Finding a Potential for a Conservative Vector Field

In this video, I find the potential for a conservative vector field.

[carlosenriqueulloa]

I hear that soothing, slightly droning voice, and I know everything is going to be OK, because Patrick will do what my overpaid professor should have done.

[bigshg]

Honestly YouTube might be one of the greatest educational tools ever created. I have learned almost everything from my calc III and physics class from YouTubers willing to spend their own time to share their knowledge on the subjects. Thanks so much!

[asemnafiz]

Google should change their logo to honour Patrick for a day. It should say, 'Patrick- saving asses of STEM field majors since 2007.'

[UncleKai]

For anyone wondering, there's a much easier way to do this. Simply integrate each component of the vector field F by dx, dy, dz respectively, and the potential function is a combination of each unique term (i.e. if there are two terms that are the same, don't add them, just use one of them in the potential function).
But this way works too, just more work!

[MaxOnTrack]

A generation of degree students that owe their career to PatrickJMT lol

[SmilerBFC]

Patrick is by far the best maths tutor and he knows it :p

[MemoryDealer]

There's a hole in my backyard, and sometimes I like to get naked and paint myself orange, sit in it and pretend I'm a carrot.

[MisterBinx]

I just want to say that math texts in college are terrible.

[bruizzr]

Excellent. If it weren't for you I would be screwed. College instructors do not know how to break it down to us here at Virginia State University. They move too fast and expect you to grasp it on your own time. Well they are right, I spend my personal time trying to figure these things out. Watching you on youtube has allowed me to keep up.

[emmaleteaceee]

I have no idea why i pay £9000 a year to go to university on the UK. I learn so much more from these videos than I do from university. Wish i could send Patrick the money instead! :') Thankyou Patrick!!

[toitozky]

In 2024, you're still being watched, yet you continue to engage with others. What an incredible Professor.

[AXX]

I feel like I need to invite Patrick to my graduation. I basically learned calc II and III from him!

[addieromo]

I have been having problems with these types of problems all day and you helped me so much. I truly appreciate your videos. Thank you a million times and thank you for inspiring me to teach just like you do in the future. Millions of thanks.

[schoolissoboring]

Putting your math tutor ad in patrickjmt video is probably the worst ad placement I have ever seen...

[fatmahasan]

Thanks Patrick, your explanation is brief and simple .. I advice all the students if they skipped the classes, they should watch your video to understand . Good job  

[gillhouse]

I've watched your videos for over a year now. I just want to let you know that I acknowlege and respect your ability to write left handed on a white board and rarely smudge. As a fellow lefty, you inspire me.

[stephenhudson]

Someone should nominate you for a nobel peace prize for saving math grades everywhere (so serious) 

[pluralofjame]

Ah thank you! I have my calc 3 final in about 8 hours and I still hadn't figured this out. Helped a ton!

[kaskarn]

Hey thanks a lot for your videos, I have a complex analysis midterm tomorrow and your uploads are a great way to review the computational aspects of it.

[gennnnnnnnnn]

Thank you for your help patrickJMT! You're my hero.