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.
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...
Texas Instruments
Texas Instruments: Accumulation Functions
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
Khan Academy
Khan Academy: Analyzing Problems Involving Definite Integrals
Given a word problem that involves rates and accumulation, find the appropriate expression for solving the problem.
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...
Cuemath
Cuemath: Integral
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
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.
Texas Instruments
Texas Instruments: Integration
This is a set of problems involving the concepts of integrals and antiderivatives. The problems are similar to those encountered during the third quarter of a typical calculus course.
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...
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,...
Department of Defense
Do Dea: Ap Calculus
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Wolfram Research
Wolfram Math World: Improper Integrals
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Math Medics
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
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.
Analyze Math
Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)
The applet examines the definition of the natural logarithm ln(x).
Texas Instruments
Texas Instruments: Area Under Curve
This activity will illustrate the idea of using the definite integral to represent the area bounded by a function and the x-axis.
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...
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...
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Integrals
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus Ii: Applications of Integrals
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Analyze Math
Analyze Math: Find Area Under Curve
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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!
Khan Academy
Khan Academy: Arc Length
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.