Curated OER
Discussion Sheet 10: Improper Integrals
In this improper integral worksheet, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...
Curated OER
ESP Quiz 6
In this indefinite integrals worksheet, students compute the answers to five computation problems. The worksheet is intended to be used as a quiz.
Curated OER
Worksheet 12: Area of Regions
In this area of regions worksheet, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page worksheet contains approximately 25 problems. This is a...
Curated OER
Worksheet 15: Integrals
In this integral worksheet, students identify improper integrals as convergent or divergent. They compute the area and volume of regions bounded by a graph. This two-page worksheet contains approximately twenty-five problems. This is...
Curated OER
Discussion Sheet 2: Indefinite Integrals
In this indefinite integral worksheet, students compute the volume of a solid located between planes. They evaluate the average value of functions over a given interval and sketch functions. Students find the sum of numbers in a...
Curated OER
Basic Calculus II: Quiz 8
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
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
Triple Integrals Over Solid Regions
In this math learning exercise, students investigate a solid mass that is suspended. Then they find the integral to help define its placement in space.
Curated OER
Integrals with Odd Powers of Secant and Tangent
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They...
Curated OER
Integrals with Even Powers of Secant and Tangent
Pupils integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first integral. They...
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....
Massachusetts Institute of Technology
Mit: Calculus for Beginners and Artists
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
University of California
Uc Davis: Trigonometric Integrals
This site lists numerous trigonometric identities and integrals. It also provides several examples of how to solve integrals.
University of California
Uc Davis: Solutions to Trigonometric Integrals
This site gives example problems for solving trigonometric integrals and provides step by step solutions.
Wolfram Research
Wolfram Math World: Calculus
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Wolfram Research
Wolfram Mathworld: Riemann Sum
This site discusses a Riemann Sum and how it relates to Integral Calculus. Includes definitions, graphs, and a customizable database for figuring a Riemann Sum.
University of Vienna (Austria)
University of Vienna: Definite Integrals Sine Function
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...
University of Vienna (Austria)
University of Vienna: Definite Integrals Cosine Function
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...
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.
Math2
Math2
This is a site for students and teachers of all grade levels. If you are looking for math tables, general information about math topics, or you would like to ask a question, this is the site to visit.
Texas Instruments
Texas Instruments: Let's Integrate All Things Easy
This activity is designed to help students deal with the method of integration by parts. In this method, students usually have trouble figuring out what they should set u equal to.
Texas Instruments
Texas Instruments: Integration Crossing
This worksheet allows the students the opportunity to learn how to use the graphing calculator to compute anti-derivatives.