Khan Academy
Khan Academy: Analyzing Motion Problems (Integral Calculus)
Given a motion problem, find the expression that can be used in order to solve the problem.
Texas Instruments
Texas Instruments: Integration
This activity explains how to input integrals into a graphing calculator.
Massachusetts Institute of Technology
Mit: Calculus for Beginners and Artists
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
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.
ClassFlow
Class Flow: The Fundamental Theorem of Calculus
[Free Registration/Login Required] Although inverse operations, the two major branches of calculus- differentiated calculus and integrated calculus- are closely related. This connection was discovered by Isaac Newton and Gottfried...
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.
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.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus (Textbook Study Guide)
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Harvey Mudd College
Harvey Mudd College: Tutorials Hmc Calculus Tutorial
This site has tutorials on pre calculus and calculus. The integration tutorial is under the name antiderivative
Massachusetts Institute of Technology
Mit: Open Course Ware: Multivariable Calculus
The online course consists of educational materials about multivariable calculus. Readings, syllabus, interactive mathlets, video lectures, exams, and assignments are included.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus (Textbook Instructor's Manual)
The online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus (Textbook)
The online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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.
Other
Montana State University: Line Integrals
A thorough explanation of line integration and how to represent force fields, include graphs and diagrams for visual reference and examples.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus With Theory
The online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.
Massachusetts Institute of Technology
Mit: Open Course Ware: Single Variable Calculus
The online course consists of educational materials about single variable calculus. Video lectures, readings, syllabus, exams, and assignments are included.
Cuemath
Cuemath: Integration
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus Ii
The online course consists of educational materials about calculus with several variables. Lecture notes, syllabus, exams, and assignments with solutions are included.
Math Medics
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
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...
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