Khan Academy
Khan Academy: Arc Length
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Fundamental Theorem of Calculus
In this activity, students explore the connection between an accumulation function, one defined by a definite integral, and the integrand. They also discover that the derivative of the accumulator is the integrand.
Texas Instruments
Texas Instruments: Average Value
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
CK-12 Foundation
Ck 12: Evolution of the Atomic Model
[Free Registration/Login may be required to access all resource tools.] Students take a closer look at how our understanding of the atom has evolved over time.
Paul Dawkins
Paul's Online Notes: Average Function Value
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
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...
TeachEngineering
Teach Engineering: Club Function
Students explore the definition of a function by playing an interactive game called "Club Function." The goal of the game is to be in the club! With students each assigned to be either a zebra or a rhinoceros, they group themselves...
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: 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...
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...
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 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...
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.
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 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...
![Regents Exam Prep Center: Nys Mathematics Glossary: Integrated Algebra [Pdf] Handout](http://lessonplanet.com/content/resources/thumbnails/411254/large/bwluav9tywdpy2symdiwmduymc03mze0ltfynnjxn2euanbn.jpg?1589993136 "Regents Exam Prep Center: Nys Mathematics Glossary: Integrated Algebra [Pdf] Handout")
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.
Khan Academy
Khan Academy: Average Value of a Function Over a Closed Interval
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
Texas Instruments
Texas Instruments: It's Outta Here!
This activity uses the graphing calculator and the CBR(tm) to determine how far a baseball will travel and if it would be a homerun at a Major League baseball game. This activity uses differential equations to determine the distance...
University of California
University of California, Davis: The Calculus Page
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
CK-12 Foundation
Ck 12: Analysis: Definition of a Limit
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
University of Arizona
Math Lesson: Calculating Parts Per Million: Do We Have a Problem Here?
Twelfth graders test solutions to determine the parts per million and whether a lake is contaminated.
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.