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 Into Inverse Trig:

Integration of Rational Functions:

Integral of Logarithmic Functions:

Integrating Exponential Functions:

Integration Formulas:

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Integration By Tables:

Reduction Formulas - Integration:

Center of Mass & Moments:

Center of Mass & Centroid Problems:

Hydrostatic Force Problems:

Probability Density Functions:

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Normal Distributions - Calculus:

Homogeneous Differential Equations:

1st Order Linear Differential Equations:

Bernoulli's Equation for Differential Equations:

Slope Fields:

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Converging & Diverging Sequences:

Monotonic & Bounded Sequences:

Calculus Final Exam and Video Playlists:

Full-Length Videos and Worksheets:

Integration - Formula Sheet:

[omarandali]

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[godfraydionzon]

Ssir you're the only youtuber that i don't skip the ads, u helped me so much so I just thought that it would be a great help for you too that I won't skip ads

[shahriar]

Wow what a class! I was looking for a THIS kind of class for a logarithm interrogation.thank u so much

[georgesadler]

Professor Organic Chemistry Tutor, thank you for a step-by-step analysis and explanation of the Integral of Logarithmic Functions in Calculus Two. From my point of view, changing the bases to the Natural Logarithms is best way to Integrate Logarithmic Functions. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[azizatay]

Thank you man!
These videos are really helpful.

[hafizmahummadtalha]

Best video ever I found over the internet which led me to give you a big thumbs up for the nice work Keep it up

[aadi_]

Hii

I want to ask if integration of log base e x and log base a x have same integration or different integration


I mean does natural log ( log with base e ) and normal log (log with any base) have same integration or not what is difference how can we integrate both

[godoftan]

Hello! How would you solve if you have an X as a denominator on these log integrals? Thank you!

[danielnelson]

Is there any known method of solving these types of integrals where u is not linear?

[Salamanca-joro]

Thank you man this was really helpful, i will just use the formula you provided and u will not show my work 😅 because that way is harder than the simple formula

[tede]

5 seconds in and I'm already lost, what should I learn before watching this one?

[alternative]

It's absolute value of ln. so it's ln (abs(5x+9))

[celsiusfahrenheit]

Nice, thx!! the formula seems messy and scary, I rather stick to working with logs

[sroydetroy]

But can you use the same formula for a definite integral?

[minoriruba]

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[naughtyauty]

You failed. You forgot +C in the 3rd problem.

[mspmajestics]

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[bryangallardo]

In other words, just use the formula lol