Series: Calculus: Integration Techniques
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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 Discontinuity-Middle -
Improper Integral: Infinite Discontinuity-Endpoint -
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 15-video second-semester 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
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- 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
- 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
None of the lesson in this series have been reviewed.
Below are the descriptions for each of the lessons included in the series:
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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.
www.patrickjmt.com
-
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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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.
www.patrickjmt.com
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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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