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Worksheet
Curated OER

A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus worksheet, learners complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...
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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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Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
In this integral learning exercise, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page learning exercise contains approximately 40...
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Worksheet
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Complex Analysis: Understanding Contour Integration

For Students Higher Ed
In this integration worksheet, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page worksheet contains approximately eight problems.
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Lesson Plan
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Worksheet 38-Spring 1996

For Teachers Higher Ed
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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Lesson Plan
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Worksheet 34 - Antiderivatives

For Teachers Higher Ed
In this antiderivative worksheet, students compute antiderivatives, as well as definite and indefinite integrals. This one-page worksheet contains approximately six multi-step problems.
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Lesson Plan
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Worksheet 32 - Antiderivative

For Teachers Higher Ed
In this antiderivative worksheet, students determine the antiderivative by using substitution. They evaluate integrals. This one-page worksheet contains approximately six multi-step problems.
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Worksheet
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Setting Up Definite Integrals Using Local Approximations First

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems concerning the use of integrals. They focus upon using local approximations first for the word problems.
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Worksheet
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Worksheet 4: Evaluating Integrals

For Students Higher Ed
In this integral activity, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page activity contains approximately twenty-five...
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Worksheet
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Math 312 Spring 2004: Complex Integration

For Students Higher Ed
In this complex integration worksheet, students compute the value of the integral, sketch the contour and identify the parameterizations used. This two-page worksheet contains approximately five problems.
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Worksheet
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Guassian Quadrature and Improper Integrals

For Students 11th - Higher Ed
In this math worksheet, students practice using the Guassian Quadratures and improper integrals. They approximate two point Quadratures.
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Worksheet
Curated OER

Calc 2 Review Problems - Integral

For Students 12th - Higher Ed
In this integral worksheet, students review finding integrals by using various methods from Biller, Blaski, Fuentes, Juarez, Piazza, Salazar, Smith, and Youn. This two-page worksheet contains approximately 16 problems.
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Worksheet
Curated OER

Numerical Integration

For Students 11th - 12th
In this numerical integration worksheet, students find intervals and subintervals. They identify pictures and name the approximate integral. This two-page worksheet contains approximately 25 problems.
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Worksheet
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Numerical Integration

For Students 11th - Higher Ed
In this math worksheet, 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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Worksheet
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Seventeen Various Integral Problems

For Students 11th - Higher Ed
In this integrals worksheet, students solve seventeen integral problems.  One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.
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Worksheet
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Integrals

For Students 11th - 12th
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations.  The two page worksheet contains sixteen problems.  Answers are...
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Worksheet
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Complex Analysis: Contour Integration

For Students Higher Ed
For this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Worksheet
Curated OER

Complex Analysis: Improper Integral

For Students Higher Ed
In this improper integral activity, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page activity contains explanations and...
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Worksheet
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Complex Analysis: Residues and Real Integrals

For Students Higher Ed
For this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.
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Worksheet
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Complex Analysis: Examples of Contour Integration

For Students Higher Ed
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Worksheet
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Complex Analysis: Theorems Following Cauchy's Integral Formulas

For Students Higher Ed
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
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Worksheet
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Multivariable Calculus: Multiple Integration

For Students Higher Ed
For this multiple integration worksheet, students identify the multiple integration of a given function. They evaluate integrals and identify their value. Students sketch a region of integration, write integrals in terms of rectangular...
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Worksheet
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Improper Integrals

For Students Higher Ed
In this improper integral worksheet, students compare improper integrals, identify the convergence or divergence, and sketch pictures of answers. This four-page worksheet contains approximately ten problems.
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Worksheet
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Basic Calculus II: Numerical Integration

For Students Higher Ed
In this numerical integration instructional activity, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal...