Khan Academy
Khan Academy: Application of Definite Integrals
If you have a function representing rate, what does the area under its curve represent? Area under rate function gives the net change. The definite integral of a rate function gives us the net change in the quantity described by the rate.
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Numerical and Graphical Approaches
Students learn how to evaluate the definite integral using numerical and graphical approaches. Topics examined are Riemann sums and the definite integral. The tutorial explores the calculus concepts through notes and examples. Review...
University of British Columbia
Ubc: The Definite Integral
This site is a tutorial on the definite integral.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc
Students learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
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.
Paul Dawkins
Paul's Online Notes: Calculus I: Integrals
The tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...
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
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: Definition of Definite Integrals Riemann Sums
The applet examines the definition of the definite integral.
Wolfram Research
Wolfram Mathworld: Definite Integral
Good site explaining the definite integral. This site also gives the integration rules for Definite Integrals, along with definitions and examples.
Other
Jfm: The Definition of Riemann Definite Integral
This site introduces Riemann definite integral on the closed interval of real. If you are interested in exploring definite integrals, this site may interest you.
Texas Instruments
Texas Instruments: Exploring the Fundamental Theorem of Calculus
In this Derive activity, students investigate the Fundamental Theorem of Calculus and explore examples of Riemann Sums for approximating the Definite Integral: the Midpoint Sum, the Left Hand Endpoint Sum, the Right Hand Endpoint Sum,...
Texas Instruments
Texas Instruments: Fundamental Theorem of Calculus
In this activity, students explore the connection between an accumulation function, one defined by a definite integral, and the integrand. They also discover that the derivative of the accumulator is the integrand.
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.
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...
Wolfram Research
Wolfram Math World: Indefinite Integral
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Wolfram Research
Wolfram Math World: Fundamental Theorem of Calculus
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
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...
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...