Series: Calculus II: Integration & Integrals
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Approximating a Definite Integral Using Rectangles -
Definite Integral – Understanding the Definition -
Fundamental Theorem of Calculus Part 1 -
U-Substitution - Definite Integral -
U-Substitution - Definite Integral, Ex 2 -
U-Substitution - More Complicated Examples -
Area Between Curves - Integrate with Respect to y -
Area Between Curves - Integrate Respect to y Pt 2 -
Volumes of Revolution: Disks and Washers, Ex 1 -
Volumes of Revolution: Discs and Washers, Part 1 -
Volumes of Revolution: Discs and Washers, Part 2 -
Volumes of Revolution: Horiz Lines - Discs/Washers -
Finding Volumes of Revolution: Cylindrical Shells -
Volumes of Revolution Using Discs / Washer -
Volumes of Revolution: Cylindrical Shells (long) -
Work and Hooke's Law - Example 1 -
Work and Hooke's Law - Example 2 -
Work: The Cable/Rope Problem Part 1 -
Work: The Cable/Rope Problem – Part 2 -
Work: Finding the Work Required to Drain a Tank -
Derivatives of Exponential Functions -
Integrals: Exponential Functions – Ex 1 and 2 -
Integrals: Exponential Functions – Ex 3 and 4 -
Derivatives of Logarithmic Functions -
Inverse Trig Functions: Derivatives Pt 1 -
Inverse Trigonometric Functions: Derivatives Pt 2 -
Inverse Trigonometric Function Derivatives: Ex 3 -
Hyperbolic Functions - The Basics -
Integrals: Hyberbolic Functions -
Inverse Hyperbolic Functions; Derivatives -
L'Hospitals Rule - Indeterminate Powers -
L'Hospitals Rule - Indeterminate Quotients -
L'Hospitals Rule - Indeterminate Differences -
L'Hospitals Rule - Indeterminate Products -
Using Integration by Parts Twice -
Integration by Parts – Ex 1 -
Integration by Parts – Definite Integral -
Integration by Parts – A Loopy Example! -
Trigonometric Integrals - Part 1 of 6 -
Trigonometric Integrals - Part 2 of 6 -
Trigonometric Integrals - Part 3 of 6 -
Trigonometric Integrals - Part 4 of 6 -
Trigonometric Integrals - Part 5 of 6 -
Trigonometric Integrals - Part 6 of 6 -
A Basic Trigonometric Substitution Problem -
Trig Substitution: Completing the Square Part 1/2 -
Trig Substitution: Completing the Square Part 2/2 -
Integration by Partial Fractions: Long Division -
Integration by Partial Fractions: Coefficients -
Integration by Partial Fractions: An Example -
Partial Fractions and Rationalizing Substitutions -
Approximating Integrals: Simpsons Rule -
Approximating Integrals: Simpsons Rule Error Bound -
Approximating Integrals: Trapezoid Rule -
Improper Integral – Basic Idea and Example -
Improper Integral: Infinite Discontinuity-Middle -
Improper Integral: Infinite Discontinuity-Endpoint -
Improper Integral: Infinity in Upper, Lower Limits -
Improper Integral – More Complicated Example -
Finding Arc Length -
Finding Surface Area, Part 1 -
Finding Surface Area, Part 2 -
Centroids / Centers of Mass – Part 2 of 2 -
Centroids / Centers of Mass – Part 1 of 2 -
Separable 1st Order Differential Equations – Pt 1 -
Separable Differential Equations: Mixing Problems -
First Order Linear Differential Equations -
Exact Differential Equations -
Undetermined Coefficients/2nd Order Linear DE 1 -
Undetermined Coefficients/2nd Order Linear DE 2 -
Homogeneous 2nd Order Linear Diff Equations -
Power Series Solutions of Differential Equations -
Laplace Transform -
Parametric Curves – Basic Graphing -
Derivatives of Parametric Functions -
Parametric Curves - Second Derivatives -
Areas and Parametric Curves -
Polar Coordinates – The Basics -
Graphing a Polar Curve – Part 1 -
Graphing a Polar Curve – Part 2 -
Areas and Polar Coordinates -
What is a Sequence? Basic Sequence Info -
More Convergent Sequence Examples -
What is a Series? -
Telescoping Series -
Using Partial Sums to Show a Series Diverges -
Geometric Series -
Geometric Series, Part 2 -
Geometric Series - More Examples -
Geometric Series: Repeating Decimal as Fraction -
Integral Test for Series -
Remainder Estimate for the Integral Test -
Limit and Direct Comparison Tests – Pt 1 -
Limit and Direct Comparison Tests – Pt 2 -
Alternating Series -
Alternating Series - Another Example -
The Alternating Series Estimation Theorem -
The Ratio Test and Absolute Convergence Part 1 -
The Ratio Test and Absolute Convergence Part 2 -
Strategy for Testing Series - An Overview -
Power Series - Finding the Interval of Convergence -
Power Series Representations: PSR for 1/(1 - x) -
Power Series - Multiplying and Dividing -
Differentiating and Integrating Power Series -
Find a Maclaurin Series -
Finding a Taylor Series Expansion -
Taylor's Inequality -
Using Series to Evaluate Limits -
Maclaurin/Taylor to Approximate Definite Integrals -
The Binomial Series - Ex 1 -
The Binomial Series - Ex 2
About this Series
- Lessons: 111
- Total Time: 14h 52m
- Use: Watch Online & Download
- Access Period: Unlimited
- Created At: 09/30/2010
- Last Updated At: 01/31/2011
This 49-video advanced calculus series will cover the concepts and learnings of traditional second-semester calculus courses, which deal primarily with integration and integrals. The videos have a heavy focus on instruction through example problems.
These videos are available to be viewed online for free on PatrickJMT
About this Author
-
- patrickjmt
- 987 lessons
- Joined:
08/17/2010
Many of the videos for sale are also available on my website: http://PatrickJMT.com or you can also do a search and check out my popular 'math channel' on YouTube (PatrickJMT). You can watch all of them there for FREE!
Masters degree in Mathematics; former math instructor at a top 20 university!
Lessons Included
- Approximating a Definite Integral Using Rectangles
- Definite Integral – Understanding the Definition
- Fundamental Theorem of Calculus Part 1
- U-Substitution - Definite Integral
- U-Substitution - Definite Integral, Ex 2
- U-Substitution - More Complicated Examples
- Area Between Curves - Integrate with Respect to y
- Area Between Curves - Integrate Respect to y Pt 2
- Volumes of Revolution: Disks and Washers, Ex 1
- Volumes of Revolution: Discs and Washers, Part 1
- Volumes of Revolution: Discs and Washers, Part 2
- Volumes of Revolution: Horiz Lines - Discs/Washers
- Finding Volumes of Revolution: Cylindrical Shells
- Volumes of Revolution Using Discs / Washer
- Volumes of Revolution: Cylindrical Shells (long)
- Work and Hooke's Law - Example 1
- Work and Hooke's Law - Example 2
- Work: The Cable/Rope Problem Part 1
- Work: The Cable/Rope Problem – Part 2
- Work: Finding the Work Required to Drain a Tank
- Derivatives of Exponential Functions
- Integrals: Exponential Functions – Ex 1 and 2
- Integrals: Exponential Functions – Ex 3 and 4
- Derivatives of Logarithmic Functions
- Inverse Trig Functions: Derivatives Pt 1
- Inverse Trigonometric Functions: Derivatives Pt 2
- Inverse Trigonometric Function Derivatives: Ex 3
- Hyperbolic Functions - The Basics
- Integrals: Hyberbolic Functions
- Inverse Hyperbolic Functions; Derivatives
- L'Hospitals Rule - Indeterminate Powers
- L'Hospitals Rule - Indeterminate Quotients
- L'Hospitals Rule - Indeterminate Differences
- L'Hospitals Rule - Indeterminate Products
- Using Integration by Parts Twice
- Integration by Parts – Ex 1
- Integration by Parts – Definite Integral
- Integration by Parts – A Loopy Example!
- Trigonometric Integrals - Part 1 of 6
- Trigonometric Integrals - Part 2 of 6
- Trigonometric Integrals - Part 3 of 6
- Trigonometric Integrals - Part 4 of 6
- Trigonometric Integrals - Part 5 of 6
- Trigonometric Integrals - Part 6 of 6
- A Basic Trigonometric Substitution Problem
- Trig Substitution: Completing the Square Part 1/2
- Trig Substitution: Completing the Square Part 2/2
- Integration by Partial Fractions: Long Division
- Integration by Partial Fractions: Coefficients
- Integration by Partial Fractions: An Example
- Partial Fractions and Rationalizing Substitutions
- Approximating Integrals: Simpsons Rule
- Approximating Integrals: Simpsons Rule Error Bound
- Approximating Integrals: Trapezoid Rule
- Improper Integral – Basic Idea and Example
- Improper Integral: Infinite Discontinuity-Middle
- Improper Integral: Infinite Discontinuity-Endpoint
- Improper Integral: Infinity in Upper, Lower Limits
- Improper Integral – More Complicated Example
- Finding Arc Length
- Finding Surface Area, Part 1
- Finding Surface Area, Part 2
- Centroids / Centers of Mass – Part 2 of 2
- Centroids / Centers of Mass – Part 1 of 2
- Separable 1st Order Differential Equations – Pt 1
- Separable Differential Equations: Mixing Problems
- First Order Linear Differential Equations
- Exact Differential Equations
- Undetermined Coefficients/2nd Order Linear DE 1
- Undetermined Coefficients/2nd Order Linear DE 2
- Homogeneous 2nd Order Linear Diff Equations
- Power Series Solutions of Differential Equations
- Laplace Transform
- Parametric Curves – Basic Graphing
- Derivatives of Parametric Functions
- Parametric Curves - Second Derivatives
- Areas and Parametric Curves
- Polar Coordinates – The Basics
- Graphing a Polar Curve – Part 1
- Graphing a Polar Curve – Part 2
- Areas and Polar Coordinates
- What is a Sequence? Basic Sequence Info
- More Convergent Sequence Examples
- What is a Series?
- Telescoping Series
- Using Partial Sums to Show a Series Diverges
- Geometric Series
- Geometric Series, Part 2
- Geometric Series - More Examples
- Geometric Series: Repeating Decimal as Fraction
- Integral Test for Series
- Remainder Estimate for the Integral Test
- Limit and Direct Comparison Tests – Pt 1
- Limit and Direct Comparison Tests – Pt 2
- Alternating Series
- Alternating Series - Another Example
- The Alternating Series Estimation Theorem
- The Ratio Test and Absolute Convergence Part 1
- The Ratio Test and Absolute Convergence Part 2
- Strategy for Testing Series - An Overview
- Power Series - Finding the Interval of Convergence
- Power Series Representations: PSR for 1/(1 - x)
- Power Series - Multiplying and Dividing
- Differentiating and Integrating Power Series
- Find a Maclaurin Series
- Finding a Taylor Series Expansion
- Taylor's Inequality
- Using Series to Evaluate Limits
- Maclaurin/Taylor to Approximate Definite Integrals
- The Binomial Series - Ex 1
- The Binomial Series - Ex 2
Below are the descriptions for each of the lessons included in the series:
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Approximating a Definite Integral Using Rectangles
Approximating a Definite Integral Using Rectangles - Here I use 4 rectangles and left endpoints as well as midponits to approximate the area underneath 16-x^2 from x = 0 to x = 2.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Definite Integral – Understanding the Definition
The Definite Integral - Understanding the Definition. In this video, I discuss the definition only; I do not calculate any definite integrals.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Fundamental Theorem of Calculus Part 1
Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integralsThis video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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U-Substitution - Definite Integral
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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U-Substitution - Definite Integral, Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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U-Substitution - More Complicated Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Area Between Curves - Integrate with Respect to y
Area Between Curves - Integrating with Respect to y - I show the general formula, graph two functions, and set up the integral in this video.
I calculate the integral in part 2!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Area Between Curves - Integrate Respect to y Pt 2
Area Between Curves - Integrating with Respect to y - Part 2.
In this video, I actually do the integration and calculate the area.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Volumes of Revolution: Disks and Washers, Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Volumes of Revolution: Discs and Washers, Part 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Volumes of Revolution: Discs and Washers, Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Volumes of Revolution: Horiz Lines - Discs/Washers
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Finding Volumes of Revolution: Cylindrical Shells
Volumes of Revolution - Cylindrical Shells. In this video I show to examples of finding volumes using the method of cylindrical shells.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Volumes of Revolution Using Discs / Washer
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Volumes of Revolution: Cylindrical Shells (long)
Longer Version - Volumes using Cylindrical Shells - In this video I do numerous examples of finding volumes using the shell method.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Work and Hooke's Law - Example 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Work and Hooke's Law - Example 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Work: The Cable/Rope Problem Part 1
0
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Work: The Cable/Rope Problem – Part 2
Finding Work using Calculus - The Cable/Rope Problem - Part b. In this video, I find the work required to lift up only HALF of the rope to the top of the building.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Work: Finding the Work Required to Drain a Tank
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Derivatives of Exponential Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Integrals: Exponential Functions – Ex 1 and 2
Integrating Exponential Functions - Examples 1 and 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integrals: Exponential Functions – Ex 3 and 4
Integrating Exponential Functions - Examples 3 and 4
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Derivatives of Logarithmic Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Inverse Trig Functions: Derivatives Pt 1
Inverse Trigonometric Functions - Derivatives - I give the formulas for the derivatives of the six inverse trig functions and do 3 derivative examples.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Inverse Trigonometric Functions: Derivatives Pt 2
Inverse Trigonometric Functions - Derivatives. A harder example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Inverse Trigonometric Function Derivatives: Ex 3
Inverse Trigonometric Functions - Derivatives. A harder example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Hyperbolic Functions - The Basics
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Integrals: Hyberbolic Functions
In this video, I calculate some integrals involving hyperbolic functions.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Inverse Hyperbolic Functions; Derivatives
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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L'Hospitals Rule - Indeterminate Powers
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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L'Hospitals Rule - Indeterminate Quotients
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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L'Hospitals Rule - Indeterminate Differences
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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L'Hospitals Rule - Indeterminate Products
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Using Integration by Parts Twice
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Parts – Ex 1
Integration by Parts – Ex 1: 3 complete examples are shown of finding an antiderivative using integration by parts
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Parts – Definite Integral
Integration by Parts - Definite Integral.
In this video I do a definite integral using Integration by Parts.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Parts – A Loopy Example!
Intergration by Parts - A Loopy Example! In this video I show how to use IBP's twice to solve an integral even though at first it may look like no progress is being made!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 1 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 2 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 3 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 4 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 5 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 6 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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A Basic Trigonometric Substitution Problem
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trig Substitution: Completing the Square Part 1/2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trig Substitution: Completing the Square Part 2/2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Integration by Partial Fractions: Long Division
Partial Fraction Decompositions and Long Division - In this video, I discuss all of the partial fraction decompositions as well as do an example with long division.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Partial Fractions: Coefficients
Determining Coefficients for Partial Fractions - All 4 cases are covered
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Partial Fractions: An Example
A Complete Partial Fractions Problem!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Partial Fractions and Rationalizing Substitutions
Integration Using Partial Fractions and a Rationalizing Substitution. A complete example is shown!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Approximating Integrals: Simpsons Rule
Simpsons Rule - Approximate Integration.
In this video, I give the formula for Simpson's Rule, and use it to approximate a definite integral.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Approximating Integrals: Simpsons Rule Error Bound
Simpsons Rule - Error Bound. In this video, I find the number of intervals required when using Simpson's Rule to approximate a definite integral to a desired accuracy
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Approximating Integrals: Trapezoid Rule
The Trapezoid Rule for Approximating Integrals.
In this video, I show the formula and give one simple example of using the Trapezoid Rule to approximate the value of a definite integral.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral – Basic Idea and Example
Improper Integral - Basic Idea and Example
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral: Infinite Discontinuity-Middle
Improper Integral w/ Infinite Discontinuity in the Middle.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral: Infinite Discontinuity-Endpoint
Improper Integral with Infinite Discontinuity at Endpoint.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral: Infinity in Upper, Lower Limits
Improper Integral - Infinity in Upper and Lower Limits - In this video, I do an improper integral with postive infinity in the upper limit of integration and negative infinity in the lower limit of integration.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral – More Complicated Example
Improper Integral - More Complicated Example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Finding Arc Length
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Finding Surface Area, Part 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding Surface Area, Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Centroids / Centers of Mass – Part 2 of 2
Centroids / Centers of Mass - Part 2 of 2. I finish off the problem of finding the centroids of a region.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Centroids / Centers of Mass – Part 1 of 2
Finding Centroids / Centers of Mass - Part 1 of 2.
I give the formulas and do part of the calculation of one complete example!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Separable 1st Order Differential Equations – Pt 1
Solving Separable First Order Differential Equations - Ex 1. One complete example is shown of solving a separable differential equation.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Separable Differential Equations: Mixing Problems
Mixing Problems and Separable Differential Equations.
In this video, I discuss how a basic type of mixing problem can be solved by recognizing that the situation is modeled by a separable differential equation.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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First Order Linear Differential Equations
First Order Linear Differential Equations - In this video I outline the general techique to solve First Order Linear Differential Equations and do a complete example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Exact Differential Equations
Exact Differential Equations - In this video I show what it means for a differential equation to be exact and then one solve one problem.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Undetermined Coefficients/2nd Order Linear DE 1
Using the Method of Undetermined Coefficients to find general solutions of Second Order Linear Non-Homogeneous Differential Equations.
In this video, what this type of DE is, and also give the theorem for finding general solutions!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Undetermined Coefficients/2nd Order Linear DE 2
Using the Method of Undetermined Coefficients to find general solutions of Second Order Linear Non-Homogeneous Differential Equations.
In this video, I finish off the first example!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Homogeneous 2nd Order Linear Diff Equations
Homogeneous Second Order Linear Differential Equations - I show what a Homogeneous Second Order Linear Differential Equations is, talk about solutions, and do two examples.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Power Series Solutions of Differential Equations
Power Series Solutions of Differential Equations - In this video, I show how to use power series to find a solution of a differential equation. This is a SIMPLE example and the final solution is very NICE compared to what would normally happen with a more complicated differential equation, so please be aware of that!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Laplace Transform
In this video, I discuss the definition of the Laplace Transform and use it to find the Laplace Transform of f(t) = e^t.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Parametric Curves – Basic Graphing
Parametric Curves - Basic Graphing. In this video, I discuss some of the very basics about graphing parametric curves. One example of eliminating the parameter is shown.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Derivatives of Parametric Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Parametric Curves - Second Derivatives
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Areas and Parametric Curves
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Polar Coordinates – The Basics
Polar Coordinates - The Basics are disussed. I show how to graph a 'polar point' as well as how to convert from cartesian to polar form and vice versa.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Graphing a Polar Curve – Part 1
Graphing a Polar Curve. In this video, I discuss how to graph the polar curve r = 3cos(2*theta).
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Graphing a Polar Curve – Part 2
Graphing a Polar Curve. In this video, I discuss how to graph the polar curve r = 3cos(2*theta).
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Areas and Polar Coordinates
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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What is a Sequence? Basic Sequence Info
What is a Sequence? Basic Sequence Info. In this video, I discuss what a sequence is, what it means for a sequence to converge or diverge, and do some examples.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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More Convergent Sequence Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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What is a Series?
What is a Series - I try to give a basic idea of what a series is. I also briefly discuss geometric series and the test for divergence.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Telescoping Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Using Partial Sums to Show a Series Diverges
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Geometric Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Geometric Series, Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Geometric Series - More Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Geometric Series: Repeating Decimal as Fraction
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integral Test for Series
Using the Integral Test for Series - One complete example. I justify EVERYTHING!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Remainder Estimate for the Integral Test
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Limit and Direct Comparison Tests – Pt 1
Using the Limit Comparison Test to Determine if a series converges or diverges.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Limit and Direct Comparison Tests – Pt 2
Limit Comparison Test and Direct Comparison Test - Using the Limit Comparison and Direct Comparison Test to Determine if a Series Converges or Diverges.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Alternating Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Alternating Series - Another Example
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Alternating Series Estimation Theorem
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Ratio Test and Absolute Convergence Part 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Ratio Test and Absolute Convergence Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Strategy for Testing Series - An Overview
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Power Series - Finding the Interval of Convergence
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Power Series Representations: PSR for 1/(1 - x)
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Power Series - Multiplying and Dividing
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Differentiating and Integrating Power Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Find a Maclaurin Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding a Taylor Series Expansion
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Taylor's Inequality
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Using Series to Evaluate Limits
Using Series to Evaluate Limits - In this example I show how one can use a series expansion and a bit of algebra to calculate a limit.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Maclaurin/Taylor to Approximate Definite Integrals
Using Maclaurin/Taylor Series to Approximate a Definite Integral to a Desired Accuracy.
In this video, I use Maclaurin/Taylor series and the Alternating Series Estimation Theorem to approximate a definite integral to within a desired accuracy.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Binomial Series - Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Binomial Series - Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Great help; Thank you !