Section:
Media/Videos:
Length
Source

5.1

The Definite Integral Understanding the Definition

9:13

PatrickJMT
 

Approximating a Definite Integral Using Rectangles

9:50

PatrickJMT
 

Calculating a Definite Integral Using Riemann Sums Part 1

6:16

PatrickJMT
 

Calculating a Definite Integral Using Riemann Sums Part 2

8:31

PatrickJMT
 

Riemann Sums with Notation

8:58

MSU

5.2

Properties of Definite Integrals

11:32

YouTube
 

Notation and Connection to Riemann Sums

7:39

MSU
5.3
Antiderivatives
 3:43
KhanAcademy
 
Power Rule for Antiderivatives
5:48 
KhanAcademy 
 
Antiderivative of Harder Examples
6:16
KhanAcademy
 
Antiderivative of 1/x
7:35
KhanAcademy
 
Basic Trig and Exponential - Antiderivatives
4:04 
KhanAcademy 
 
Initial Value Problem involving 2nd derivative
7:24 

MSU 

5.4

Intuition for the Fundamental Theorem of Calculus Part I

12:23

Khan Academy
 

Evaluating Siimple Definite Integral using FTCI

5:54

Khan Academy
 

Definite Integrals and Negative Area using FTCI

7:28

Khan Academy
 

Statement of the Fundamental Theorem of Calculus Part I

8:57

MSU

5.5

Fundamental Theorem of Calculus Part 2

9:26

PatrickJMT
 

Definite Integrals--FTC2

9:57

Khan Academy
 

Statement of the Fundamental Theorem of Calculus Part II

6:49

MSU

5.6

Application to Definite Integrals – Part 1

9:19

Khan Academy
 

Application to Definite Integrals - Part 2

9:16

Khan Academy
 

Distance Travelled vs Displacement

10:47

MSU

5.7

Antiderivatives: Integration Using U-Substitution

10:00

PatrickJMT
 

Integration by U-Substitution Example 2

10:03

PatrickJMT
 

Integration by U-Substitution: Definite-Integral

4:48

PatrickJMT
 

Idea behind Substitution Method

6:31

MSU
 

Definite Integral with Substitution Method

6:36

MSU
 

More difficult Substitution Method Problem

7:20

MSU