Curated OER
Complex Analysis: Cauchy's Integral Formula and Integral Examples
For 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 33 - Integrals
In this integral worksheet, students analyze equations using the gamma function. They sketch graphs of functions, and find the are between the graph and the x-axis. This two-page worksheet contains five multi-step equations.
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Complex Analysis: Cauchy's Integral Formula
In this integral formula activity, students evaluate integrals. This activity contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Curated OER
Math 312 Spring 98: Cauchy's Integral Formula
In this integral formula activity, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page activity contains three problems.
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Math 312 Spring 2004: Application of Cauchy Integral Formula
In this integral formula instructional activity, students identify the value of the real integral and find the roots of the quadratic. Students explain the Cauchy Integral. This two-page instructional activity contains five problems.
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Evaluate Integrals
In this evaluate integrals worksheet, students solve and complete 10 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students substitute and use integral formulas for sine functions....
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Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
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Worksheet One - Definite Integral
In this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
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Integration Formulas
Twelfth graders review differential formulas and find their corresponding integration formula. For this calculus lesson, 12th graders review differential and integral formulas as it pertaining to solving calculus problems. They...
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Integrals and Integration
In this calculus instructional activity, students evaluate definite integrals using numbers and radians. They take the derivative to solve their equations, using trigonometric identities. There are 4 questions.
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Complex Analysis: Theorems Following Cauchy's Integral Formulas
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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Complex Analysis: Applications and Implications of Cauchy's Integral Formula
In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
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The Method of Integration by Parts
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
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Integration of Trigonometric Integrals
In this trigonometry instructional activity, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.
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Integration By Parts and Quiz on Basic Integration Formulas
Students solve integrals using integration by parts. In this calculus instructional activity, students review problems using integration by parts, repeated integration by parts and constant integration. They take a Quiz after they...
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Distance Formula
Students determine the distance between two points. In this distance formula lesson, groups of students determine the distance between points in real life situations. They calculate the distance from one point in the...
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Lesson 10-6: Using the Quadratic Formula
In this quadratic formula worksheet, students solve 5 quadratic problems. Students use the quadratic formula to find maximums, minimums, roots, and y-intercepts.
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Fun Times with Integrals
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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Evaluate Integrals
In this evaluating integrals instructional activity, students solve and complete 30 various types of problems. First, they use the trigonometric identity to rewrite the integrals. Then, students substitute and use integral formulas for...
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Quiz On Basic Integration Formulas
Students participate in a formal assessment of knowledge concerning the basic Integration Formulas. They apply the review practices given in the resource links to problems found in the assessment. The teacher should use these as review...
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The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
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The Limit Definition of a Definite Integral
In this calculus activity, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.