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\nLesson Planet Curated\n
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\nAP Calculus AB Unit 6: Integration and Accumulation of Change\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nThe 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...\n
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\n\n38\nItems in Topic\n\n
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\nLesson Planet Curated\n
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\nAP Calculus AB\n

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\n\nFor Students\n\n11th - 12th\n
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\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n
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eBook
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\n\"Calculus\n\n
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\nRice University\n
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\nCalculus Volume 1\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDifferentiate 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...\n
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Handout
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\n\"Math\n\n
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\nMath Handbook: Calculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nIf 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...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep17:00
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Integrating Using Substitution\n

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\n\nFor Students\n\n10th - 12th\n
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\nU is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals. \n
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Worksheet
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\nThe Substitution Rule\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this college level Calculus worksheet, students use the Substitution Rule to evaluate the given integrals.  The one page worksheet contains nineteen problems.  Answers are not provided. \n
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\n\"Integration\n\n
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\nCurated OER\n
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\nIntegration by Substitution\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nLooking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...\n
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AP Test Prep10:09
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\n\"Calculus\n\n
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\nCalculus AB/BC - L'Hopital's Rule\n

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\nDirect substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...\n
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Interactive
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\nThe Method of U-Substitution\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this calculus activity, students solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.\n
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Instructional Video5:06
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\n\"Derivatives\n\n
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\nKrista King Math\n
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\nDerivatives of Inverse Trig Functions - Arcsin\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nPut another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...\n
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Interactive
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\n\"Word\n\n
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\nCurated OER\n
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\nWord Problems\n

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\n\nFor Students\n\n10th - 11th\n
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\nFor this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.\n
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\nThe Integration of Exponential Functions\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus activity, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.\n
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\nThe Method of Integration by Parts\n

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\nIn this calculus instructional activity, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.\n
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Lesson Plan
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\n\"TI-89\n\n
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\nCurated OER\n
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\nTI-89 Activities for PreCalculus and AP Calculus\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUsing the TI-89 calculator, high schoolers explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations,...\n
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\nReview for Test on sections 6.2-6.3\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....\n
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Lesson Plan
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\nCurated OER\n
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\nTest on Chapter 8\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....\n
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Lesson Plan
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\nCurated OER\n
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\nReview of Techniques of Integration\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders review techniques of integration. In this calculus lesson plan, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle...\n
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Worksheet
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\n\"Integration\n\n
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\nCurated OER\n
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\nIntegration By Parts\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nin this math learning exercise, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.\n
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Instructional Video11:28
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\nKrista King Math\n
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\nThe Precise Definition of the Limit Explained!\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIt's all Greek to me. Young mathematicians learn how to use the epsilon-delta definition of a limit with a video that shows how to find the relationship between epsilon and delta for a given limit equation.\n
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Activity
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\n\"Paul's\n\n
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\nPaul Dawkins\n
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\nPaul's Online Notes: Calculus I: Integrals\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Calculus: Definite Integral With Substitution\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson that demonstrates finding the definite integral of a trigonometric function by using integration by substitution and then showing an alternate way to get the solution. [8:54]\n
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Instructional Video
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\nKhan Academy\n
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\nKhan Academy: Calculus: Another U Substitution Example\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson on finding the indefinite integral of a composite trigonometric function by using integration by substitution. [5:57]\n
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Instructional Video
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\nKhan Academy\n
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\nKhan Academy: Calculus: (2^Ln X)/x Antiderivative Example\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson showing how to solve for the antiderivative of (2^ln x)/x by using u-substitution. [8:40]\n
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Lesson Plan
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\n\"Finite\n\n
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\nStefan Warner and Steven R. Costenoble\n
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\nFinite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...\n
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