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Video thumbnail for Definite integral involving natural log | AP Calculus AB | Khan Academy
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Definite integral involving natural log | AP Calculus AB | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-8c/v/definite-integral-involving-natural-log Sal finds the definite integral of (6+x_)/x_ between 2 and 4. To do that, he has to use the integral of 1/x, which is ln(x ...
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· Jul 28, 2016
Video thumbnail for Integration of Rational Functions into Logarithms By Substitution & Long Division
19:20
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Integration of Rational Functions into Logarithms By Substitution & Long Division

This calculus video tutorial focuses on the integration of rational functions that yield logarithmic functions such as natural logs. The techniques involve include integrating by substitution, long division, and splitting a fraction into multiple smaller fractions all of which will produce natural logarithms containing absolute value functions ...
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· Feb 21, 2017
Video thumbnail for Integration & Natural Log Functions | Calculus Lesson 44 - JK Math
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Integration & Natural Log Functions | Calculus Lesson 44 - JK Math

How to Integrate Rational Functions Into Natural Log Functions (Calculus Lesson 44) ️ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculus1-worksheet-set 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus In this lesson we learn how to integrate rational functions using the Log Rule of Integration ...
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· May 2, 2022
Video thumbnail for 5.3 Integration | Natural Log (ln) - Ex.1
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5.3 Integration | Natural Log (ln) - Ex.1

http://www.rootmath.org | Calculus We explore coming u-substitution with the natural log (ln) rule for integration. This will allow us to find the integral of an even wider range of functions.
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· Jun 27, 2011
Video thumbnail for Integrating Natural Logarithm Function Calculus 1 AB
44:31
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Integrating Natural Logarithm Function Calculus 1 AB

EXAMPLES at 7:14 10:34 16:40 21:47 25:36 27:58 34:00 36:59 38:42 After a short introduction I work through 8 examples of Integration of Natural Log Functions. The 7 example is solving a differential equation and the last example is an example of a definite integral. Check out http://www.ProfRobBob.com, there you will find my lessons organized ...
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· Jul 14, 2013
Video thumbnail for The Logarithm Defined as an Integral
09:23
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The Logarithm Defined as an Integral

Dan shows how to solve integrals that turn into the natural log. For 1 on 1 tutoring or free group tutoring, email dan@danthetutor.com This clip is taken from a group tutoring session for Math 221 at the University of Delaware. To watch the whole lesson, click here https://youtu.be/olBtacnq23g
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· Dec 7, 2021
Video thumbnail for Integrals Yielding Natural Logarithms
06:43
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Integrals Yielding Natural Logarithms

This is a live tutorial about integrals yielding natural logarithms. Happy learning and enjoy watching! #enginerdmath #basicintegration #integralcalculus Join this channel to get access to perks: https://www.youtube.com/channel/UCckZq2Y0Bfpha4D0CGG4W1g/join
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· Mar 5, 2023
Video thumbnail for How to Integrate Natural Log Functions Using Integration by Parts
12:59
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How to Integrate Natural Log Functions Using Integration by Parts

In this video, i showed how to integrate natural log functions using Integration by Parts
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· Jul 26, 2021
Video thumbnail for proving ALL logarithm properties using calculus
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proving ALL logarithm properties using calculus

This is how the natural logarithm was first defined. That is ln(x)=the integral from 1 to x of 1/t dt. We will use this integral definition to prove the logarithmic properties that we are familiar with from algebra and precalculus. This is a very good exercise for calculus 1 or calculus 2 students. Subscribe for more math for fun videos 👉 ...
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· Aug 19, 2019
Video thumbnail for Log Rule for Integration (Using U Substitution)
08:11
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Log Rule for Integration (Using U Substitution)

This Calculus 1 video explains several examples of the log rule for integration and using the integration log rule for integrals that require U substitution. At the beginning, we show all of the examples worked in this video, so that you can skip to a particular example. We also point out that not every denominator substitution will give us a ...
YouTube
· Jun 15, 2020
Video thumbnail for Integrals using Log Rule (Examples)
02:03
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Integrals using Log Rule (Examples)

We know integral of ln x is 1/x+C. Let's use this fact and integration by substitution to integrate other integrals! Your support is truly a huge encouragement. Please take a second to subscribe in order to send us your valuable support and receive notifications for new videos! Every subscriber and like are immensely appreciated.
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· Sep 3, 2017
Video thumbnail for Integral of Logarithmic Functions | Calculus
31:32
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Integral of Logarithmic Functions | Calculus

This calculus video tutorial explains how to find the indefinite integral of logarithmic functions. This video provides a simple formula that can help you to achieve it. Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html _________________________________ Improper Integrals: https://www.youtube.com/watch?v ...
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· Jan 10, 2020
Video thumbnail for Natural Logarithms
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Natural Logarithms

This algebra video tutorial provides a basic introduction into natural logarithms. It explains how to evaluate natural logarithmic expressions with the natural base e and how to evaluate exponential expressions with natural logs in on the exponent of the natural base e using properties of logarithms. Logarithms - Free Formula Sheet: https://www ...
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· Jan 31, 2018
Video thumbnail for Logarithms Explained Rules & Properties, Condense, Expand, Graphing & Solving Equations Introduction
01:23:53
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Logarithms Explained Rules & Properties, Condense, Expand, Graphing & Solving Equations Introduction

This algebra 2 / precalculus math video tutorial explains the rules and properties of logarithms. It shows you how to condense and expand a logarithmic expression in addition to graphing and solving logarithmic equations. Logarithms - Free Formula Sheet: https://www.video-tutor.net/algebra-formula-sheet.html Logarithms - Video Lessons: https ...
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· Aug 18, 2016
Video thumbnail for Derivative of Logarithmic Functions
12:13
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Derivative of Logarithmic Functions

This calculus video tutorial provides a basic introduction into derivatives of logarithmic functions. It explains how to find the derivative of natural logarithmic functions as well as the derivative of log functions. You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems ...
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· Feb 27, 2018
Video thumbnail for Limits and Logarithms
10:07
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Limits and Logarithms

This calculus video tutorial explains how to evaluate certain limits at infinity using natural logarithms. It explains where the number e comes from. Logarithms - Free Formula Sheet: https://www.video-tutor.net/algebra-formula-sheet.html Limits - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Final Exams and Video ...
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· Dec 24, 2019
Video thumbnail for Logarithms - The Easy Way!
10:20
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Logarithms - The Easy Way!

This algebra 2 video tutorial provides a basic introduction of logarithms. It explains the process of evaluating logarithmic expressions without a calculator. Logarithmic - Free Formula Sheet: https://www.video-tutor.net/algebra-formula-sheet.html Logarithms - Video Lessons: https://www.video-tutor.net/logarithms.html Algebra Final Exam Review ...
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· May 27, 2017
Video thumbnail for Basic Integration Problems
14:13
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Basic Integration Problems

This calculus video tutorial provides an introduction into basic integration rules. It explains how to find the antiderivative of a constant k and how to use the power rule for integration. It also explains how to find the indefinite integral of trigonometric functions as well as the antiderivatives of rational functions and radical functions ...
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· Mar 7, 2018
Video thumbnail for Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems
33:51
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems

This calculus video tutorial explains how to calculate the definite integral of function. It provides a basic introduction into the concept of integration. Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Integration - Video ...
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· Dec 19, 2016
Video thumbnail for Derivatives of Exponential Functions & Logarithmic Differentiation Calculus lnx, e^2x, x^x, x^sinx
42:29
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Derivatives of Exponential Functions & Logarithmic Differentiation Calculus lnx, e^2x, x^x, x^sinx

This calculus video tutorial shows you how to find the derivative of exponential and logarithmic functions. it also shows you how to perform logarithmic differentiation. It contains plenty of examples and practice problems that involve differentiation techniques such as the power rule, product rule, quotient rule, and the chain rule ...
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· Sep 12, 2016
Video thumbnail for Derivatives of Logarithmic and Exponential Functions
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Derivatives of Logarithmic and Exponential Functions

Let's learn how to differentiate just a few more special functions, those being logarithmic functions and exponential functions. These are a little funky, but there are some simple rules we can memorize! Watch the whole Calculus playlist: http://bit.ly/ProfDaveCalculus Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical ...
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· Mar 20, 2018
Video thumbnail for Definite Integral
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Definite Integral

This calculus video tutorial provides a basic introduction into the definite integral. It explains how to evaluate the definite integral of linear functions, rational functions, and those involving natural log functions. The indefinite integral gives you the antiderivative function in terms of x where as the definite integral gives you a ...
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· Mar 8, 2018
Video thumbnail for Introduction to Logarithmic Differentiation
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Introduction to Logarithmic Differentiation

This calculus video tutorial provides a basic introduction into logarithmic differentiation. It explains how to find the derivative of functions such as x^x, x^sinx, (lnx)^x, and x^(1/x). You need to take the natural log of both sides of the equation and perform implicit differentiation to find dy/dx. You need to be familiar with product rule ...
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· Feb 27, 2018
Video thumbnail for Integral of lnx
01:26
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Integral of lnx

This calculus video tutorial explains how to find the integral of lnx using integration by parts. Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Integration - Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Full-Length Exam Videos: https://bit.ly/41WNmI9 Calculus Video Playlists: https://www ...
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· Mar 15, 2018
Video thumbnail for Integration By Parts
32:52
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Integration By Parts

This calculus video tutorial provides a basic introduction into integration by parts. It explains how to use integration by parts to find the indefinite integral of exponential functions, natural log functions and trigonometric functions. This video contains plenty of examples and practice problems. Full 1 Hour 32 Minute Video: https://bit.ly ...
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· Mar 25, 2021
Video thumbnail for Integrating Exponential Functions By Substitution - Antiderivatives - Calculus
11:16
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Integrating Exponential Functions By Substitution - Antiderivatives - Calculus

This calculus video focuses on integration exponential functions using u-substitution. It explains how to find antiderivatives of functions with base e mostly using integration by substitution. Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Calculus 1 Final Exam Review: https://www.youtube.com/watch?v ...
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· Feb 21, 2017
Video thumbnail for Derivatives of Exponential Functions
12:03
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Derivatives of Exponential Functions

This calculus video tutorial explains how to find the derivative of exponential functions using a simple formula. It explains how to do so with the natural base e or with any other number. This video contains plenty of examples and practice problems including those using the product rule and quotient rule for derivatives. Derivatives - Free ...
YouTube
· Feb 27, 2018
Video thumbnail for Logarithmic Differentiation of Exponential Functions
39:40
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Logarithmic Differentiation of Exponential Functions

This calculus video tutorial explains how to perform logarithmic differentiation on natural logs and regular logarithmic functions including exponential functions such as e^x. This video provides the formulas and equations as well as the rules that you need to apply use logarithmic differentiation to find the derivative of functions instead of ...
YouTube
· Oct 15, 2016
Video thumbnail for What are natural logarithms and their properties
04:12
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What are natural logarithms and their properties

👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a negative number is not defined. (i.e. it is not possible to find the logarithm of a negative number ...
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· Sep 18, 2013
Video thumbnail for How to Integrate ln(x)
03:32
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How to Integrate ln(x)

In this video I demonstrate how to find the integral or antiderivative of the natural log of x, ln(x), using integration by parts. Integration by parts is written as... ∫udv = uv - ∫vdu You may be wondering, there's only one part to this integral: ln(x). Well, we can make the 'u' part be ln(x) and the 'dv' part be equal to dx. Thus... du ...
YouTube
· Nov 25, 2014
Video thumbnail for Solving an natural logarithmic equation using properties of logs
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Solving an natural logarithmic equation using properties of logs

👉 Learn how to solve natural logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a natural logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This is done by raising both side of the ...
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· Nov 18, 2016
Video thumbnail for Solving Natural Logarithmic Equations [fbt] (Step-by-Step)
21:29
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Solving Natural Logarithmic Equations [fbt] (Step-by-Step)

This video by Fort Bend Tutoring shows the process of solving natural logarithmic equations. Two methods are shown in this video. There are eight (8) examples in all. The lesson is instructed by Larry "Mr. Whitt" Whittington. Intro/Outro by Chuck Knipp's Shirley Q. Liquor. Purchase our Simply Math Workbook #12 for more examples and over 200 ...
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· Aug 19, 2013
Video thumbnail for The Exponential Function e and The Natural Log ln
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The Exponential Function e and The Natural Log ln

A Level Maths revision tutorial video. For the full list of videos and more revision resources visit www.mathsgenie.co.uk.
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· Sep 12, 2017
Video thumbnail for Natural Logarithms
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Natural Logarithms

Find a local tutor in you area now! Get homework help now! FREE online Tutoring on Thursday nights! All FREE @ http://textbooktactics.com Click show more for Video Description: Natural Logarithms: Introduction to natural logarithms, using log properties to simplify or expand natural logarithms, solving natural logarithms, and using natural ...
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· May 24, 2012
Video thumbnail for What is a Natural Log Ln(x)? - Part 1 (Logarithm w/ Base e - Euler's number)
32:04
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What is a Natural Log Ln(x)? - Part 1 (Logarithm w/ Base e - Euler's number)

More Lessons: http://www.MathAndScience.com Twitter: https://twitter.com/JasonGibsonMath In this lesson, you will learn what a natural logarithm is and how it is a special logarithm. The natural logarithm is a log with the base that is Euler's number. Because the Ln(x) function has a very special base, it comes up in all branches of science ...
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· Apr 7, 2020
Video thumbnail for Further integration - reverse chain rule, exponentials and logs
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Further integration - reverse chain rule, exponentials and logs

This video expands on integration, building on the basics in my first integration video. It covers integrating by reverse chain rule, a little trigonometry, exponentials and logs. I use 8 examples of a variety of questions of indefinite integration. Enjoy! https://www.buymeacoffee.com/starfishmaths www.starfishmaths.com starfishmaths@gmail.com
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· May 5, 2020
Video thumbnail for Power Series Representation With Natural Logarithms - Calculus 2
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Power Series Representation With Natural Logarithms - Calculus 2

This calculus 2 video tutorial explains how to find the power series representation of logarithmic functions specifically natural logarithms with ln(1-x^2) as an example. You need to use the properties of logarithms to express the single logarithm as a sum of two logarithm and then express each log as an integral of a rational function. At this ...
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· Apr 2, 2018
Video thumbnail for Defining the Natural Logarithm as an Integral?!?!?
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Defining the Natural Logarithm as an Integral?!?!?

We typically define ln(x), the natural logarithm of x, by first defining the exponential function of x, noting that this is a 1:1 function, and then defining ln(x) as the inverse function to exponential. In this video we go the other way around. We define ln(x) as a particular integral, and then use that to give a new definition of e. This ...
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· Apr 18, 2020
Video thumbnail for Integration leading to ln (Natural Logarithm) - Basic/Integral Calculus
18:40
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Integration leading to ln (Natural Logarithm) - Basic/Integral Calculus

A lecture video with solved problems about the antiderivative or the integral leading to ln or the natural logarithm. These are fundamental formulas for antidifferentiation or integration of transcendental functions. This lesson is under Basic Calculus (SHS) and Integral Calculus (College) subject. Discussed in mixed Filipino/Tagalog and ...
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· May 22, 2021
Video thumbnail for How to do Integrals of the form f'(x) / f(x) | ExamSolutions - maths problems answered
10:02
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How to do Integrals of the form f'(x) / f(x) | ExamSolutions - maths problems answered

Here I show you how to do integrals of the form f'(x) / f(x) which reduce to natural logarithm of f(x) Go to http://www.examsolutions.net/ for the index, playlists and more maths videos on exam solutions and other maths topics. THE BEST THANK YOU: https://www.examsolutions.net/donation/
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· Feb 28, 2018
Video thumbnail for Ex: Integration by Parts - Definite Integral Involving a Quadratic and Natural Log Function
05:16
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Ex: Integration by Parts - Definite Integral Involving a Quadratic and Natural Log Function

This video provides an example of a definite integral involving the product of a quadratic function and the natural logarithmic function. Site: http://mathispower4u.com
YouTube
· Mar 18, 2013
Video thumbnail for Calculus I - 5.2.1 The Natural Logarithmic Function: Integration
07:36
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Calculus I - 5.2.1 The Natural Logarithmic Function: Integration

Now that we have a solid foundation with regard to logarithmic and exponential functions, let's explore how to integrate the natural logarithmic function, which is just working the derivative in reverse. Video Chapters: Intro 0:00 The Integral of the Natural Log Function 0:05 The Integral by Pattern Recognition/U-Substitution 1:58 Finding Area ...
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· May 10, 2023
Video thumbnail for Integration of Trig Functions with Natural Logs
07:15
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Integration of Trig Functions with Natural Logs

This video introduces the concept of integrating trigonometric functions, including sine, cosine, tangent, secant, cosecant, and cotangent expressions. Steps and formulas are shown with examples. Check out more math videos and a breakdown of weekly lessons on my website: https://ddykstra07.wixsite.com/mrdmathclass
YouTube
· Mar 1, 2018
Video thumbnail for How to find the integral using long division and natural logarithms
04:45
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How to find the integral using long division and natural logarithms

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which the upper and the lower limits/boundaries are known ...
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· Apr 12, 2017
Video thumbnail for Integral of ln(x)
03:49
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Integral of ln(x)

How to Integrate the natural log of x and how to check your solution.
YouTube
· Apr 8, 2017
Video thumbnail for Determine a Power Series and Indefinite Integral of a Natural Log Function
05:52
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Determine a Power Series and Indefinite Integral of a Natural Log Function

This video explains how to determine a power series of a function to determine an indefinite integral. https://mathispower4u.com
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· Feb 27, 2025
Video thumbnail for All the LOGARITHMS needed for calculus actually explained
16:05
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All the LOGARITHMS needed for calculus actually explained

Self-study with Brilliant at https://brilliant.org/TreforBazett to get started for free for 30 days, and to get 20% off an annual premium subscription! In this video we're going to see all the logarithm rules you should know to take a calculus course. We define logarithm as the inverse function to the exponential, so if b^x=y then log_b y = x ...
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· Feb 24, 2025
Video thumbnail for Integration by Parts | Definite Integral | Natural Log | Calculus
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Integration by Parts | Definite Integral | Natural Log | Calculus

In this calculus math example, we calculate the definite integral of a function that contains a natural logarithmic function ln(x) by using integration by parts to find its antiderivative. The chain rule of calculus is also used to calculate the derivative of "u". Each step of how to calculate the antiderivative is explained in detail in a step ...
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· Jun 28, 2023
Video thumbnail for Integration involving Natural Logarithm Function (5 Examples)
38:25
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Integration involving Natural Logarithm Function (5 Examples)

Basic u-Substitution Examples 1: 4:34 and 7:43 Long Division before Integration: 13:42 U-Substitution to Power Rule Integration: 22:15 Definite Integral U-Substitution: 38:24 Check out http://www.ProfRobBob.com, there you will find my lessons organized by chapters within each subject. If you'd like to make a donation to support my efforts look ...
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· Jan 9, 2025
Video thumbnail for Calc II Lesson 02 The Natural Logarithmic Function
16:19
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Calc II Lesson 02 The Natural Logarithmic Function

Download the pdf file of notes for this video: http://math.sci.ccny.cuny.edu/docs?name=Calc+II+Lesson+02+Natural+Log+Function.pdf For more information, see http://math.sci.ccny.cuny.edu/pages?name=Math+202+Video+Lessons
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· Jun 13, 2013