the ultimate integral starter (u sub, IBP, trig sub, partial fractions & more)

Time Stamps By categories:
0:00 Intro
I. Know your derivatives 1:06
II. Reverse Power Rule 8:54
III. U Sub 18:30
IV. Know the Famous Ones (part1. the famous first step) 44:00
V. Say NO to Integral Addictions 1:07:24
VI. Know the Famous Ones (part2. famous non-elementary integrals) 1:24:24
VII. Integration by Parts u-dv setup 1:46:26 DI set up 2:14:15
VIII. Use Trig Identities 2:50:35
IX. Trig Sub 3:32:00
X. Partial Fractions Decomposition (all cases included) 4:26:50

A story about Anna.
One day in class, I asked my students to guess my first job. Among all the random answers, Anna answered "McDonald's"! However, a guy next to her said "OUCH". Then Anna said "I know because I watched his videos!".
This is why I wore my McDonald's uniform in this video.

A story about Matthew.
One day after my algebra class. A guy (yes, Matthew) had been standing outside waiting for me to finish my class but I did not know who he was. Then he told me that he had been watching my videos and could not believe that he saw me teaching in that classroom. He waited for me and we took a selfie. The following semester he signed up to audit my calc 2 class.

[blackpenredpen]

Time stamps
I. Know your derivatives 1:06

II. Reverse Power Rule 8:54
III. U Sub 18:30
IV. Know the Famous Ones (part1. the famous first step) 44:00
V. Say NO to Integral Addictions 1:07:24
VI. Know the Famous Ones (part2. famous non-elementary integrals) 1:24:24
VII. Integration by Parts u-dv setup 1:46:26 DI set up 2:14:15
VIII. Use Trig Identities 2:50:35
IX. Trig Sub 3:32:00
X. Partial Fractions Decomposition (all cases included) 4:26:50




Story about Anna.
One day in class, I asked my students to guess my first job. Among all the random answers, Anna answered "McDonald's"! However, a guy next to her said "OUCH". Then Anna said "I know because I watched his videos!".
This is why I wore my McDonald's uniform in this video.


Story about Matthew.
One day after my algebra class. A guy (yes, Matthew) had been standing outside waiting for me to finish my class but I did not know who he was. Then he told me that he had been watching my videos and could not believe that he saw me teaching in that classroom. He waited for me and we took a selfie. The following semester he signed up to audit my calc 2 class.

[HDitzzDH]

He was at school from 5 pm to 10 pm just doing a bunch of integrals in front of a camera, that's dedication.

[ericabaez]

It so important to show a friendly and welcoming face when teaching something to someone, especially, something that by itself is so overwhelming like Calculus. Thank you for existing and being so good at teaching <3

[stewartmoore]

Blackpenredpen: **makes 6 hour straight lecture**
Morpheus: "He is the one."

[ayushkrishn]

I never used to enjoy doing maths since middle school, but I have been wanting to self study maths for a long time using online resources without a fixed schedule and framework. Your videos really spark my interest in maths. Thank you for your hardwork and dedication.

[tycobrahe]

“I didn’t go to Disneyland, I didn’t go to Disney World. I went to the U world!” Lol
Love your videos. Passion is unmistakable. Keep it up!

[Glva]

When I graduate, I will come back to this video and thank you for contributing to another engineer in this world

[postholedigger]

Professor Chow has done a great job organizing this stuff. Due to his excellent lectures and the miracle of pause, rewind and review on YouTube, you can learn more in one week than you can learn in a year in a traditional classroom.
SEAN

[loopje]

This is false advertising. I came here for black pens and red pens, but he started using green pens too

[braeling]

If you’re currently in calc 2 this video is basically your life for the first half of the semester. If you can go through all these you’ll pass for sure.

[nathanielgolden]

without ANY irony or exaggeration, you are making the world a better place through these videos. Thank you so much.

[kinglandon]

Not only did your videos help me find my passion for math, but you do them in a fun and charismatic wat

[eathanehanthnaidua]

The sweetest, the smartest, and the non grumpy math teacher. How is it even possible!?😆

[hanma]

This guy deserve's a Reward, he spends 1/3rd if his day in creating math videos.
You sir, are a legend!
I still can't forget how your videos helped me in my school exams, even though I scored less then expected, but I really enjoyed your lessons.❤❤❤

[pixelatedparcel]

Semi-retired 62 years old, learning math for fun. Recently discovered your outstanding channel. Watched all of this wonderful 6h video: not a dull or confusing moment. A real privilege to have you as a teacher. Congratulations and sincere thanks!

[maheshpadmanabh]

As an experienced professional in engineering field, this is the best revision for the basics.Thanks!

[alstamm]

Absolute lifesaver. None of the integration techniques are super hard to quiz on individually, but for my midterm I have to look at many integrals and know what technique[s] to apply. Very helpful to have a quick but comprehensive overview of them all in one place

[dexio]

Have to catch a plane in 7 hours in the morning. YouTube recommends 6 hours of integrals. Guess I'll sleep on the plane :-P

[alihansencerberk]

I'm currently studying for the physics olympiad. My school doesn't have a good olympiad teaching system so I have to learn most of the subjects by myself. And I couldn't understand integration. Thanks to this video, a lot of my questions are cleared and I can integrate much easier.

Thank you very much for making my life and olympiad journey a lot easier!

[AKSHATAHUJA]

Doesn't matter from where you had worked before. Every thing is about knowledge