Curated OER
Integrals Involving Trig. Functions
In this calculus worksheet, student evaluate twenty-one integrals. This worksheet is designed as a test with multiple-choice as well as free response problems.
Curated OER
Twenty Various Multiple Choice and Free-response Indefinite Integrals
In this integrals learning exercise, students integrate various indefinite integrals in six multiple choice and fourteen free response problems. These problems include: trigonometric functions, u substitutions, and Ln.
CK-12 Foundation
Work and Force: Lifting a Bucket
How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Curated OER
Integration
In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums. The one page worksheet contains twenty-three problems. Solutions are not provided.
Curated OER
Integration Review Part 1
In this college level calculus worksheet students apply various integrations techniques and use integration to determine the area bounded by curves. The three page worksheet contains eight problems Answers are not provided.
Curated OER
Getting a Little "Lift"out of Calculus
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
Curated OER
Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the topic,...
Curated OER
Integrals
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. Answers are...
Curated OER
Twenty-Eight Multiple Choice No Calculator AP Calculus AB Problems
In this AP Calculus AB practice exam instructional activity, students solve twenty-eight various multiple choice calculus problems without using a calculator.
Curated OER
AP Calculus Practice Exam AB Version-Section1-Part 1
In this calculus practice exam, students select the best answer to 28 multiple choice questions. Questions cover information from the entire year of calculus. A suggested time limit of 55 minutes is included.
Curated OER
Changing Order of Integration of a Triple Integral
For this math worksheet, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
Curated OER
Basic Calculus II: Numerical Integration
In this numerical integration instructional activity, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal...
Curated OER
Seventeen Various Integral Problems
In this integrals worksheet, students solve seventeen integral problems. One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.
Curated OER
Functions
In this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...
Curated OER
Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
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
Disc/Washer Method
Young scholars calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create sections...
Curated OER
NEXT GENERATION SPACECRAFT-Orion
Students investigate the volume of a solid. In this calculus lesson plan, students use integration to find the volume of a solid generated by a region, the Orion crew module.
Curated OER
Matrices
In this calculus learning exercise, learners practice solving equations of area and integrals. There are 14 multi-step problems.
Curated OER
Basic Calculus II: Techniques of Integration
In this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
Curated OER
Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
Curated OER
Multivariable Calculus
In this multiple integration worksheet, students set up and evaluate double and triple integrals. Students compute the volume of a tetrahedron bounded by defined planes.