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【AP微积分AB/BC】06：积分 Integration & accumulation of change 69集全【可汗学院】【官网最新版】

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2020-04-19 10:43:55

https://www.khanacademy.org/math/ap-calculus-bc/bc-integration-new 配合练习食用更愉快！视频命名方式：单元-编号，每一单元对应1-4个练习，几个单元放一起有Quiz。最后2P是选看。更新至2020年4月18日。

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热衷于跨领域/theatre/edtech/教育公平/性别平等的Queer Cornellian (๑\'ᴗ\')ゞ

1-1 Introduction to integral calculus _ Accumulation and Riemann sums _ AP Calcu

04:52

1-2 Definite integrals intro _ Accumulation and Riemann sums _ AP Calculus AB _

02:28

1-3 Worked example - problem involving definite integral (graphical) _ AP Calcul

06:55

2-1 Riemann approximation introduction _ Accumulation and Riemann sums _ AP Calc

06:45

2-2 Over- and under-estimation of Riemann sums _ AP Calculus AB _ Khan Academy-E

04:01

2-3 Worked example - finding a Riemann sum using a table _ AP Calculus AB _ Khan

06:39

2-4 Worked example - over- and under-estimation of Riemann sums _ AP Calculus AB

04:42

2-5 Midpoint sums _ Accumulation and Riemann sums _ AP Calculus AB _ Khan Academ

05:29

2-6 Trapezoidal sums _ Accumulation and Riemann sums _ AP Calculus AB _ Khan Aca

08:28

3-1 Sigma notation for sums _ Sequences, series and induction _ Precalculus _ Kh

04:27

3-2 Worked examples - Summation notation _ Accumulation and Riemann sums _ AP Ca

05:21

3-3 Riemann sums in summation notation _ Accumulation and Riemann sums _ AP Calc

08:31

3-4 Worked example - Riemann sums in summation notation _ AP Calculus AB _ Khan

07:07

3-5 Definite integral as the limit of a Riemann sum _ AP Calculus AB _ Khan Acad

04:26

3-6 Worked example - Rewriting definite integral as limit of Riemann sum _ AP Ca

05:35

3-7 Worked example - Rewriting limit of Riemann sum as definite integral _ AP Ca

06:35

4-1 Fundamental theorem of calculus (Part 1) _ AP Calculus AB _ Khan Academy-C7d

08:03

4-2 Functions defined by definite integrals (accumulation functions) _ AP Calcul

04:18

4-3 Finding derivative with fundamental theorem of calculus _ AP®︎ Calculus AB _

03:24

4-4 Finding derivative with fundamental theorem of calculus - chain rule _ AP®︎

03:07

5-1 Interpreting behavior of _ from graph of _'=ÃÂ _ AP Calculus AB _ Khan A

08:22

6-1 Negative definite integrals _ Integration and accumulation of change _ AP Ca

05:24

6-2 Finding definite integrals using area formulas _ AP Calculus AB _ Khan Acade

04:17

6-3 Definite integral over a single point _ AP Calculus AB _ Khan Academy-q3qvkZ

02:31

6-4 Integrating scaled version of function _ AP Calculus AB _ Khan Academy-JyArK

05:21

6-5 Switching bounds of definite integral _ AP Calculus AB _ Khan Academy-L5eBJj

04:37

6-6 Integrating sums of functions _ Accumulation and Riemann sums _ AP Calculus

06:46

6-7 Worked examples - Definite integral properties 1 _ AP Calculus AB _ Khan Aca

02:19

6-8 Breaking up integral interval _ Accumulation and Riemann sums _ AP Calculus

03:06

6-9 Functions defined by integrals _ Accumulation and Riemann sums _ AP Calculus

07:25

6-10 Worked example - Merging definite integrals over adjacent intervals _ AP Ca

04:02

6-11 Functions defined by integrals - switched interval _ AP Calculus AB _ Khan

02:54

6-12 Finding derivative with fundamental theorem of calculus - x is on lower bou

03:00

6-13 Finding derivative with fundamental theorem of calculus - x is on both boun

05:04

7-1 Fundamental theorem of calculus (Part 2) _ AP Calculus AB _ Khan Academy-Jbf

04:45

7-2 Antiderivatives and indefinite integrals _ AP Calculus AB _ Khan Academy-MMv

03:43

8-1 Reverse power rule _ AP Calculus AB _ Khan Academy-QxbJsg-Vdms

05:48

8-2 Indefinite integrals - sums & multiples _ AP Calculus AB _ Khan Academy-YwR_

04:56

8-3 Rewriting before integrating _ AP Calculus AB _ Khan Academy-hzSef_HVqz4

05:17

9-1 Indefinite integral of 1_x _ AP Calculus AB _ Khan Academy-sPPjk4aXzmQ

07:35

9-2 Indefinite integrals of sin(x), cos(x), and e_ _ AP Calculus AB _ Khan Acade

04:04

10-1 Definite integrals - reverse power rule _ AP Calculus AB _ Khan Academy-auO

04:14

10-2 Definite integral of rational function _ AP Calculus AB _ Khan Academy-4WJU

05:05

10-3 Definite integral of radical function _ AP Calculus AB _ Khan Academy-5UWdz

03:51

10-4 Definite integral of trig function _ AP Calculus AB _ Khan Academy-ldLdWj6D

05:00

10-5 Definite integral involving natural log _ AP Calculus AB _ Khan Academy-JMq

07:27

10-6 Definite integral of piecewise function _ AP Calculus AB _ Khan Academy-f5q

06:14

10-7 Definite integral of absolute value function _ AP Calculus AB _ Khan Academ

06:53

11-1 u_substitution intro _ AP Calculus AB _ Khan Academy-b76wePnIBdU

05:12

11-2 u_substitution - multiplying by a constant _ AP Calculus AB _ Khan Academy-

05:33

11-3 u_substitution - defining u _ AP Calculus AB _ Khan Academy-r5XXDSOh5Nk

03:35

11-4 u_substitution - defining u (more examples) _ AP Calculus AB _ Khan Academy

04:34

11-5 u_substitution - rational function _ AP Calculus AB _ Khan Academy-Zp5z0wa0

04:04

11-6 u_substitution - logarithmic function _ AP Calculus AB _ Khan Academy-OLO64

03:39

11-7 u_substitution - definite integrals _ AP Calculus AB _ Khan Academy-paNqHnR

05:53

11-8 u_substitution - definite integral of exponential function _ AP Calculus AB

07:53

12-1 Dividing expressions to evaluate integral _ AP Calculus BC _ Khan Academy-5

05:18

12-2 Integration using completing the square and the derivative of arctan(x) _ K

05:28

13-1 Integration by parts intro _ AP Calculus BC _ Khan Academy-dh__n9FVKA0

03:52

13-2 Integration by parts - Âºx_cos(x)dx _ AP Calculus BC _ Khan Academy-bZ8YAH

03:52

13-3 Integration by parts - Âºln(x)dx _ AP Calculus BC _ Khan Academy-iw5eLJV0S

03:50

13-4 Integration by parts - Âºx^2*e^x_dx _ AP Calculus BC _ Khan Academy-n-iEqL

06:46

13-5 Integration by parts - definite integrals _ AP Calculus BC _ Khan Academy-v

05:43

13-6 Integration by parts - Âº_e^x*cos(x)dx _ AP Calculus BC _ Khan Academy-LJq

07:17

14-1 Integration with partial fractions _ AP Calculus BC _ Khan Academy-Mt92Ozs7

07:19

15-1 Introduction to improper integrals _ AP Calculus BC _ Khan Academy-qv7DM5Ph

03:52

16-1 Divergent improper integral _ AP Calculus BC _ Khan Academy-9VqL6POWIoc

02:42

0-1 Proof of fundamental theorem of calculus _ AP Calculus AB _ Khan Academy-pWt

14:00

0-2 Intuition for second part of fundamental theorem of calculus _ AP Calculus A

12:24

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