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Subject:
Mathematics
Topic:
Integral Calculus
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Patrick's Just Math Tutoring (Patrick JMT)
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Calculus Videos: Integration
Video Lectures
Displaying all 60 video lectures.
Lecture 1
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Summation Notation
Lecture 2
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The Definite Integral: Understanding the Definition
Lecture 3
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Approximating a Definite Integral Using Rectangles
Lecture 4
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Trapezoidal Rule to Approximate a Definite Integral
Lecture 5
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Simpson's Rule to Approximate a Definite Integral
Lecture 6
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Simpson's Rule and Error Bounds
Lecture 7
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Calculating a Definite Integral Using Riemann Sums (Part 1)
Lecture 8
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Calculating a Definite Integral Using Riemann Sums (Part 2)
Lecture 9
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Basic Integration Formulas
Lecture 10
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Basic Antiderivate Examples: Indefinite Integral
Lecture 11
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More Basic Integration Problems
Lecture 12
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Basic Definite Integral Example
Lecture 13
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Indefinite Integral: U-substitution
Lecture 14
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Definite Integral: U-substitution
Lecture 15
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More Integration Using U-Substitution (Part 1)
Lecture 16
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More Integration Using U-Substitution (Part 2)
Lecture 17
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Integration Involving Inverse Trigonometric Functions
Lecture 18
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Integration By Parts: Indefinite Integral
Lecture 19
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Integration By Parts: Definite Integral
Lecture 20
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Indefinite/Definite Integral Examples
Lecture 21
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Integration By Parts: Using IBP's Twice
Lecture 22
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Integration By Parts: A "Loopy" Example
Lecture 23
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Trigonometric Integrals: Part 1 of 6
Lecture 24
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Trigonometric Integrals: Part 2 of 6
Lecture 25
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Trigonometric Integrals: Part 3 of 6
Lecture 26
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Trigonometric Integrals: Part 4 of 6
Lecture 27
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Trigonometric Integrals: Part 5 of 6
Lecture 28
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Trigonometric Integrals: Part 6 of 6
Lecture 29
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Trigonometric Substitution (Part 1)
Lecture 30
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Trigonometric Substitution (Part 2)
Lecture 31
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Trigonometric Substitution (Part 3)
Lecture 32
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Trigonometric Substitution (Part 4)
Lecture 33
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Trigonometric Substitution (Part 5)
Lecture 34
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Partial Fractions: Decomposing a Rational Function
Lecture 35
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Partial Fractions: Coefficients of a Partial Fraction Decomposition
Lecture 36
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Partial Fractions: Problem
Lecture 37
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Partial Fractions: Problem Using a Rationalizing Substitution
Lecture 38
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Calculating Double Integrals Over Rectangular Regions
Lecture 39
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Calculating Double Integrals Over General Regions
Lecture 40
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Reversing the Order of Integration (Part 1)
Lecture 41
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Reversing the Order of Integration (Part 2)
Lecture 42
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Finding Areas in Polar Coordinates
Lecture 43
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Double Integral Using Polar Coordinates (Part 1)
Lecture 44
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Double Integral Using Polar Coordinates (Part 2)
Lecture 45
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Double Integral Using Polar Coordinates (Part 3)
Lecture 46
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Triple Integrals
Lecture 47
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Triple Integrals in Spherical Coordinates
Lecture 48
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Line Integrals
Lecture 49
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Solving First Order Linear Differential Equations
Lecture 50
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Finding Centroids/Centers of Mass (Part 1)
Lecture 51
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Finding Centroids/Centers of Mass (Part 2)
Lecture 52
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Improper Integrals: Introduction
Lecture 53
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Improper Integrals: Using L'Hospitals Rule
Lecture 54
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Improper Integrals: Infinity in the Upper and Lower Limit
Lecture 55
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Improper Integrals: Infinite Discontinuity at an Endpoint
Lecture 56
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Improper Integrals: Infinite Discontinuity in the Middle of the Interval
Lecture 57
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Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Horizontal Line
Lecture 58
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Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Vertical Line
Lecture 59
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Volumes of Revolution: Disk/Washer Method (cont.)
Lecture 60
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Work Problems: Finding the Work To Empty a Tank Full of Water
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Calculus Videos: Integration