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Activity
Texas Instruments

Texas Instruments: Applications of Integrals

For Teachers 9th - 10th
This is a set of problems involving the concepts of integrals in context. The problems are similar to those encountered during the fourth quarter of a typical calculus course.
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Handout
University of California

Ucla Mathematics: Triple Integral

For Students 9th - 10th
Detailed site explaining the triple integral from the UCLA Mathematics department. Includes equations and examples.
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Activity
Massachusetts Institute of Technology

Mit: Vector Calculus

For Students 9th - 10th
Great site explaining vector calculus.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Integral Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
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Activity
Other

Math Mistakes: Common Calculus Mistakes

For Students 9th - 10th
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
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Unknown Type
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.
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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Activity
Wolfram Research

Wolfram Math World: Integral

For Students 9th - 10th
Good site from MathWorld.com on integration with links to the topics and information needed to help the student understand integration. This site gives the fundamental rules of integration including the integration of the trigonometric...
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Website
Math Medics

S.o.s. Math: Calculus

For Students 9th - 10th Standards
This lesson has links to the various topics dealing with calculus. The student just needs to find the topic then click to go to it.
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Activity
University of British Columbia

Ubc: The Definite Integral

For Students 9th - 10th
This site is a tutorial on the definite integral.
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Activity
University of California

University of California: Integrals and the Natural Log

For Students 9th - 10th Standards
This site explains the natural log and its integral. Includes examples.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Reduction Formulas

For Students 9th - 10th
This tutorial presents a series of trigonometric integrals to solve using recursion or reduction formulas. Click Solution next to each formula and a popup screen provides the solution.
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Activity
Harvey Mudd College

Harvey Mudd College: Integration by Parts

For Students 9th - 10th
Excellent site explaining Integration by Parts
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Activity
Analyze Math

Analyze Math: Integration Using Partial Fractions

For Students 9th - 10th
The tutorial investigates how to calculate integrals using partial fraction decomposition. Practice problems and examples with solutions are included.
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Handout
Analyze Math

Analyze Math: Definition of Definite Integrals Riemann Sums

For Students 9th - 10th
The applet examines the definition of the definite integral.
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Activity
Interactive Mathematics

Interactive Mathematics: Applications of Volumes by Integration

For Students 9th - 10th Standards
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
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Unit Plan
Khan Academy

Khan Academy: Worked Example Motion Problems With Definite Integrals

For Students 9th - 10th
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
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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.
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Activity
Math Medics

S.o.s. Math: Convergence and Divergence of Improper Integrals

For Students 9th - 10th
This lesson explains in detail the Convergence and Divergence of Improper Integrals. Includes many formulas and examples.
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Activity
Mathematics Archives

Math Archives: Improper Integrals

For Students 9th - 10th
This site, which is provided for by the University of Tennessee, Knoxville explains through an example Improper Integrals
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Indefinite Integral

For Students 9th - 10th
An example of the indefinite integral is provided by the University of Tennessee.
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Activity
Texas Instruments

Texas Instruments: Getting Started With the Calculus Tools App

For Teachers 9th - 10th
This user-friendly application extends the build-in power of your TI-89 and TI-92 Plus by providing more specialized functionality. Use Calculus to investigate applications of differentiation, compare numerical integration techniques and...
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Review Exercises: The Integral

For Students 9th - 10th
Students review integration. The resource consists of review exercises on the calculus concepts.
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Unknown Type
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Quiz: The Integral

For Students 9th - 10th
The online quiz assesses student comprehension of integration. The quiz consists of true/false questions on the calculus concepts.

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