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ap calc - ftc & integral defined functions

originally streamed in 2020 with Meghan DwyerTeacher
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Learn how to apply the Fundamental Theorem of Calculus and work with integral-defined functions for AP Calc AB and BC. This video walks through FTC Part 1 and Part 2, showing you how to differentiate integrals with variable limits and evaluate defini ...more

covered in this stream

units
Unit 6 – Integration and Accumulation of Change
topics
6.4 The Fundamental Theorem of Calculus and Accumulation Functions6.5 Interpreting the Behavior of Accumulation Functions Involving Area6.7 The Fundamental Theorem of Calculus and Definite IntegralsUsing FTC and Integral Defined Functions

timestamps

  • 0:00

    Course Introduction

  • 0:37

    Presenter and Slides Overview

  • 1:08

    FTC and Functions Topic

  • 1:38

    Weekly Stream Schedule

  • 2:09

    Prior Knowledge Poll

  • 2:43

    Session Structure Review

  • 3:13

    FTC Parts Explained

  • 3:46

    Continuity and Derivatives

  • 4:50

    FTC Part One Details

  • 5:22

    FTC Part Two Details

  • 5:54

    Graphical Explanation Start

  • 6:58

    Area Between Bounds

  • 8:02

    Proving FTC Part Two

  • 9:36

    Integral Function Problems

  • 10:06

    Solving Strategies Overview

  • 11:39

    Practice Problems Begin

  • 12:10

    First Practice Problem

  • 14:42

    Second Practice Problem

  • 15:47

    Calculator Integration Example

  • 19:55

    Third Practice Problem

  • 21:59

    Differentiable Function Analysis

  • 23:36

    Solving for h(x)

  • 26:46

    Fourth Practice Problem

  • 29:59

    Parallel Tangent Lines

  • 32:03

    Solving for c Value

  • 34:45

    Gas Accumulation Function

  • 36:55

    Rate Integral Interpretation

  • 37:27

    Glass Temperature Problem

  • 39:12

    Integral of t Prime

  • 41:33

    Meaning and Units

  • 43:41

    Real-World Applications

  • 46:50

    FTC Review Summary

  • 47:51

    Strategies Recap

  • 51:00

    Closing and Schedule

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social science

āœŠšŸæ ap african american studiesšŸ—³ļø ap comparative government🚜 ap human geographyšŸ’¶ ap macroeconomicsšŸ¤‘ ap microeconomics🧠 ap psychologyšŸ‘©šŸ¾ā€āš–ļø ap us government

english & capstone

āœšŸ½ ap english languagešŸ“š ap english literaturešŸ” ap researchšŸ’¬ ap seminar

arts

šŸŽØ ap art & designšŸ–¼ļø ap art historyšŸŽµ ap music theory

science

🧬 ap biology🧪 ap chemistryā™»ļø ap environmental sciencešŸŽ” ap physics 1🧲 ap physics 2šŸ’” ap physics c: e&māš™ļø ap physics c: mechanics

math & computer science

🧮 ap calculus abā™¾ļø ap calculus bcšŸ“ ap precalculusšŸ“Š ap statisticsšŸ’» ap computer science aāŒØļø ap computer science p

world languages

šŸ‡ØšŸ‡³ ap chinesešŸ‡«šŸ‡· ap frenchšŸ‡©šŸ‡Ŗ ap germanšŸ‡®šŸ‡¹ ap italianšŸ‡ÆšŸ‡µ ap japanesešŸ›ļø ap latinšŸ‡ŖšŸ‡ø ap spanish languagešŸ’ƒšŸ½ ap spanish literature

go beyond AP

high school exams

āœļø PSATšŸŽ“ Digital SATšŸŽ’ ACT

honors classes

šŸ¬ honors algebra IIšŸ«€ honors anatomyšŸ‡ honors biologyšŸ‘©šŸ½ā€šŸ”¬ honors chemistryšŸ’² honors economicsšŸ“ honors geometryāš¾ļø honors physicsšŸ“ honors pre-calculusšŸ“Š honors statisticsšŸ—³ļø honors us governmentšŸ‡ŗšŸ‡ø honors us historyšŸŒŽ honors world history

college classes

šŸ‘©šŸ½ā€šŸŽ¤ artsšŸ‘” businessšŸŽ¤ communicationsšŸ—ļø engineeringšŸ““ humanitiesāž— mathšŸ§‘šŸ½ā€šŸ”¬ sciencešŸ’¶ social science

hs classes

šŸ›ļø alabama historyā›°ļø appalachian studies🌓 california historyšŸŒ earth science🌐 ethnic studies🐊 florida historyšŸ‘ georgia historyšŸŒŽ global studies🌺 hawaiian studiesšŸ“° journalism🪶 native american studies🌵 new mexico history🤠 oklahoma historyāš—ļø physical sciencešŸŽ™ļø speech and debatešŸ¤ texas government🤠 texas history🌲 washington state historyšŸ•Šļø world religions
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APĀ® and SATĀ® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.