Integrals Teacher Resources

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Integrals

For Students 12th - Higher Ed
In this integrals activity, learners solve and complete 22 different types of problems. First, they evaluate each of the listed integrals provided on the sheet. Then, students solve each of the differential equations. They also graph a...
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Calculus Grapher

For Teachers 8th - 12th Standards
Learners draw a graph of any function to see its derivative and integral in this simple, yet informative, simulation. Other options include manipulating the scale, the shape of the graph, and the angle. 
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Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
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InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
10:08
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Integrals

For Students 9th - 12th Standards
How can you best teach your class to gauge distance when several other key factors are already in place? Pupils learn to use integrals to determine distance from a problem that includes multiple other key points of information....
1:46
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The Second Fundamental Theorem of Calculus

For Students 11th - Higher Ed
How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to evaluate a definite...
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Integration

For Teachers 12th
Twelfth graders investigate integration.  In this Calculus activity, 12th graders explore indefinite and definite integrals.  Students use technology (TI-89) to verify the solutions to problems requiring integration by parts.
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Integration

For Teachers 11th - 12th
Students integrate integrals.  In this integrating integrals lesson, students integrate definite and indefinite integrals.  Students use their Ti-89 to find the integrals of cubic, inverse, and trigonometric function graphs on a given...
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Calculus Assignment #5: Integrals

For Students 11th - 12th
In this calculus assignment learning exercise, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page learning exercise contains 14 problems. Answers are provided on page two...
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Proof That One Equals Zero (Using Calculus)

For Students 11th - 12th
For this proofs worksheet, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
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Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
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.
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2017 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...
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Lesson 33- Integration by Substitution continued

For Students 11th - 12th
Humongous Calculus problem of the day - "Two hikers begin ..." Use the properties of indefinite integers and indefinte integrals to solve this problem.  Six practice problems are included with space to do the work, as well as a...
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Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
In this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
5:59
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Volumes by Cylindrical Shells

For Students 11th - Higher Ed
Shells sometimes work better than washers. The AP Calculus video presents an example of finding the volume of a rotational solid by using the shell method. The method uses the integral of the lateral surface area of a cylinder as opposed...
3:23
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Volumes: Solids That are Not Solid of Revolution

For Students 11th - Higher Ed
Viewers learn how to calculate the volume when the cross section is not a circle by using the same principle as if it was a circle. The video goes through an example of finding the volume of a figure where the cross sections are squares...
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Nine Definite Integrals and Fundamental Theorem Of Calculus Problems

For Students 11th - Higher Ed
For this definite integral worksheet, student find the value of five definite integrals.  Student then explain why a definite integral inequality holds true.  Finally, students are given the graph of a functions and asked to determine...
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals

For Students 12th - Higher Ed
In 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.
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Calculus Test

For Students 11th - Higher Ed
In this calculus activity, learners integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam.  Problems include limits, derivatives, and integrals.  The four page worksheet contains twenty-eight problems.  Answers are not...
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals instructional activity, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use...
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals worksheet, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...
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Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your students 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...

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Integrals