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Curated OER
Surface Water
In this surface water learning exercise, students review water runoff, drainage basins, and river erosion. This learning exercise has 7 multiple choice and 3 fill in the blank questions.
Khan Academy
Khan Academy: Area Between Curves
By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.
Other
Area Between Curves
Site explains using an example how to find the area between curves using a calculator.
Analyze Math
Analyze Math: Find Area Under Curve
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
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: Area Between the Curves the Game
This activity is set up as a game in which paired students each pick a function and predict the area between the two curves without knowing the other person's function. The students then find the area between the functions and determine...
Other
Ostermiller.org: Between Curves Tools
This site provides instructions for programs you can put into a graphing calculator to find the area between curves.
Interactive Mathematics
Interactive Mathematics: Area Between 2 Curves
Using integration, the area between two curves can be determined. This tutorial illustrates exactly how that can be done through several detailed examples.
Savvas Learning
Math Centre: Finding Areas by Integration
A PDF resource that includes an introduction to finding the area between two curves with examples
Alabama Learning Exchange
Alex: I'm Lovin' It: Finding Areas Between Curves
Students will best fit equations to a curve to find the area of a logo or image. Images will include McDonalds, Nike, and the Motorola logo. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project...
Paul Dawkins
Paul's Online Notes: Calculus I: Area and Volume Formulas
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
Texas Instruments
Texas Instruments: The Region Between Two Curves
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
Khan Academy
Khan Academy: Normal Distribution: Area Between Two Points
Use a z-table to find the probability that a particular measurement is in a range. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Massachusetts Institute of Technology
Mit: Open Course Ware: Appropriate Integrals
The activity investigates appropriate integrals. Some topics examined are areas between curves, the disk method, the washer method, and the shell method. All documents were created from scanned original files and are available as PDF...
Texas Instruments
Texas Instruments: Area Under the Curve
In this activity, students explore the relationship between the area under the graph of a function and the integral of the function.
Texas Instruments
Texas Instruments: Applications of Integrals
Use the TI-89 to find the area between curves, find arc length, and solve first and second order differential equations. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the...
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Integrals
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...
Texas Instruments
Texas Instruments: Using Derive
In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...
University of Colorado
University of Colorado: Normal Probabilities Applet #2
This Applet allows the user to grab and drag the ends of the included region below the standard normal curve to the appropriate places needed. The user directly experiences the connection between the shaded area under the curve and 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.