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....
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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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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.
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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.
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
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Properties of the Definite Integral
In this definite integral worksheet, students explore the relationship between integrals and examine the properties of the definite integral. This two-page worksheet contains six 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 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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Definite Integral
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
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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.
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
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Get Smart!: Addition Tricks with Integrals
In this definite integrals activity, 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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Properties of the Definite Integrals
In this math worksheet, 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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Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
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Connecting Riemann Sums to the Definite Integrals
In this math instructional 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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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.
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The Limit Definition of a Definite Integral
In this calculus activity, 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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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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Calculus AB/BC - Selecting Techniques for Antidifferentiation
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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Applications of Definite Integrals
In this definite integral instructional activity, students explore different types of integrals and determine the length of a curve. This one-page instructional activity contains eight multi-step problems.
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Limit Definition of the Definite Integral
In this integral instructional activity, students compute the Riemann sum that is defined by the given equation. They use a step by step process for computing an integral.
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Mapping the Brain
A virtual 3-D tour leads students to developing icons representing the function of various parts of the brain. These icons are then used to label hand-drawn maps of the brain. A worksheet, assessment, and detailed procedures are included.