台灣黑皮歐巴桑的學習祕笈

中英文版(高三下數學)第二章第三節 積分的意義 ( 上和、下和與面積 / 定積分 /  定積分與面積 / 不定積分 / 微積分基本定理 )

新課綱複習數甲 CH3 積分
https://www.youtube.com/watch?v=8zTn1Ge9DTc&list=PL1AXm_wWCg-SfKhZkpXM55S56hzzTG0-N

高中_數學_多項式函數的微積分_上和下和與面積
https://www.youtube.com/watch?v=srZVFabsQC8

高中_數學_多項式函數的微積分_定積分、定積分與面積
https://www.youtube.com/watch?v=Lthhzi96zEI

高中_數學_多項式函數的微積分_旋轉體的體積2、定積分在運動學上的應用
https://www.youtube.com/watch?v=tkHciTlwKS4

高中_數學_多項式函數的微積分_定積分、定積分與面積
https://www.youtube.com/watch?v=Lthhzi96zEI

【微積分/Calculus】4-1 反導函數/不定積分/Antiderivatives
https://www.youtube.com/watch?v=5dCHqvnjGJE

高中_數學_多項式函數的微積分_微積分基本定理
https://www.youtube.com/watch?v=ZekKEN5v7vc

高三進度｜微積分｜EP11.1 黎曼和(1)｜楊翰數學
https://www.youtube.com/watch?v=h889SUjOELs

高三進度｜微積分｜EP11.2 黎曼和的誤差｜楊翰數學
https://www.youtube.com/watch?v=bt6y9YrS57I

高三進度｜微積分｜EP11.3 黎曼和與定積分｜楊翰數學
https://www.youtube.com/watch?v=2aQADRuUMmU

高三進度｜微積分｜EP11.4 定積分的性質｜楊翰數學
https://www.youtube.com/watch?v=tKpgbpigfuA

高三進度｜微積分｜EP12.1 微積分基本定理(觀念)｜楊翰數學
https://www.youtube.com/watch?v=nvUoNn1H5zw

高三進度｜微積分｜EP12.2 微積分基本定理(計算)｜楊翰數學
https://www.youtube.com/watch?v=znVtpHLmays

B6(數甲下)--2-3積分的意義(Fang Cheng版本)
https://www.youtube.com/watch?v=k0YsQx6zL64&list=PLggQDlmnRsqD6JnUCyIufZOSsDSpqeFTt

高中_數學_微積分在高中物理的應用(二)
https://www.youtube.com/watch?v=lVJLjafpsSo
https://www.youtube.com/watch?v=y-MlWPVc83I
https://www.youtube.com/watch?v=A2S7WWlo1hw
https://www.youtube.com/watch?v=9nnzjULyTCk
https://www.youtube.com/watch?v=XpqgjapAo1s

高中_數學_面積與積分
https://www.youtube.com/watch?v=sbxYjdA3Y-Q
https://www.youtube.com/watch?v=rLKpbA24GLE
https://www.youtube.com/watch?v=pWVSdRyjsMg
https://www.youtube.com/watch?v=fdw4hCG3BkE
https://www.youtube.com/watch?v=5prOitmsh7g

高中_數學_微積分的基本定理
https://www.youtube.com/watch?v=4JNNIG6D5gs
https://www.youtube.com/watch?v=YuIeWMtb9e4
https://www.youtube.com/watch?v=6PV_VCHy-dA
https://www.youtube.com/watch?v=DnhAazbMzAs
https://www.youtube.com/watch?v=-Gp6yEHqh0w

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
https://www.youtube.com/watch?v=rfG8ce4nNh0

Real Analysis | Partitions and upper/lower sums.
https://www.youtube.com/watch?v=CHO_6rX8e7o

Upper and Lower Sums
https://www.youtube.com/watch?v=4o79_FDNcmY
What is Integration? Finding the Area Under a Curve
https://www.youtube.com/watch?v=FsC3do74UIo
Finding the Area Between Two Curves by Integration
https://www.youtube.com/watch?v=xec6HTcn2M8

Area Between Two Curves
https://www.youtube.com/watch?v=kgg5Rspf1Js&t=2s

Calculus: Why does integrating a function give area under its curve?
https://www.youtube.com/watch?v=U3u0PF7n-xg

Basic Integration Rules & Problems, Riemann Sum, Area, Sigma Notation, Fundamental Theorem, Calculus
https://www.youtube.com/watch?v=WDZMjYJyH6k

Definite Integral
https://www.youtube.com/watch?v=Gc3QvUB0PkI&t=12s

Indefinite Integral
https://www.youtube.com/watch?v=JTFMeSCxgcA&t=471s

Evaluating Definite Integrals Using Geometry
https://www.youtube.com/watch?v=ghxEOz9rmwE

What's the difference between a DEFINITE integral and an INDEFINITE integral? | CALCULUS
https://www.youtube.com/watch?v=sjhtp1s4XJ4

Finding The Area Under The Curve Using Definite Integrals - Calculus
https://www.youtube.com/watch?v=UjTTx2eYrx8

Riemann Sums - Midpoint, Left & Right Endpoints, Area, Definite Integral, Sigma Notation, Calculus
https://www.youtube.com/watch?v=AkUa9Fkz2rw

Calculus - The Fundamental Theorem, Part 1
https://www.youtube.com/watch?v=9bJ2Z1jbIAE

Calculus - The Fundamental Theorem, Part 2
https://www.youtube.com/watch?v=MqyKCyyIJZw

Calculus - The Fundamental Theorem, Part 3
https://www.youtube.com/watch?v=z87WPkRrShE

Calculus - The Fundamental Theorem, Part 4
https://www.youtube.com/watch?v=eg3kqgTFQBw

Calculus - The Fundamental Theorem, Part 5
https://www.youtube.com/watch?v=JJW-OS4uT-w

Calculus, what is it good for?
https://www.youtube.com/watch?v=0Be_6Qaq1es

Area under and between Curves by Integration | ExamSolutions
https://www.youtube.com/watch?v=T3McJeGuAiw

The Fundamental Theorem of Calculus: Redefining Integration
https://www.youtube.com/watch?v=NLU9U8-wJrM

Upper and Lower Sums
https://www.youtube.com/watch?v=JvADJcYF8ns

Areas by Integration (1 of 6: Basic area under curve)
https://www.youtube.com/watch?v=c8W9_iaERnU

Areas by Integration (2 of 6: Area between curve & both axes)
https://www.youtube.com/watch?v=su9-sz5p3vc

Areas by Integration (3 of 6: Curve enclosing multiple regions)
https://www.youtube.com/watch?v=UyM3qudctYs

Areas by Integration (4 of 6: Area by subtraction)
https://www.youtube.com/watch?v=0hETCIftw3I

Areas by Integration (5 of 6: Integrating from the y-axis)
https://www.youtube.com/watch?v=Z3Vgv5cna1w

Areas by Integration (6 of 6: Area under y = ln x)
https://www.youtube.com/watch?v=dE6yr8tiqy8

Definite & Indefinite Integrals
https://www.youtube.com/watch?v=Zg4dJVvwRko

Finding the Area Under a Curve using Definite Integration
https://www.youtube.com/watch?v=caXs1CoKjfk

Fundamental theorem of calculus (Part 1) | AP Calculus AB | Khan Academy
https://www.youtube.com/watch?v=C7ducZoLKgw

Fundamental theorem of calculus (Part 2) | AP Calculus AB | Khan Academy
https://www.youtube.com/watch?v=JbfVrwxuPxM

部分資料來源: 學習吧
https://www.learnmode.net/knowledge/version?p=26#focus