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Texas Instruments
Sands of Time
Twelfth graders explore an application of integration. A calculus lesson prompts class members to find the length of the day where they live during the winter and summer solstice. Using data relating to the solstices at...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Mrs. Burke's Math Page
Let Them Eat Pi
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
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.
Math Medics
S.o.s. Math: Integration of Rational Functions
Good lesson explaining integration of rational functions in calculus. Also includes a link to partial functions.
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.
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...
Texas Instruments
Texas Instruments: Integration
This activity explains how to input integrals into a graphing calculator.
University of St. Andrews (UK)
University of St. Andrews: A History of the Calculus
A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.
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.
Math Medics
S.o.s. Math: Calculus Integration by Parts
Very nice tutorial explaining integration by parts in calculus. The tutorial explains the formula in detail and then has links to online examples the student can work.
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...
Mathematics Archives
Math Archives: Visual Calculus: Integration by Parts
This site explains Integration by Parts and then has several examples that you can work out on your own. You may check your answers when your finish!
Mathematics Archives
Math Archives: Visual Calculus: Integration by Parts
Excellent site explaining how and why the Integration by Parts works. Go through the formula step-by-step.
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...
Analyze Math
Analyze Math: Table of Integrals
The resource consists of a table of indefinite integrals of functions. Formulas for elementary functions, trigonometric functions, exponential functions, and hyperbolic functions are included.
Math Medics
S.o.s. Math: Exam: Numerical Integration, Improper Integrals, Applications
This lesson is a practice exam on Numerical Integration, Improper Integrals, Applications. The student can take the exam and then check the answers.
Other
Xetc: Integral Definida
The concept of definite Integral is presented in an interactive manner. The explanation is detailed and step by step. At the end you will find exercises whose solutions are available.
Analyze Math
Analyze Math: Properties of Integrals
The resource examines the properties of indefinite integrals. Practice problems and examples with solutions are included in the tutorial.
Analyze Math
Analyze Math: Evaluate Integrals
Scholars evaluate integrals. The resource includes examples and practice problems with solutions.
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.
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.
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.
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.
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