties of the definite integral. This two-page activity contains six problems.
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Properties of the Definite Integrals
In this math learning exercise, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Connecting Riemann Sums to the Definite Integrals
In this math activity, students examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.
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Computing Indefinite Integrals
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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Definite Integral
Learners investigate the intervals represented by a function in this calculus instructional activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to...
Shodor Education Foundation
InteGreat
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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Calculus AB/BC - Integrating Using Substitution
U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.
Curated OER
Limit Definition of the Definite Integral
In this integral worksheet, students compute the Riemann sum that is defined by the given equation. They use a step by step process for computing an integral.
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
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Calculus AB/BC - Unit 6 Review: Integration and Accumulation of Change
Sometimes it's important to stop and take the time to review. Pupils look back at the second half of the unit and consider what they have learned about integration. They complete a instructional activity of review problems that assesses...
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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