Deriving the Arc Length in Cartesian and Polar Coordinates

Help me create more free content! =)

Let us go ahead and get started! Starting from the riemann sum definition of a line integral, we can actually evaluate the arc length of ( polar ) curves. Feel free advancing this idea to different coordinate systems, such as cylindrical, spherical and toroidal ones!
ENjoy! =)

[luchisevera]

Some people were straight before they found your channel

[lumek]

I zoomed in very very close and now I'm straight! Thanks papa!

[AndrewDotsonvideos]

Now I want to do this for curved spacetime.

[omarino]

Once again Leibnitz notation proves its superiority.

[danteduane]

I'M NOT STRAIGHT
* sees video *
OK MAYBE I'M STRAIGHT

[OscarMtz]

what are the odds that literally today I was assigned to derive arc length in polar coordinates for hw, I love you

[DavidPumpernickel]

lol i watched this last week, here i am again, because deriving arclength in polar coords is a homework problem. big happy :'D

[paulg]

great to see a young man just being himself !!

[yeast]

Great timing papa flammy, I was about to try and manually reverse my sexuality without any help

[brechtbollaert]

May i just say... you are legendary! Love all your meme sentences hahaha

[tuggspeedman]

You explain what your doing really well.

[christopherhorton]

This is perfect timing papa, we just learned about arc length in class today. Thank you my boi

[atrimandal]

Okay, this is epic❤️👌
More Physics 😂😂

[redstridetechnologies]

Sometimes I don't know what you're talking about, but I still watch it to feel smart lol

[gvcallen]

Great video! Do you have a video formalizing the concept of "playing physicist" i.e. some sort of rigorous proof that we can "always" formulate proofs using dy's, dx's etc. without the need to mess around with Riemann sums and limits?

[micayahritchie]

Papa Flammy has mastered the sacred ancient art of the Chen Lu

[pepperonisalad]

First. Definitely first.
And this finally seems like within my area of current knowledge!

[hendrik]

10:15 good that it is the same Spiel ^^

[engr.rimarc.liguan]

Im researching the derivation of arc length for polar equations, when i found out this video. My laught on that moment. Hahahaha. Nice one 😂 i really enjoyed your video so much. Lovelots from the Philippines 😆

[asbjrnandersen]

Who ever said germans don't have humor??? AJAHAHA that fucking killed me