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.
Hofstra University
Hofstra University: Calculus Applied to the Real World
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
Analyze Math
Analyze Math: Integration Using Partial Fractions
The tutorial investigates how to calculate integrals using partial fraction decomposition. Practice problems and examples with solutions 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.
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.
Other
Math Mistakes: Common Calculus Mistakes
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
Khan Academy
Khan Academy: Worked Example: Problem Involving Definite Integral (Algebraic)
Using definite integral to solve a word problem about the growth in the population of a town.
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.
Wolfram Research
Wolfram Math World: Integral
Good site from MathWorld.com on integration with links to the topics and information needed to help the student understand integration. This site gives the fundamental rules of integration including the integration of the trigonometric...
Math Medics
S.o.s. Math: Calculus
This lesson has links to the various topics dealing with calculus. The student just needs to find the topic then click to go to it.
University of British Columbia
Ubc: The Definite Integral
This site is a tutorial on the definite integral.
University of California
University of California: Integrals and the Natural Log
This site explains the natural log and its integral. Includes examples.
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.
Harvey Mudd College
Harvey Mudd College: Integration by Parts
Excellent site explaining Integration by Parts
Analyze Math
Analyze Math: Definition of Definite Integrals Riemann Sums
The applet examines the definition of the definite integral.
Khan Academy
Khan Academy: Worked Example Motion Problems With Definite Integrals
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
Math Medics
S.o.s. Math: Improper Integrals and Series: The Integral Test
This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.
Math Medics
S.o.s. Math: Convergence and Divergence of Improper Integrals
This lesson explains in detail the Convergence and Divergence of Improper Integrals. Includes many formulas and examples.
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: Indefinite Integral
An example of the indefinite integral is provided by the University of Tennessee.
University of California
University of California, Davis: The Calculus Page
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
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...
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