Palomar Community College District
Palomar College: The Normal Curve an Example
A collection of step-by-step worked problems demonstrating how to take a normal curve and determine the probability (area) under it. Hints are provided along the way and the final measures are shown for the user to check.
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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: La Integral Definida Y La Function Area
In Spanish. This interactive unit visually presents the concept of the definite integral and its properties.
Math Graphs
Houghton Mifflin: Math Graphs: Area of a Region [Pdf]
Students calculate the area of a region using the Midpoint Rule. The resource consists of an enlarged printable version of a graph available in PDF format.
Texas Instruments
Texas Instruments: Calculus Tools Ti 89 Flash Application How to Guide
This Computer Algebra System (CAS) activity encourages students to investigate the use of the calculator to graph a function, find the value of a tangent to the curve, and find area under the curve using right sum.
BBC
Bbc: Integration
Several topics of integration are presented, including definite and indefinite integrals, trig integration, and area under curves. Examples and a practice test are included.
Interactive Mathematics
Interactive Mathematics: Simpson's Rule
Using parabolas to determine the area under a curve proves to be better estimate then other methods. This demonstration of Simpson's Rule allows the student to see just how accurate this approximation can be.
Interactive Mathematics
Interactive Mathematics: Trapezoidal Rule
Using trapezoids, the area under a curve can be determined. The Trapezoid rule is demonstrated to show exactly how that can be accomplished.
Khan Academy
Khan Academy: Application of Definite Integrals
If you have a function representing rate, what does the area under its curve represent? Area under rate function gives the net change. The definite integral of a rate function gives us the net change in the quantity described by the rate.
University of Georgia
University of Georgia: One Grain of Rice Mathematical Project
This is the mathematical tale about Raja, one grain of rice, and how quickly it grows. It includes a mathematical project using a spreadsheet to examine exponential growth and a calculus-based extension that explores area under a curve.
Missouri State University
Missouri State University: Introductory Statistics: Models of Distributions
The different types of distributions are discussed here - uniform, regular, negative exponential, triangular, and normal. The properties of probability distributions are also explained here in detail. A good starting point in the topic...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
Other
West Virginia University: Normal Distribution
The history of the normal curve and its use in statistics is presented. An Applet is provided for the user to adjust the left and right edges of the probability and see the effect on the area under the curve.
National Council of Teachers of Mathematics
Nctm: Illuminations: Interactive Calculus Tool
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
Khan Academy
Khan Academy: Accumulation of Change
Practice associating the area under rate-of-change curves with net change.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Calculo Integral
In Spanish. Use this unit to learn, use and interpret the concept of definite and indefinite integral.
Wolfram Research
Wolfram Math World: Trapezoidal Rule
This site from MathWorld.com give a formula for a two point trapezoidal approximation for the area under a curve.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Integrals
Hotmath provides 24 practice problems dealing with integrals. Each of the practice problems include a step-by-step guide for finding or evaluating the integral.
Shodor Education Foundation
Shodor Interactivate: Normal Distribution
Change the standard deviation of an automatically generated normal distribution to create a new histogram. Observe how well the histogram fits the curve, and how areas under the curve correspond to the number of trials.
Texas Instruments
Texas Instruments: Ti 89 Riemann Sum Activities for Calculus
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
Massachusetts Institute of Technology
Mit: Calculus for Beginners and Artists
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
Wolfram Research
Wolfram Math World: Simpson'e 3/8 Rule
This MathWorld site presents a modification of Simpson's Rule called Simpson'e 3/8 Rule.
Wolfram Research
Wolfram Mathworld: Definite Integral
Good site explaining the definite integral. This site also gives the integration rules for Definite Integrals, along with definitions and examples.
Wolfram Research
Wolfram Math World: Folium of Descartes
This site gives the parametric, cartesian, and polar equations for this plane curve. Also given is the point of discontinuity, equation for the asymptote, and area under the curve.