Curated OER
Discussion Sheet 10: Improper Integrals
For 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 learning exercise, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page learning exercise contains approximately 25...
Curated OER
Worksheet 15: Integrals
In this integral instructional activity, students identify improper integrals as convergent or divergent. They compute the area and volume of regions bounded by a graph. This two-page instructional activity contains approximately...
Curated OER
Discussion Sheet 2: Indefinite Integrals
For 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 activity, students find the integral of given problems. This one-page, hand-written, activity contains 52 problems.
Curated OER
Triple Integrals Over Solid Regions
In this math worksheet, 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
Learners 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....
Curated OER
Integrals by Partial Fractions
Young scholars 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...
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....