9:14

❖ The Definite Integral - Understanding the Definition ❖

Patrick J

9:50

Approximating a Definite Integral Using Rectangles

Patrick J

6:16

❖ Calculating a Definite Integral Using Riemann Sums - Part 1 ❖

Patrick J

8:31

❖ Calculating a Definite Integral Using Riemann Sums - Part 2 ❖

Patrick J

10:00

❖ Basic Integration Problems ❖

Patrick J

8:46

❖ Integration by Parts ❖

Patrick J

6:13

❖ Integration by Parts - Definite Integral ❖

Patrick J

6:08

Integration By Parts - Using IBP's Twice

Patrick J

8:08

❖ Integration by Parts - The Original Integral Appears after Using IBP's Twice?! ❖

Patrick J

5:37

Deriving the Integration by Parts Formula - Easy!

Patrick J

10:00

❖ Integration using U-Substitution ❖

Patrick J

4:48

Integration by U-Substitution, Definite Integral

Patrick J

5:54

U-substitution - Indefinite Integral, Another 2 examples

Patrick J

10:04

❖ U-Substitution - More Complicated Examples ❖

Patrick J

14:09

❖ Trigonometric Substitution ❖

Patrick J

12:51

❖ Trigonometric Substitution Ex 4, Part 1 ❖

Patrick J

1:27

❖ Trigonometric Substitution Ex 4, Part 2 ❖

Patrick J

7:22

❖ Trigonometric Substitution - Example 2 ❖

Patrick J

9:30

Trigonometric Substitution - Example 3 / Part 1

Patrick J

4:20

Trigonometric Substitution - Example 3 / Part 2

Patrick J

7:28

❖ Trigonometric Substitution with Secant: A Step-by-Step Example ❖

Patrick J

5:22

❖ Trigonometric Substitution Using Secant ❖

Patrick J

4:01

❖ Trigonometric Substitution : Definite Integral ❖

Patrick J

7:42

❖ Trigonometric Substitution with Sine and U-Substitution: A Step-by-Step Example ❖

Patrick J

5:09

Integrating Exponential Functions - Examples 1 and 2

Patrick J

5:19

Integrating Exponential Functions - Examples 3 and 4

Patrick J

3:20

Integration Using Inverse Trigonometric Functions - Ex 1

Patrick J

5:30

Integration Using Inverse Trigonometric Functions - Ex 2

Patrick J

5:57

❖ Trigonometric Integrals - Odd Powers of Sine And/Or Cosine ❖

Patrick J

6:02

Trigonometric Integrals - Part 2 of 6

Patrick J

5:54

Trigonometric Integrals - Part 3 of 6

Patrick J

8:57

Trigonometric Integrals - Part 4 of 6

Patrick J

5:58

Trigonometric Integrals - Part 5 of 6

Patrick J

8:43

Trigonometric Integrals - Part 6 of 6

Patrick J

19:36

❖ Partial Fraction Decompositions and Long Division ❖

Patrick J

6:06

Integration Using Partial Fractions / Rationalizing Sub

Patrick J

9:50

Integration Using method of Partial Fractions

Patrick J

6:02

A Complete Partial Fractions Problem

Patrick J

13:17

❖ Harder Partial Fractions Problem - Repeated Irreducible Quadratic Factors, Part 1 ❖

Patrick J

10:52

❖ Harder Partial Fractions Problem - Repeated Irreducible Quadratic Factors, Part 2 ❖

Patrick J

6:23

❖ Improper Integral - Basic Idea and Example ❖

Patrick J

4:52

Improper Integral with Infinite Discontinuity at Endpoint

Patrick J

7:55

Improper Integral - Infinity in Upper and Lower Limits

Patrick J

5:21

Improper Integral w/ Infinite Discontinuity in the Middle

Patrick J

9:57

Improper Integral - More Complicated Example

Patrick J

8:14

Hyperbolic Functions - Integration

Patrick J

10:01

Arc Length

Patrick J

7:09

Finding Surface Area - Part 1

Patrick J

6:05

Finding Surface Area - Part 2

Patrick J

9:23

Parametric Curves - Calculating Area

Patrick J

8:18

Arc Length Using Parametric Curves

Patrick J

7:27

Arc Length Using Parametric Curves - Example 2

Patrick J

8:49

Finding Areas in Polar Coordinates

Patrick J

9:51

❖ Finding Areas Between Curves ❖

Patrick J

7:37

Area Between Curves - Integrating with Respect to y

Patrick J

3:11

Area Between Curves - Integrating with Respect to y - Part 2

Patrick J

21:35

Longer Version - Volumes using Disks/Washers

Patrick J

4:35

❖ Volumes of Revolution - Disk/Washers Example 1 ❖

Patrick J

3:03

Volumes of Revolution - Disk/Washers Example 2

Patrick J

2:53

Volumes of Revolution - Disk/Washers Example 3

Patrick J

10:01

Volumes of Revolution about Vertical Lines Using Washers

Patrick J

19:56

Longer Version - Volumes using Cylindrical Shells

Patrick J

5:37

Volumes of Revolution - Cylindrical Shells (Two Examples)

Patrick J

7:22

The Trapezoid Rule for Approximating Integrals

Patrick J

7:21

📚 Simpsons Rule - Approximate Integration 📚

Patrick J

11:35

Simpson's Rule - Error Bound

Patrick J