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College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Lab 4: Integration by Substitution
For this integration worksheet, students transform antiderivatives and integrals by using substitution functions. They sketch graphs of two antiderivatives and describe their relationship. Students use trigonometric identities to find...
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Graphing Trigonometric Functions
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
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Integration Strategies
For this integration worksheet, students determine the best technique of integration to use. They evaluate given integrals. This one page worksheet contains nine multi-step problems.
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Evaluate Integrals
In this evaluate integrals worksheet, students solve and complete 10 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students substitute and use integral formulas for sine functions....
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Evaluate Integrals
In this evaluating integrals worksheet, students solve and complete 30 various types of problems. First, they use the trigonometric identity to rewrite the integrals. Then, students substitute and use integral formulas for sine function.
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Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Integration Involving Inverse Trig Functions
Young scholars review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Young scholars review their trig and inverse...
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Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals
For this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
College Board
2002 AP® Calculus BC Free-Response Questions Form B
Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...
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Integrated Algebra: State Exam
In this integrated algebra worksheet, young scholars solve problems related to topics covered in algebra for the entire year. Topics include, but are not limited to, inequalities, probability, functions, interval notation,...
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Making Choices
In this making choices worksheet, students find the integral of given problems. This one-page, hand-written, worksheet contains 52 problems.
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
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Newton's Laws of Motion
Students investigate the effect of thin films to surface friction. In this physics instructional activity, students calculate the coefficient of friction using mathematical formulas. They discuss its importance in their everyday lives.
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Worksheet 4 - Math 126: Sketching Polar Equations
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
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Review of Calculus BC II
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series. The one page...
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Integrals with Even Powers of Sine and Cosine
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
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The Exact Differential
Learners integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Learners...
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Pilots, Airplanes, and the Tangent of Three Degrees
Students explore how to use trigonometry in the aviation field. In this aviation instructional activity students complete trigonometry equations that show what planes should do to land their airplanes.
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Precalculus Exam
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Silly Sammie Seal
In this seal worksheet, students match deratives and intervals to their answer. They match equivalent problems. This one-page worksheet contains 22 problems.