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University of Vienna (Austria)

University of Vienna: Definite Integrals Sine Function

For Students 9th - 10th
A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...
Unknown Type
University of Vienna (Austria)

University of Vienna: Definite Integrals Cosine Function

For Students 9th - 10th
A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...
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Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Integrals

For Students 9th - 10th
The tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Unit Plan
Wolfram Research

Wolfram Math World: Leibniz Integral Rule

For Students 11th - 12th
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
Activity
Interactive Mathematics

Interactive Mathematics: Integration

For Students 9th - 10th
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...
Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Handout
Paul Dawkins

Paul's Online Notes: Calculus I: Applications of Integrals

For Students 9th - 10th Standards
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Handout
Paul Dawkins

Paul's Online Notes: Calculus Ii: Applications of Integrals

For Students 9th - 10th
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Website
Scholastic

Scholastic Instructor: Origami Math

For Teachers 3rd - 8th
Have you ever tried origami? This Japanese form of paper folding is the basis of this math lesson plan. Students will have an opportunity to integrate their creative side with their math skills.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
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BBC

Bbc: Integration

For Students 9th - 10th
Several topics of integration are presented, including definite and indefinite integrals, trig integration, and area under curves. Examples and a practice test are included.
Handout
Math Open Reference

Math Open Reference: Separation of Variables

For Students 9th - 10th
Learn about the separation of variables with this helpful reference tool. Provides a detailed definition, examples, and an interactive activity that enhance further explanation. Includes links to related topics.
Graphic
Math Medics

S.o.s. Math: Improper Integrals

For Students 9th - 10th
This math lesson explains Improper Integrals with definitions and examples.
Activity
Analyze Math

Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)

For Students 9th - 10th
The applet examines the definition of the natural logarithm ln(x).
Handout
Math Open Reference

Math Open Reference: Polar Area

For Students 9th - 10th
A complete reference guide to polar area. It provides definitions, examples. and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Wolfram Research

Wolfram Math World: Improper Integrals

For Students 9th - 10th
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Multiple Integrals

For Students 9th - 10th
The resource examines applications of partial derivatives. Topics investigated are double integrals, triple integrals, surface area, and iterated integrals. Class notes, definitions, and examples with detailed solutions are included. The...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Integration Techniques

For Students 9th - 10th
The resource examines various integration techniques. Topics investigated are integration by parts, partial fractions, comparison test, and trigonometric substitutions. Class notes, definitions, and examples with detailed solutions are...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Line Integrals

For Students 9th - 10th
The resource examines line integrals and interpretations of the line integral. Topics investigated are the fundamental theorem for line integrals, Green?s theorem, and conservative vector fields. Class notes, definitions, and examples...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Surface Integrals

For Students 9th - 10th
The resource examines surface integrals. Topics investigated are parametric surfaces, surface integrals, Stokes? theorem, and the divergence theorem. Class notes, definitions, and examples with detailed solutions are included. The notes...
Handout
Oswego City School District

Regents Exam Prep Center: Nys Mathematics Glossary: Integrated Algebra [Pdf]

For Teachers 9th - 10th
The glossary consists of mathematical terms used in integrated algebra. Definitions and examples are included. The resource is intended for teacher use only.
Handout
Math Medics

S.o.s. Math: Improper Integrals and Series: The Integral Test

For Students 9th - 10th
This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.
Activity
Math2

Math2.org: Integral Identities

For Students 9th - 10th
A formal definition of integrals, followed by three examples of the Fundamental Theorem for Integrals of Derivatives.