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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 DiscontinuityMiddle 
Improper Integral: Infinite DiscontinuityEndpoint 
Improper Integral: Infinity in Upper, Lower Limits 
Improper Integral – More Complicated Example
About this Series
 Lessons: 25
 Total Time: 3h 32m
 Use: Watch Online & Download
 Access Period: Unlimited
 Created At: 09/30/2010
 Last Updated At: 09/30/2010
This 15video secondsemester calculus series will teach you the most common techniques and methodologies that you should know and use in order to tackle integration problems. These videos will work through an assortment of different example calculus problems that involve integrals.
These videos are available to be viewed online for free on PatrickJMT
About this Author
 llllllll
 987 lessons
 Joined:
08/17/2010
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Lessons Included
 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 DiscontinuityMiddle
 Improper Integral: Infinite DiscontinuityEndpoint
 Improper Integral: Infinity in Upper, Lower Limits
 Improper Integral – More Complicated Example
None of the lesson in this series have been reviewed.
Below are the descriptions for each of the lessons included in the series:

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.
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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.
www.patrickjmt.com

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.
www.patrickjmt.com

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.
www.patrickjmt.com

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.
www.patrickjmt.com

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 DiscontinuityMiddle
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 DiscontinuityEndpoint
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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