Mathematics Archives
Math Archives: Visual Calculus: Fundamental Theorem of Calculus 12
This site uses an example to explain the fundamental theorem of calculus. The student can change the problem. At the bottom of the page is a link to a table of elemantary indefinite integrals.
Mathematics Archives
Math Archives: Visual Calculus: Fundamental Theorem of Calculus
This site visually explores the fundamental theorem of calculus. On-line animation helps the student visualize the process.
Other
Karl's Calculus Tutor: Fundamental Theorem of Calculus
Part of Karl's Calculus Tutorial, this page explains the fundamental theorem of calculus. The site includes examples for the student to work through.
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,...
Harvey Mudd College
Harvey Mudd College: Fundamental Theorem of Calculus
This site explains the fundamental theorem of calculus with examples.
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.
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...
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Integral Properties
The tutorial examines proofs of several properties of integrals. Topics discussed are the fundamental theorem of calculus, extreme value theorem, work, and mean value theorem. Class notes, proofs, and examples with detailed solutions are...
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.
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...
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...
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.
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.
Math Notes and Math Tests
Pre Calculus Notes: The Fundamental Theorem of Algebra (Fta) [Pdf]
Learners examine the fundamental theorem of algebra. The resource investigates the linear factorization theorem, Descartes's rule of signs, and rules for zeros.
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.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Line Integrals
The resource examines line integrals and interpretations of the line integral. Topics investigated are the fundamental theorem for line integrals, Green?s theorem, and conservative vector fields. Class notes, definitions, and examples...
Texas Instruments
Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus
This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.
CK-12 Foundation
Ck 12: Analysis: Fundamental Theorem of Algebra
[Free Registration/Login may be required to access all resource tools.] This lesson shows you how to find any solution, including imaginary ones, to a polynomial. Students examine guided notes, review guided practice, watch instructional...
Mathematics Archives
Math Archives: Visual Calculus: Polynomials
The definition and properties of polynomial functions are explained, and their graphs explored. Examples and LiveMath notebook activities make the site interactive in getting the students to test their knowledge of the material.
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...
Texas Instruments
Texas Instruments: What Is the Number "E"?
In this activity, students explore the fundamental theorem of calculus. They apply this theorem to understand the number "e" - the base of the natural logarithm. They also use integration and natural logarithmic function to solve a...
Texas Instruments
Texas Instruments: Average Value
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
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.
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.