Department of Defense
Do Dea: Ap Calculus
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Wolfram Research
Wolfram Math World: Improper Integrals
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
ClassFlow
Class Flow: Integration by Substitution and Pattern Recognition
[Free Registration/Login Required] Two different techniques for integrating composite functions, pattern recognition and change of variables, are discussed using a process called u-substitution. This pattern recognition uses both of the...
Mathematics Archives
Math Archives: Visual Calculus: Arc Length
This site explains the arc length. The site has links to related topics and examples.
Harvey Mudd College
Harvey Mudd College: Special Trigonometric Integrals
Proves that the cos and sin functions form an orthogonal set, as it applies to Fourier series.
Texas Instruments
Texas Instruments: Integration Crossing
This worksheet allows the students the opportunity to learn how to use the graphing calculator to compute anti-derivatives.
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.
Wolfram Research
Wolfram Math World: Chord
Describes what a chord is and shows a diagram and shows how to find areas using integral calculus.
Other
Jiskha Homework Help: Math Calculus
Jiskha.com offers help with your calculus homework. Use the find button to locate the subject you are interested in. This will take you to the correct link.
Interactive Mathematics
Interactive Mathematics: Millionaire Calculus Game
This interactive game imitates the famous "Millionaire" game show and allows students to test there calculus knowledge. It requires that you really know your calculus and is a fun way to test yourself.
Mathematics Archives
Math Archives: Line Integral
At this site the student can download a program to do line integrals.
Math Aids
Math Aids: Calculus Worksheets
Great resource to practice and strengthen math skills pertaining to Calculus. Math worksheets are printable, may be customized, and include answer keys.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Numerical Integration Utility
The integration tool integrates and graphs functions that student enter into the tool. The tool uses the trapezoidal rule, Riemann sums, and Simpson rule to integrate the function.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Graphing Calculator Programs
The resource is a graphing calculator program used for numerical integration. The program uses trapezoid and Simpson approximations. Instructions on how to use the programs are included.
Other
Integration by Parts (Ibp)
This site explains the intgration by parts, giving formulas and examples. The site also includes a link to an interactive self test.
Math Medics
S.o.s. Math: Improper Integrals: Introduction
A detailed and comprehensive lesson explaining improper integrals. It contains many graphs and charts.
Math Medics
S.o.s. Math: Problems on Improper Integrals
This math lesson gives information on Improper Integrals. Includes formulas and examples.
Texas Instruments
Texas Instruments: Accumulation Functions
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
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...
Khan Academy
Khan Academy: Analyzing Problems Involving Definite Integrals
Given a word problem that involves rates and accumulation, find the appropriate expression for solving the problem.
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.
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Trigonometric Functions
The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...
Wolfram Research
Wolfram Math World: Calculus and Analysis
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
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