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Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
Curated OER
Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
Curated OER
Integrals
In this integrals worksheet, students solve and complete 20 various types of problems. First, they evaluate each of the listed integrals shown. Then, students find the area under the graph given and above the x-axis between two points....
Curated OER
Related Rate Problems
In this calculus worksheet, students solve problems that involve related rates. The two page worksheet contains twenty-four problems. Answers are not provided.
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Worksheet 19
In this math worksheet, learners try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.
Curated OER
Infinite Series
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
Curated OER
Worksheet 17 Practice Exam
In this math worksheet, learners complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.
Curated OER
Exploration 3: Introduction to Definite Integrals
In this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
Curated OER
Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
Curated OER
Computing Indefinite Integrals
Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Curated OER
Seeing Mathematics in the Forces of Nature
Students study waves and their characteristics. In this wave lesson students calculate the speed of waves, wavelength and the period.
Khan Academy
Khan Academy: Area Between Curves
By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.
Other
Area Between Curves
Site explains using an example how to find the area between curves using a calculator.
Analyze Math
Analyze Math: Find Area Under Curve
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
Paul Dawkins
Paul's Online Notes: Calculus I: Area and Volume Formulas
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Integrals
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Texas Instruments
Texas Instruments: The Region Between Two Curves
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
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.