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Worksheet
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Math 224 Multivariable Calculus Quiz 10

For Students 11th - Higher Ed
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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Worksheet
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Math 212: Multiple Integration

For Students Higher Ed
In this integration worksheet students evaluate integrals. Students explore double and triple integrals. This two-page worksheet contains three problems.
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Worksheet
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Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page worksheet contains ten problems.
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Worksheet
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Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
In this integral worksheet, learners estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
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Worksheet
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Guassian Quadrature and Improper Integrals

For Students 11th - Higher Ed
In this math worksheet, learners practice using the Guassian Quadratures and improper integrals. They approximate two point Quadratures.
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Worksheet
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Numerical Analysis: Dimensional Vectors

For Students Higher Ed
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
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Worksheet
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Complex Analysis: Cauchy's Integral Formula and Integral Examples

For Students Higher Ed
In this integral formula worksheet, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
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Worksheet
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Complex Analysis: Understanding Contour Integration

For Students Higher Ed
In this integration instructional activity, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page instructional activity contains approximately eight problems.
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Worksheet
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Math 312 Spring 98. Contour Integration

For Students Higher Ed
In this contour integration worksheet, students compute the value of integrals, sketch the contour and list the parameterization used. This two-page worksheet contains three problems.
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Worksheet
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Complex Analysis: Independence of Path

For Students Higher Ed
In this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.
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Worksheet
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Complex Analysis: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
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Worksheet
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Math 312 Spring 2004 Bonus Quiz. Integrals

For Students Higher Ed
In this integral worksheet, students derive a formula for the value of a contour integral. They explain the method of choice. This two-page worksheet contains five problems.
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Worksheet
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Worksheet - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students write down the definition of a definite integral. Then take turns explaining the different parts to the members of a group.
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Worksheet
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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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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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Worksheet
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Worksheet 23

For Students 11th - Higher Ed
In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Worksheet
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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
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Worksheet 24

For Students 11th - Higher Ed
In this math worksheet, learners find how a 1 kg bucket filled with 10 kg of water is lifted 10 m into the air. They set up an integral which gives the total amount of work done on the bucket and the water used for lifting it.
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Worksheet
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Exploration 4: Definite Integrals by Trapezoidal Rule

For Students 10th - 12th
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
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Worksheet
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Integrating Special Functions

For Students 11th - Higher Ed
In this math worksheet, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Lesson Plan
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Fun Times with Integrals

For Teachers 11th - 12th
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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Lesson Plan
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Lesson #94 Exact Area Under a Curve

For Teachers 10th - 12th
Students research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Lesson Plan
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Lesson #139 A.P. Exam Review

For Teachers 10th - 12th
Students study for the A.P. Calculus exam. In this integrals lesson students complete a worksheet titled, "Stupid Integrals Sheet (a link to the answer key is included).
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Lesson Plan
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Lesson #106 Logs and Long Division

For Teachers 12th
  Students investigate a method of evaluating integrals using long division.  In this calculus lesson, 12th graders examine a method of using long division to perform integration.  The lesson includes a bingo worksheet on exponential and...