Fundamental Theorem of Calculus Teacher Resources

Part of Karl's Calculus Tutorial, this page explains the fundamental theorem of calculus. The site includes examples for the student to work through.

A video proving 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,...

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.

This site visually explores the fundamental theorem of calculus. On-line animation helps the student visualize the process.

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!

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...

This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.

This site explains the fundamental theorem of calculus with examples.

A demonstration of the Fundamental Theorem Of Calculus to obtain the area under a curve.

This video use the Fundamental Theorem of Calculus to solve a problem.

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...

This video connect the First and the Second Theorem of Calculus.

The process of applying the limits of integration for a definite integral is introduced here. This lesson is 5 of 5 in the series titled "Second Fundamental Theorem of Calculus."

A video showing a way to evaluate a definite integral.

The process of applying the limits of integration for a definite integral is introduced here. This lesson is 2 of 5 in the series titled "Second Fundamental Theorem of Calculus."

The process of applying the limits of integration for a definite integral is introduced here. This lesson is 4 of 5 in the series titled "Second 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.

This video [4:48] shows how to determine the integral of an unusual function using geometry to find the area under the curve. Also shows how to find the derivative of a function which contains an integral by using the Fundamental Theorem...

Video lesson explaining why the antiderivative is the area under a curve. Provides an introduction to the fundamental theorem of calculus. [9:46]

[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...

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...

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...

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.