# Improper Integral Teacher Resources

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#### Worksheet 6 - Improper Integrals

In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.

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#### Improper Integrals

Twelfth graders investigate the limitations of the Fundamental Theorem of Calculus. In this calculus lesson, 12th graders explore when one can and cannot use the Fundamental Theorem of Calculus and explore the definition of an improper...

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#### Challenge Sheet 9: Improper Integrals

In this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...

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#### Improper Integrals

In this math worksheet, students practice examining the improper integrals. Then they solve for them while completing the quiz.

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#### Guassian Quadrature and Improper Integrals

For this math worksheet, students practice using the Guassian Quadratures and improper integrals. They approximate two point Quadratures.

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#### Complex Analysis: Improper Integral

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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#### 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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#### Improper Integrals

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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#### Discussion Sheet 10: Improper Integrals

In this improper integral worksheet, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...

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#### Comparing Improper Integrals

In this math activity, 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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#### Basic Calculus II: Quiz 7

In this improper integrals learning exercise, students explain the reasons each of three integrals may be considered improper. They evaluate each by determining if it converges to a number or diverges.

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#### Improper Integrals

In this improper integrals worksheet, students determine whether each integral diverges or converges. They answer 8 questions and must justify each answer with a mathematical proof.

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#### ESP Quiz 9

In this improper integrals worksheet, students evaluate four computation (short answer) problems. They use L'Hopital's rule for the fourth problem.

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#### Worksheet 3: Math 222 - Integrals

For this integral worksheet, students evaluate integrals, determine if improper integrals converge or diverge, and identify formulas which produce a specified sequence or series. This two-page worksheet contains approximately 25 problems.

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#### Basic Calculus II: Quiz 8

In this infinite series worksheet, 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...

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#### Complex Analysis: Cauchy Principal Value

In this Cauchy Principal Value worksheet, students evaluate improper integrals. This three-page worksheet contains eight problems, as well as explanations and examples.

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#### Worksheet 5 - Integration

In this integration worksheet, students evaluate the divergence or convergence of improper integrals. They explain limits of functions. In this one-page worksheet, students solve six multi-step problems.

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#### Math Handbook: Calculus

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

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#### Integrating Algebraic Fractions 1

Don't get stuck on the integral when you can incorporate partial fractions. A well-explained guide, there are seven pages and a tutorial video that detail the steps for different types of algebraic fractions.

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#### Improper Integrals

In this integral activity, students determine the convergence or divergence of a given integral. This two-page activity contains two problems.

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#### Calculus Volume 2

Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....

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#### 2005 AP® Calculus BC Free-Response Questions Form B

Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...

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#### 2006 AP® Calculus BC Free-Response Questions

Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...

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#### Worksheet 2: Integration

In this integration worksheet, students complete integration problems using partial fractions. They define a gamma function and evaluate improper integrals to conclude convergence or divergence. This two-page worksheet contains...