Calculus Videos: Integration

Video Lectures

Displaying all 60 video lectures.
Lecture 1
Summation Notation
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Summation Notation
Lecture 2
The Definite Integral: Understanding the Definition
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The Definite Integral: Understanding the Definition
Lecture 3
Approximating a Definite Integral Using Rectangles
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Approximating a Definite Integral Using Rectangles
Lecture 4
Trapezoidal Rule to Approximate a Definite Integral
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Trapezoidal Rule to Approximate a Definite Integral
Lecture 5
Simpson's Rule to Approximate a Definite Integral
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Simpson's Rule to Approximate a Definite Integral
Lecture 6
Simpson's Rule and Error Bounds
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Simpson's Rule and Error Bounds
Lecture 7
Calculating a Definite Integral Using Riemann Sums (Part 1)
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Calculating a Definite Integral Using Riemann Sums (Part 1)
Lecture 8
Calculating a Definite Integral Using Riemann Sums (Part 2)
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Calculating a Definite Integral Using Riemann Sums (Part 2)
Lecture 9
Basic Integration Formulas
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Basic Integration Formulas
Lecture 10
Basic Antiderivate Examples: Indefinite Integral
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Basic Antiderivate Examples: Indefinite Integral
Lecture 11
More Basic Integration Problems
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More Basic Integration Problems
Lecture 12
Basic Definite Integral Example
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Basic Definite Integral Example
Lecture 13
Indefinite Integral: U-substitution
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Indefinite Integral: U-substitution
Lecture 14
Definite Integral: U-substitution
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Definite Integral: U-substitution
Lecture 15
More Integration Using U-Substitution (Part 1)
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More Integration Using U-Substitution (Part 1)
Lecture 16
More Integration Using U-Substitution (Part 2)
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More Integration Using U-Substitution (Part 2)
Lecture 17
Integration Involving Inverse Trigonometric Functions
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Integration Involving Inverse Trigonometric Functions
Lecture 18
Image Not Available
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Integration By Parts: Indefinite Integral
Lecture 19
Integration By Parts: Definite Integral
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Integration By Parts: Definite Integral
Lecture 20
Indefinite/Definite Integral Examples
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Indefinite/Definite Integral Examples
Lecture 21
Integration By Parts: Using IBP's Twice
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Integration By Parts: Using IBP's Twice
Lecture 22
Integration By Parts: A
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Integration By Parts: A "Loopy" Example
Lecture 23
Trigonometric Integrals: Part 1 of 6
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Trigonometric Integrals: Part 1 of 6
Lecture 24
Trigonometric Integrals: Part 2 of 6
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Trigonometric Integrals: Part 2 of 6
Lecture 25
Trigonometric Integrals: Part 3 of 6
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Trigonometric Integrals: Part 3 of 6
Lecture 26
Trigonometric Integrals: Part 4 of 6
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Trigonometric Integrals: Part 4 of 6
Lecture 27
Trigonometric Integrals: Part 5 of 6
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Trigonometric Integrals: Part 5 of 6
Lecture 28
Trigonometric Integrals: Part 6 of 6
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Trigonometric Integrals: Part 6 of 6
Lecture 29
Trigonometric Substitution (Part 1)
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Trigonometric Substitution (Part 1)
Lecture 30
Trigonometric Substitution (Part 2)
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Trigonometric Substitution (Part 2)
Lecture 31
Trigonometric Substitution (Part 3)
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Trigonometric Substitution (Part 3)
Lecture 32
Trigonometric Substitution (Part 4)
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Trigonometric Substitution (Part 4)
Lecture 33
Trigonometric Substitution (Part 5)
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Trigonometric Substitution (Part 5)
Lecture 34
Partial Fractions: Decomposing a Rational Function
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Partial Fractions: Decomposing a Rational Function
Lecture 35
Partial Fractions: Coefficients of a Partial Fraction Decomposition
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Partial Fractions: Coefficients of a Partial Fraction Decomposition
Lecture 36
Partial Fractions: Problem
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Partial Fractions: Problem
Lecture 37
Partial Fractions: Problem Using a Rationalizing Substitution
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Partial Fractions: Problem Using a Rationalizing Substitution
Lecture 38
Calculating Double Integrals Over Rectangular Regions
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Calculating Double Integrals Over Rectangular Regions
Lecture 39
Calculating Double Integrals Over General Regions
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Calculating Double Integrals Over General Regions
Lecture 40
Reversing the Order of Integration (Part 1)
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Reversing the Order of Integration (Part 1)
Lecture 41
Reversing the Order of Integration (Part 2)
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Reversing the Order of Integration (Part 2)
Lecture 42
Finding Areas in Polar Coordinates
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Finding Areas in Polar Coordinates
Lecture 43
Double Integral Using Polar Coordinates (Part 1)
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Double Integral Using Polar Coordinates (Part 1)
Lecture 44
Double Integral Using Polar Coordinates (Part 2)
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Double Integral Using Polar Coordinates (Part 2)
Lecture 45
Double Integral Using Polar Coordinates (Part 3)
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Double Integral Using Polar Coordinates (Part 3)
Lecture 46
Triple Integrals
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Triple Integrals
Lecture 47
Triple Integrals in Spherical Coordinates
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Triple Integrals in Spherical Coordinates
Lecture 48
Line Integrals
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Line Integrals
Lecture 49
Solving First Order Linear Differential Equations
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Solving First Order Linear Differential Equations
Lecture 50
Finding Centroids/Centers of Mass (Part 1)
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Finding Centroids/Centers of Mass (Part 1)
Lecture 51
Finding Centroids/Centers of Mass (Part 2)
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Finding Centroids/Centers of Mass (Part 2)
Lecture 52
Improper Integrals: Introduction
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Improper Integrals: Introduction
Lecture 53
Improper Integrals: Using L'Hospitals Rule
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Improper Integrals: Using L'Hospitals Rule
Lecture 54
Improper Integrals: Infinity in the Upper and Lower Limit
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Improper Integrals: Infinity in the Upper and Lower Limit
Lecture 55
Improper Integrals: Infinite Discontinuity at an Endpoint
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Improper Integrals: Infinite Discontinuity at an Endpoint
Lecture 56
Improper Integrals: Infinite Discontinuity in the Middle of the Interval
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Improper Integrals: Infinite Discontinuity in the Middle of the Interval
Lecture 57
Image Not Available
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Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Horizontal Line
Lecture 58
Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Vertical Line
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Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Vertical Line
Lecture 59
Volumes of Revolution: Disk/Washer Method (cont.)
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Volumes of Revolution: Disk/Washer Method (cont.)
Lecture 60
Work Problems: Finding the Work To Empty a Tank Full of Water
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Work Problems: Finding the Work To Empty a Tank Full of Water