Curated OER
Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
Curated OER
Making Choices
In this making choices worksheet, students find the integral of given problems. This one-page, hand-written, worksheet contains 52 problems.
Curated OER
Integrals by Partial Fractions
Students integrate integrals by the method of partial fractions. They then decompose fractions into two or more fractions to make them simpler rational expressions so that they can apply the basic integration formulas. Students also...
Curated OER
Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
University of Georgia
University of Georgia: Mean Value Theorem
This site has a detailed explanation of the Mean Value Theorem.
University of St. Andrews (UK)
University of St. Andrews: A History of the Calculus
A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Advanced Integration Techniques
Hotmath provides 23 practice problems dealing with advanced integration techniques. Each of the practice problems include a step-by-step guide for solving the integral.
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.
University of California
Ucla Mathematics: Triple Integral
Detailed site explaining the triple integral from the UCLA Mathematics department. Includes equations and examples.
University of Maryland
Evaluating Double Integrals
Comprehensive resource that explains the Double Integral.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: The Integral
The topic summary outlines integration. Some topics reviewed are antiderivatives, integration rules, and integrals. The resource consists of definitions, notes, and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Techniques and Applications of the Integral
The topic summary outlines techniques and applications of integration. Some topics reviewed are integration by parts, area between two curves, and improper integrals. The resource consists of definitions, notes, and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: The Integral
Students review integration. The resource consists of review exercises on the calculus concepts.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Quiz: The Integral
The online quiz assesses student comprehension of integration. The quiz consists of true/false questions on the calculus concepts.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Calculo Integral
In Spanish. Use this unit to learn, use and interpret the concept of definite and indefinite integral.
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.
Other
Seton Hall University: Riemann Integral
On-line tutorial explaining the Riemann Integral. Gives good diagrams, charts, and examples.
Other
Sierra College: Summary of Tests for Series
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: La Integral Definida Y La Function Area
In Spanish. This interactive unit visually presents the concept of the definite integral and its properties.
University College London
University College London: Hyperbolic Table of Contents
This is a good site from the University College London with links to the various sections on hyperbolics.
CK-12 Foundation
Ck 12: Analysis: Area Under the Curve
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
CK-12 Foundation
Ck 12: Analysis: Definition of a Limit
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...