Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Numerical and Graphical Approaches

For Students 9th - 10th
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...
Lesson Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc

For Teachers 9th - 10th
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...
Unknown Type
Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Integrals

For Students 9th - 10th
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...
Activity
Other

Karl's Calculus Tutor: Integrals

For Students 9th - 10th
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.
Activity
Other

Xetc: Integral Definida

For Students 9th - 10th
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.
Handout
Wolfram Research

Wolfram Mathworld: Definite Integral

For Students 9th - 10th
Good site explaining the definite integral. This site also gives the integration rules for Definite Integrals, along with definitions and examples.
Activity
Texas Instruments

Texas Instruments: Exploring the Fundamental Theorem of Calculus

For Teachers 9th - 10th
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,...
Activity
Texas Instruments

Texas Instruments: Fundamental Theorem of Calculus

For Teachers 9th - 10th
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Integrals

For Students 9th - 10th
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.
Activity
Texas Instruments

Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus

For Teachers 9th - 10th
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...
Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
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...
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: Accumulation Functions

For Teachers 9th - 10th
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.
Unknown Type
Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
Given a word problem that involves rates and accumulation, find the appropriate expression for solving the problem.
Activity
Interactive Mathematics

Interactive Mathematics: Integration

For Students 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Integration

For Teachers 9th - 10th
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.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Integration Techniques

For Students 9th - 10th
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...
Handout
Wolfram Research

Wolfram Math World: Improper Integrals

For Students 9th - 10th
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Graphic
Math Medics

S.o.s. Math: Improper Integrals

For Students 9th - 10th
This math lesson explains Improper Integrals with definitions and examples.
Unknown Type
BBC

Bbc: Integration

For Students 9th - 10th
Several topics of integration are presented, including definite and indefinite integrals, trig integration, and area under curves. Examples and a practice test are included.
Activity
Analyze Math

Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)

For Students 9th - 10th
The applet examines the definition of the natural logarithm ln(x).
Lesson Plan
Texas Instruments

Texas Instruments: Area Under Curve

For Teachers 9th - 10th
This activity will illustrate the idea of using the definite integral to represent the area bounded by a function and the x-axis.