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University of Vienna (Austria)

University of Vienna: Definite Integrals Sine Function

For Students 9th - 10th
A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...
Unknown Type
University of Vienna (Austria)

University of Vienna: Definite Integrals Cosine Function

For Students 9th - 10th
A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...
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...
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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.
Lesson Plan
Other

Metal: Integration [Pdf]

For Teachers 9th - 10th
The resource is a lesson guide that teaches the mathematical concept of integration. The guide brings alive the topic of integration and its applications. Topics include definite integrals, integration with exponential functions, and...
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: Planting & Harvesting an Application of the Definite

For Teachers 9th - 10th
In this Derive activity, students apply the concept of definite integration and decide when a farmer should plant and harvest a crop of clover.
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...
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
Interactive Mathematics

Interactive Mathematics: The Definite Integral

For Students 9th - 10th
This demonstration allows you to see the process of finding the definite integral of a function, then put that process to practice in several examples. The definite integral is applied to real world situations such as work and average...
Unit Plan
Wolfram Research

Wolfram Math World: Leibniz Integral Rule

For Students 11th - 12th
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
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.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Integral Definida Y La Function Area

For Students 9th - 10th
In Spanish. This interactive unit visually presents the concept of the definite integral and its properties.
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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
Texas Instruments

Texas Instruments: Approximating Integrals With Riemann Sums

For Teachers 9th - 10th
In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.
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
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
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
Texas Instruments

Texas Instruments: Integration Advanced Placement

For Teachers 9th - 10th
In this activity, students learn and explore two types of integrals: Indefinite and Definite.
Activity
Texas Instruments

Texas Instruments: Discovering Fundamental Fact About Integration

For Teachers 9th - 10th
This activity sets up a spreadsheet that lets students enter functions in the first column, and then calculates the integral in the second column with boundaries determined by the student. It also shows the symbolic integral with...
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.
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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
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Calculo Integral

For Students 9th - 10th
In Spanish. Use this unit to learn, use and interpret the concept of definite and indefinite integral.