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Illegal Integrals
In this illegal integral learning exercise, students identify illegal integrals, and indicate the limits of integration. This two-page learning exercise contains twelve problems.
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Numerical Integration
In this math activity, 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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Applications of Definite Integrals
In 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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More Integral Exchange: Integration By Parts
In this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
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The Method of Separation of Variables
In this math instructional activity, learners read the examples of the initial value problems. Then they write all the possible solutions for the differential equation.
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Improper Integrals
In this improper integral worksheet, students evaluate the improper integral, draw pictures of improper integrals, and identify the limits. This four-page worksheet contains fifteen problems.
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Alternating Series and Convergence Tests
In this math worksheet, students examine the concept of convergence and test the alternating series. They also read and apply the theorem of alternating series.
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Applications of Infinite Series
In this infinite series worksheet, students read a story problem and rewrite it in mathematical terms. They write a formula and evaluate the infinite series. This two-page worksheet contains four multi-step problems dealing with the...
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Infinite Series
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Introduction to Infinite Series
For this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five...
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Comparing Improper Integrals
In this math worksheet, students compare the improper integrals. They determine if each integral converges or diverges. The improper integral test is read and applied.
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The Pyramid: Estimating Volumes
In this estimating volumes activity, students determine the area and volume of pyramids. They draw a cross-section of the pyramid. This four-page activity contains approximately 20 problems.
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Introduction to Accumulation
In this math worksheet, students work in groups to estimate the area of the ellipses using the grids. Then they estimate the arclengths of the ellipses.
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Summation Notation, Area, Riemann Sums
In this math worksheet, students explore the concepts of summation notation, area, and Riemann sums. Then they apply them for the word problems.
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Properties of the Definite Integrals
In this math instructional activity, 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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Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem instructional activity, students find the antiderivative of a function. This two page instructional activity contains five multi-step problems.
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Introduction to Substitution
in this math learning exercise, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Examples of Integral Exchange Using Substitution
In this math worksheet, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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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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Trigonometric Examples of Integration by Substitution
In this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
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Computing Traveled Distance from Velocity
In this velocity worksheet, students compute the distance they would travel given a constant velocity for a car for specified amounts of time. They use tables to find the initial and terminal velocities for each time interval.
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Introduction to Accumulation
In this area of an ellipse activity, students are directed to work in groups of four to estimate the area of an ellipse by following four steps: They over and underestimate the area by using a large grid, then under and over estimate the...
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Riemann Sums and the Definite Integral
In this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the graph....
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Area, Riemann Sums and Summation Notation
In this math worksheet, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations for rectangles.
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