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Integral Worksheet

For Students Higher Ed
In this college level calculus worksheet, students evaluate the given definite integrals.  The three page worksheet contains eight problems.  Solutions are not provided. 
Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
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The Method of U-Substitution

For Students 9th - 10th
In this calculus learning exercise, students solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.
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Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
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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Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series activity, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or diverging.
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Word Problems

For Students 10th - 11th
In this calculus instructional activity, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
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The Io Plasma Torus

For Students 11th - 12th
For this plasma torus worksheet, students solve 5 problems including finding the dimensions of the Io torus, determining the formula for the volume of a torus, finding the actual volume of the Ion torus and finding the amount of sodium...
Worksheet
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Integrals and Limits

For Students Higher Ed
For this college level calculus worksheet, students evaluate the given integrals and compute the given limits or show that the limit does not exist.  The three page worksheet contains ten problems.  Answers are not provided. 
Worksheet
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Integration Review Part 6

For Students Higher Ed
In this college level calculus worksheet, students review various integration techniques.  The one page worksheet contains three problems.  Answers are not provided. 
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Matrices

For Students 9th - 10th
In this calculus instructional activity, students practice solving equations of area and integrals. There are 14 multi-step problems.
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Worksheet 37

For Students 11th - Higher Ed
For this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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Worksheet 28 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
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Math 155 Review Worksheet 10

For Students Higher Ed
In this college level Calculus activity, students evaluate indefinite and definite integrals.  The two page activity contains eight problems.  Answers are not included. 
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Math 155-Worksheet 10

For Students Higher Ed
In this college calculus instructional activity, students evaluate the given indefinite integrals.  The two page instructional activity contains eight problems.  Answers are not included. 
Worksheet
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Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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The Pink Panther

For Students 11th - 12th
In this calculus activity, students use tangrams to create different shapes and patterns. They relate each segments to a trigonometric identity with its integral.
Lesson Plan
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Worksheet Two

For Teachers Higher Ed
In this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus worksheet, students are provided with practice problems for their exam.  Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...
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Challenge Sheet 2: Evaluate Functions

For Students Higher Ed
In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.
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Discussion Sheet 3

For Students 11th - Higher Ed
In this math worksheet, students determine the maximum and minimum values for the functions. Then they evaluate the double integrals.
Worksheet
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Simpson's Rule

For Students Higher Ed
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
Interactive
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Review of Calculus

For Students 12th
In this calculus worksheet, 12th graders solve problems that cover a variety of topics, including limits, derivatives, integrals, and problem solving.  The one page interactive worksheet contains forty-eight questions and is self...
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Review of Calculus BC II

For Students 11th - 12th
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page...
Worksheet
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Multivariable Calculus

For Students Higher Ed
In this multiple integration worksheet, students set up and evaluate double and triple integrals. Students compute the volume of a tetrahedron bounded by defined planes.

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