Texas Instruments
Texas Instruments: Applications of Integrals
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.
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.
Texas Instruments
Texas Instruments: Integration
This is a set of problems involving the concepts of integrals and antiderivatives. The problems are similar to those encountered during the third quarter of a typical calculus course.
Texas Instruments
Texas Instruments: Sums of Rectangle Areas: Approximate Integrals
This activity will show a function with rectangle areas on the graphing calculator.
Texas Instruments
Texas Instruments: An Introduction to Derive
In this activity, students use the Derive software to algebraically solve expressions, find factors, study binomial coefficients, and investigate derivatives and integrals.
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...
Texas Instruments
Texas Instruments: Integration
This activity explains how to input integrals into a graphing calculator.
Texas Instruments
Texas Instruments: Integral Test
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Math Medics
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
![Paul's Online Notes: Calculus Cheat Sheet [Pdf] Handout](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Paul's Online Notes: Calculus Cheat Sheet [Pdf] Handout")
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
University of Manchester
Umist: Mathematical Formula Tables
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
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: Integration
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...
Other
Karl's Calculus Tutor: Integrals
This site provides a detailed overview of intregals, including a focus on the fundamental theorem of calculus to definite and indefinite integrals. Content includes numerous examples and exercises.
Analyze Math
Analyze Math: Evaluate Integrals
Scholars evaluate integrals. The resource includes examples and practice problems with solutions.
Analyze Math
Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)
The applet examines the definition of the natural logarithm ln(x).
University of St. Andrews (UK)
University of St. Andrews: Alexis Claude Clairaut
Contains a lengthy and detailed biography of Alexis Claude Clairaut including information on his relationships to other mathematicians of his day.
University of California
Ucla Mathematics Department : Midpoint Rule
This site from UCLA Mathematics Department explains the Midpoint Rule and how it relates to a double integral and finding surface area.
Other
Karl's Calculus Tutor: Fundamental Theorem of Calculus
Part of Karl's Calculus Tutorial, this page explains the fundamental theorem of calculus. The site includes examples for the student to work through.
Shodor Education Foundation
Shodor Interactivate: Function Revolution
This activity allows the user to find the volume and surface area of various functions as they are rotated around axes. This applet can be used to practice finding integrals using the disk and washer methods of calculating volume.
Math Open Reference
Math Open Reference: Polar Area
A complete reference guide to polar area. It provides definitions, examples. and an interactive activity that enhances further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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...
Mathematics Archives
Math Archives: Improper Integrals
This site, which is provided for by the University of Tennessee, Knoxville explains through an example Improper Integrals