Surface integral of a function

In this video, I calculate the surface integral of a function f over a surface S, which calculates the volume under the graph of f and over the surface S. It's kind of like a curved version of a double integral! For this, I'm using the parallelogram dS defined in the previous video. Enjoy!

[@kanehtube5390]

I was searching for visualization of surface integral. Now this video gave me the concept👍 thanks🙏

[@tomatrix7525]

Best teacher ever, in my own humble opinion🤫

[@mandeepubhi4744]

Very Beautiful and elegant approach of teaching. Could you illustrate the geometrical interpretation of lagrange multipliers. 😀

[@dhunt6618]

Cool! Good thing you have enough charges on your wand of cancellation to get all the simplifications!

[@momonga.]

You're so wholesome man! Great explanation it's helped me prepare for vector calc final, also Eid Mubarak.

[@drpeyam]

Eid Mubarak!!!!

[@bandamkaromi]

I do not have a talent of fast calculation. But I can afford to try your way and enjoy it. Thank you, Dr. Peyam. ;)

[@subhadipsarkar7692]

❤️

[@emanuelmartinez3585]

Yeaaaaah!!!

[@georgecooper7389]

Great video! Will you be doing flux integrals soon?

[@drpeyam]

Yep! 😄

[@gerardsagliocca6292]

I noticed you use unand v as your independent variables. Can you use x and y instead ??

[@drpeyam]

No, x and y are used for the original variables, here we want to use parametrizations

[@tatjanagobold2810]

heck that was amazing! Yet I am not sure what exactly this result means right now :D

[@michaelempeigne3519]

what are the advantages of the runge-kutta method ?

[@mrrashedali]

WTF= want to find

[@racimeexe9868]

I coudn't find it damn more work is need