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Texas Instruments
Texas Instruments: Integral Calculus
In this activity, students use various features of the calculator to investigate some of the fundamental concepts of integral calculus. They study Riemann Sums and explore limitations of numerical integration.
Texas Instruments
Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Mathematics Archives
Math Archives: Visual Calculus: Fundamental Theorem of Calculus 12
This site uses an example to explain the fundamental theorem of calculus. The student can change the problem. At the bottom of the page is a link to a table of elemantary indefinite integrals.
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...
Texas Instruments
Texas Instruments: Integral Test
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Interactive Mathematics
Interactive Mathematics: Even Crash Test Dummies Use Calculus
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Mathematics Archives
Math Archives: Visual Calculus: Integral Test
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
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...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Interactive Mathematics
Interactive Mathematics: Applications of Volumes by Integration
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Substitution in the Indefinite Integral
Students learn how to integrate using the technique of substitution. The tutorial explores the calculus concept through notes and examples. Review exercises, a chapter summary, and chapter quiz are included.
Interactive Mathematics
Interactive Mathematics: Applications of Indefinite Integrals
Displacement, velocity, and acceleration are determined in real world problems using the indefintie integral. Several examples alllow you to see the process at work.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc
Learners learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
Duke University
Calculating the Volume of a Vase
This site is a wonderful exercise for students with a Calculus base. The site gives an interactive drawing of a vase where the measurements of the diameter of the vase are at any point. The student then finds the volume using calculus....
Khan Academy
Khan Academy: Analyzing Problems Involving Definite Integrals
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Mathematics Archives
Math Archives: Visual Calculus: Reduction Formulas
This tutorial presents a series of trigonometric integrals to solve using recursion or reduction formulas. Click Solution next to each formula and a popup screen provides the solution.
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.
Texas Instruments
Texas Instruments: Getting Started With the Calculus Tools App
This user-friendly application extends the build-in power of your TI-89 and TI-92 Plus by providing more specialized functionality. Use Calculus to investigate applications of differentiation, compare numerical integration techniques and...
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...
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...
CK-12 Foundation
Ck 12: Analysis: Area Under the Curve
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
Mathematics Archives
Math Archives: Trigonometric Substitution
This resource has many examples of integration using trigonometric substitution that the student can work on and then check their answers. Includes hints.
Wolfram Research
Wolfram Math World: Chord
Describes what a chord is and shows a diagram and shows how to find areas using integral calculus.