Texas Instruments
Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Texas Instruments
Texas Instruments: Area Between Curves
This activity will illustrate the idea of using the definite integral to represent the area bounded by two curves.
Texas Instruments
Texas Instruments: Quartic Regions
This activity is an application of derivatives and of definite integrals. It introduces students to an interesting property of Quartics which students can verify using the CAS of their TI-89.
Texas Instruments
Texas Instruments: Area Under Curve
This activity will illustrate the idea of using the definite integral to represent the area bounded by a function and the x-axis.
Texas Instruments
Texas Instruments: Cubic Regions
This application of derivatives and definite integrals introduces students to an interesting property of cubics and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon...
Wikimedia
Wikipedia: Integrity
In addition to providing a definition of "integrity," this article has information on the various ways in which integrity manifests in popular culture, law, and science. Contains several links to articles on related topics.
Other
Tsbvi: Sensory Integrative Dysfunction in Young Children
An article on Sensory Integrative Dysfunction. Beginning with a definition of sensory integration, the author goes on to trace the history of what is now called sensory integration and its dysfunction. Included here are discussions of...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Techniques and Applications of the Integral
The topic summary outlines techniques and applications of integration. Some topics reviewed are integration by parts, area between two curves, and improper integrals. The resource consists of definitions, notes, and examples.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Multiple Integrals
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...
Wolfram Research
Wolfram Mathworld: Riemann Integral
This site explains the Riemann Integral and its relation to the Riemann Sum. This site addresses double and triple Riemann Integral scenarios. Includes formulas, definitions, and links to related sites.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: The Integral
The topic summary outlines integration. Some topics reviewed are antiderivatives, integration rules, and integrals. The resource consists of definitions, notes, and examples.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Integration Techniques
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...
Paul Dawkins
Paul's Online Notes: Calculus Iii: Line Integrals
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...
Paul Dawkins
Paul's Online Notes: Calculus Iii: Surface Integrals
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...
Other
Seton Hall University: The Riemann Integral
This resouce, which is provided for by the Seton Hall University, is a detailed lesson explaining the The Riemann Integral. With definitions and examples
Math Open Reference
Math Open Reference: Integral Test
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Oswego City School District
Regents Exam Prep Center: Nys Mathematics Glossary: Integrated Algebra [Pdf]
The glossary consists of mathematical terms used in integrated algebra. Definitions and examples are included. The resource is intended for teacher use only.
Math Open Reference
Math Open Reference: Integration by Substitution
Learn about integration by substitution with this handy reference guide. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
Integrated Publishing
Integrated Publishing: Joint Variation
Contains definitions and examples of joint variations.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
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.
Wolfram Research
Wolfram Math World: Fundamental Theorem of Calculus
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Math Medics
S.o.s. Math: Improper Integrals and Series: The Integral Test
This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.
Wolfram Research
Wolfram Mathworld: Riemann Sum
This site discusses a Riemann Sum and how it relates to Integral Calculus. Includes definitions, graphs, and a customizable database for figuring a Riemann Sum.
CK-12 Foundation
Ck 12: Analysis: Area Under the Curve
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
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