Texas Instruments
Texas Instruments: Integral Test
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
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.
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.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Series and Sequences
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
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.
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.
Other
Sierra College: Summary of Tests for Series
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
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.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Integration Techniques
The resource examines various integration techniques. Topics investigated are integration by parts, partial fractions, comparison test, and trigonometric substitutions. Class notes, definitions, and examples with detailed solutions are...
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 2
This part of the Fundamental Theorem of Calculus tells us what happens when you take the derivative of an integral that has a variable as an upper limit of integration. Examples and explanations are provided. Great review for the AP...
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 1
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!
Department of Defense
Do Dea: Ap Calculus
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
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.
University of Arizona
Math Lesson: Calculating Parts Per Million: Do We Have a Problem Here?
Twelfth graders test solutions to determine the parts per million and whether a lake is contaminated.
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Math2
Math2.org: Series Expansion
A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.
University of Vienna (Austria)
University of Vienna: Maths Online
The University of Vienna, Austria, created this site to help bring the worlds of math and technology together. You have access to many applets and downloads that allow you to create lessons, tests, and puzzles. There are also great...
Department of Defense
Do Dea: Differential Equations
A separable differential equation is one which is in the form dy/dx = g(x) h(y). Learn how to take the integral by separating the variables and put the y's on one side with the dy and the x's on the other with the dx. View an example on...