Arc Length of Parametric Curves

This calculus 2 video tutorial explains how to find the arc length of a parametric function using integration techniques such as u-substitution, factoring, and the power rule of integration.
Parametric Equations - Introduction: • Parametric Equations I...
Derivatives of Parametric Functions:
• Derivatives of Paramet...
Tangent Lines of Parametric Curves:
• Tangent Lines of Param...
2nd Derivative - Parametric Equations:
• Second Derivatives of ...
3rd Derivative of Parametric Curves:
• Differentiation of Par...
___________________________________
Horizontal & Vertical Tangent Lines:
• Horizontal Tangent Lin...
Area of Parametric Curves:
• Area of Parametric Curves
Arc Length of Parametric Curves:
• Arc Length of Parametr...
Surface Area of Parametric Curves:
• Surface Area of Revolu...
Polar Coordinates - Introduction:
• Polar Coordinates Basi...
Tangent Line Equations - Polar Form:
• Tangent Line Equations...
____________________________________
Horizontal & Vertical Tangents - Polar:
• Horizontal Tangent Lin...
Area of Polar Curves:
• Finding Area In Polar ...
Area Between Polar Curves:
• Finding Area Bounded B...
Arc Length of Polar Curves:
• Arc Length of Polar Cu...
Surface Area of Polar Curves:
• Surface Area of Revolu...
_______________________________________
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[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/i4TMfHeqfrGbo8U Final Exams and Video Playlists: www.video-tutor.net/

[@kalsoomzafar7593]

Good my teacher 😊

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I love how this one nameless dude is somehow better than all my math profs, I owe my college success to him

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[@xWindie]

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[@gartyqam]

"hIT diFfeREnt"

[@JustFootball._]

"dx/dt is gonna be AT&T"

[@tannerross9661]

You're the best. You have saved me in calculus and chemistry classes countless times.

[@syremusic_]

This is so simple. Thank you!

[@user-kz8pq6lz2u]

I know you get this a lot, but you are a LITERAL lifesaver! You deserve a statue.

[@evanlinsley6293]

Thank you so much for teaching me how to find the arclengf of parameters

[@kailunwang4271]

nice and clear, very helpful video

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on The Arc Length of Parametric Curves in Calculus. This material is simple to follow/understand, however the Definite Integrals can be problematic from start to finish. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@ElecTutorials23]

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[@user-zu4gz7sx5o]

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[@davidjaramillo2940]

Thank you, very cool!

[@diegofpe1]

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[@berraurhn]

bro.. thank you .. sincerely

[@kerbytacorda4778]

Sir, please start with easier problem. Thank you.

[@ZhannelOmarova]

Thank you !

[@aireeonuhhenthorne6269]

Thanks!

[@cowgate]

Badbwoy!! Thank you

[@lkds923]

Thank you :)

[@9LimaAlpha7]

y do we need to change the limits of integration ?? @4:40

[@ghostkidgamerez3917]

You always need to do that whenever you do U-sub

[@davlatbekkobiljonov911]

thank you

[@necropolis3673]

Why didn't you plug back in your u at the end of the first problem? If you plug it back in the equation 1+t^(3/2) for u, you get a different answer?

[@lujayns.8911]

He changed the bounds to be in terms of u not t. He plugged in 0 and sqrt(8) into u= 1+t^2. If you do that, you make your bounds in terms of the sqrt(u) and you don't have to plug the u back in after getting the anti-derivative. But if he didn't change the bounds then he would plug the u back in then put in the original bounds.

[@mervynwinn1852]

@@lujayns.8911 wow this actually helped me instead of being useless garbage. Thank you!

[@ryn6620]

but how do u get that formula

[@doctorwave]

Its just a standard rule that is used by everyone

[@aazankhan5525]

Genius sir i haven’t the words for u in nutshell ultimate

[@lorettarodman9117]

I can’t find the right video for what I need, I’m being asked to find the arch length between points Q to P. Darn you calculus

[@dongiovannidemontecristo1835]

you got mail at 11:37

[@pandaindistress4728]

ik this comment is from 2 yrs ago, but oml when I heard that I got a mini panic attack bc I thought I wasnt alone at home lol

[@erich3892]

Why did you change lim of integration if u plug back in for U in the first one?? I dont think you did it right bro

[@erich3892]

Oh nvm u didnt plug back into U. But if I integrate it normally without changing limits I get a diferent answer

[@natashafame]

Eric H yeah I got a different answer to

[@landruma4745]

Test in 2 hours let’s get it

[@KoemiPena]

why did I get 104 after solving this problem and not 42......

[@indianlegend85]

SIR, WHAT ARE THE STRUCTURE OF ANILINE AT PH =2 AND PH =10? .., I AM FROM INDIA AND FIRST VIEWER OF THIS VIDEO... AWESOME VIDEO SIR...PLS SOLVE MY EXAMPLE BY VIDEO IF YOU FREE BECAUSE I KNOW EVERYBODY HAVE THEIR OWN IMPORTANT WORKS.....

[@e2k220]

xqcL

[@user-un2oj4qh6d]

5:04

[@muhammadibrahimkhan7052]

Sir I am not going to my college because of you ( you teaches us everything. .. thumbs up 👍👍)

[@XWorldXWideX]

I stg this guy speeds up his videos to lower the length of them.

[@thevegg3275]

You did a u substitution but you never replaced what u equalled back into u. Is that not the method?

[@tankitos5385]

You can do it either way, but if you integrate with u then you just change the limits of integration

[@ketseletsomolutsoane3820]

Smart

[@krishnaats7141]

It is depressing to see you not filtering out common factors in the first step. You multiply through and then filter out common values.. It is depressing

[@zondopedgod1300]

am lost y doesn't he sub U back

[@khayyam947]

It's because he changed the limits of integration. But if you don't change lim of integration, you can just sub U back in.

[@riachauhan5215]

Man Gaye ...😳🥺🥺🥺

[@altariis]

5:38