Worksheet
Curated OER

Complex Analysis: Cauchy's Integral Formula and Integral Examples

For Students Higher Ed
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.
Lesson Plan
Curated OER

Worksheet 33 - Integrals

For Teachers Higher Ed
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.
Worksheet
Curated OER

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...
Lesson Plan
West Contra Costa Unified School District

Indefinite Integrals

For Teachers 11th - Higher Ed Standards
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson plan introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to...
Worksheet
Curated OER

Math 312 Spring 98: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula worksheet, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page worksheet contains three problems.
Worksheet
Curated OER

Math 312 Spring 2004: Application of Cauchy Integral Formula

For Students Higher Ed
For this integral formula worksheet, students identify the value of the real integral and find the roots of the quadratic. Students explain the Cauchy Integral. This two-page worksheet contains five problems.
Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, learners 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....
Lesson Plan
Curated OER

Worksheet One - Definite Integral

For Teachers Higher Ed
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.
Worksheet
Curated OER

Integrals and Integration

For Students 11th - 12th
For this calculus worksheet, students evaluate definite integrals using numbers and radians. They take the derivative to solve their equations, using trigonometric identities. There are 4 questions.
Worksheet
Curated OER

Complex Analysis: Theorems Following Cauchy's Integral Formulas

For Students Higher Ed
For 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. ...
Worksheet
Curated OER

Complex Analysis: Applications and Implications of Cauchy's Integral Formula

For Students Higher Ed
In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.
Interactive
Curated OER

The Method of Integration by Parts

For Students 11th - 12th
In this calculus learning exercise, learners 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.
Interactive
Curated OER

Integration of Trigonometric Integrals

For Students 9th - 10th
In this trigonometry worksheet, 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.
Worksheet
Curated OER

Lesson 10-6: Using the Quadratic Formula

For Students 9th - 12th
In this quadratic formula worksheet, students solve 5 quadratic problems.  Students use the quadratic formula to find maximums, minimums, roots, and y-intercepts.
Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals learning exercise, 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 sine...
Worksheet
Curated OER

The Integration of Exponential Functions

For Students 11th - 12th
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Interactive
Curated OER

The Limit Definition of a Definite Integral

For Students 11th - 12th
For this calculus worksheet, 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.
Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, learners solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals worksheet, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...
Worksheet
Curated OER

Complex Analysis: Contour Integration

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

Regents High School Examination: Integrated Algebra

For Teachers 9th - 12th
In this integrated algebra worksheet, students answer 39 questions in preparation for the Regents High School Examination.  Students solve problems about various topics in algebra and algebra II including quadratics, systems of...
Worksheet
Curated OER

Integration Techniques

For Students Higher Ed
In this integration technique worksheet, students use ten different methods to integrate formulas. This one-page worksheet contains ten problems.
eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...