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❖ Basic Integration Problems
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Classroom Contents
Integrals - Antiderivatives
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- 1 ❖ The Definite Integral - Understanding the Definition ❖
- 2 Approximating a Definite Integral Using Rectangles
- 3 ❖ Calculating a Definite Integral Using Riemann Sums - Part 1 ❖
- 4 Calculating a Definite Integral Using Riemann Sums - Part 2
- 5 ❖ Basic Integration Problems
- 6 ❖ Integration by Parts Made Easy! ❖
- 7 Integration by Parts - Definite Integral
- 8 Integration By Parts - Using IBP's Twice
- 9 Integration by Parts - A Loopy Example!
- 10 Deriving the Integration by Parts Formula - Easy!
- 11 ❖ Integration using U-Substitution ❖
- 12 Integration by U-Substitution, Definite Integral
- 13 U-substitution - Indefinite Integral, Another 2 examples
- 14 U-Substitution - More Complicated Examples
- 15 Trigonometric Substitution - Example 1
- 16 Trigonometric Substitution Example 1 Part 1
- 17 Trigonometric Substitution Example 1 Part 2
- 18 Trigonometric Substitution - Example 2
- 19 Trigonometric Substitution - Example 3 / Part 1
- 20 Trigonometric Substitution - Example 3 / Part 2
- 21 Trigonometric Substitution, Ex 4 - Rational Powers
- 22 Trigonometric Substitutions - More Examples
- 23 Trigonometric Substitution and a Definite Integral
- 24 Trigonometric Substitution + U-Sub, Definite Integral
- 25 Integrating Exponential Functions - Examples 1 and 2
- 26 Integrating Exponential Functions - Examples 3 and 4
- 27 Integration Using Inverse Trigonometric Functions - Ex 1
- 28 Integration Using Inverse Trigonometric Functions - Ex 2
- 29 Trigonometric Integrals - Part 1 of 6
- 30 Trigonometric Integrals - Part 2 of 6
- 31 Trigonometric Integrals - Part 3 of 6
- 32 Trigonometric Integrals - Part 4 of 6
- 33 Trigonometric Integrals - Part 5 of 6
- 34 Trigonometric Integrals - Part 6 of 6
- 35 Partial Fraction Decompositions and Long Division
- 36 Integration Using Partial Fractions / Rationalizing Sub
- 37 Integration Using method of Partial Fractions
- 38 A Complete Partial Fractions Problem
- 39 Long Partial Fractions Problem - Repeated Irreducible Quadratic Factors, Part 1
- 40 Long Partial Fractions Problem - Repeated Irreducible Quadratic Factors, Part 2
- 41 ❖ Improper Integral - Basic Idea and Example ❖
- 42 Improper Integral with Infinite Discontinuity at Endpoint
- 43 Improper Integral - Infinity in Upper and Lower Limits
- 44 Improper Integral w/ Infinite Discontinuity in the Middle
- 45 Improper Integral - More Complicated Example
- 46 Hyperbolic Functions - Integration
- 47 Arc Length
- 48 Finding Surface Area - Part 1
- 49 Finding Surface Area - Part 2
- 50 Parametric Curves - Calculating Area
- 51 Arc Length Using Parametric Curves
- 52 Arc Length Using Parametric Curves - Example 2
- 53 Finding Areas in Polar Coordinates
- 54 Finding Areas Between Curves
- 55 Area Between Curves - Integrating with Respect to y
- 56 Area Between Curves - Integrating with Respect to y - Part 2
- 57 Longer Version - Volumes using Disks/Washers
- 58 Volumes of Revolution - Disk/Washers Example 1
- 59 Volumes of Revolution - Disk/Washers Example 2
- 60 Volumes of Revolution - Disk/Washers Example 3
- 61 Volumes of Revolution about Vertical Lines Using Washers
- 62 Longer Version - Volumes using Cylindrical Shells
- 63 Volumes of Revolution - Cylindrical Shells
- 64 The Trapezoid Rule for Approximating Integrals
- 65 Simpsons Rule - Approximate Integration
- 66 Simpson's Rule - Error Bound
