How to Integrate Natural Log Functions Using Integration by Parts

[@mnish3627]

Those who stop learning stop living.thank you my friend

[@eastonpeter1242]

Besides relearning Calculus as a hobby (old retired teacher) from an expert explainer, your "style/ speech" is captivating- it's a most enjoyable experience when the teacher speaks so well. Thank you.

[@PrimeNewtons]

Thank you!

[@David-by6nc]

Excellent job laying out the all the steps, would like to see more problems.

[@nazmiepatel720]

Thanks alot! I definitely learned something, by using long division, I was struggling with this...but you made it very simple.

[@PrimeNewtons]

Glad it helped!

[@whatsupmz4204]

thanks for the video. Watching from Mozambique

[@PrimeNewtons]

Thanks for watching!

[@EE-Spectrum]

Very good explanation as usual. I especially like this video for its many concepts: Integration by parts, long division and partial fractions decomposition. 12:59

[@Melan2005]

i love the way you teach my friend . Calculus seems to become Easy and crystal clear. god blesss u and keep it up

[@MathewJonathan-ur5wh]

I could smile all day😅. Love the video my friend

[@TeddTecno-ep5ge]

Woooow!!! Excellent video dude!!! I learned a lot. Greetings from Argentina!

[@PrimeNewtons]

I'm glad it helped ☺️

[@anweshbhattacharyya7763]

Please keep uploading this type of mathematical contents.. I am from data science background & they help me alot.

[@jumpman8282]

I solved this using variable substitution and then integration by parts, after which I was forced to make another variable substitution. And at the end, because we are taking the log of a quadratic function, there was a ± sign I needed to take care of as well. Needless to say, it took a little longer than 15 minutes... :)

[@abdul-muminmudasir5069]

Great God bless you 🙏 It's really helpful

[@aloixasinclaire9911]

Thank you for putting the dx in the integrate! :)

[@PrimeNewtons]

Wow! I'm glad I caught it too. Thank you.

[@aloixasinclaire9911]

Now you're stuck with me - I'll have to be kind ;)

[@icafe36485]

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[@justim4545]

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[@KigumbaRichard]

Nice 👍

[@WarriorBane]

Just starting calc 2 thnx

[@calculusrescue2704]

Super helpful!

[@abdiraxmanharet6612]

Thanks sir

[@pizzakat]

6:03 never thought id get rizzed by a math teacher

[@PrimeNewtons]

🤣 I had to Google what that means.

[@ahmedezzat687]

great

[@tandemcompound2]

Dude, why weren't you my Calc 2 prof? thanks

[@josephparrish7625]

❤

[@kamamba9029]

🐐🐐🐐

[@AmanuelTesfaye-h9w]

How can i solve this one. a,by making the substitution u=1_x,show that the integral of (x^n)(1_x)m=t

[@MathewJonathan-ur5wh]

I love you man❤🫠. You just made my day. Thanks Keep blessing others

[@aadi_001]

Please integrate log function linear as well as non linear

[@PrimeNewtons]

Please email me an example of what you are talking about. [e-mail]

[@aadi_001]

@@PrimeNewtons what is your email sir please give me

[@PrimeNewtons]

[e-mail]

[@michelebrun613]

In df dx is missed

[@ThaboMaleke-bn1sm]

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[@temwananimkandawire1245]

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