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.

Derivatives of Parametric Functions:

Tangent Lines of Parametric Curves:

2nd Derivative - Parametric Equations:

3rd Derivative of Parametric Curves:

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Horizontal & Vertical Tangent Lines:

Area of Parametric Curves:

Arc Length of Parametric Curves:

Surface Area of Parametric Curves:

Polar Coordinates - Introduction:

Tangent Line Equations - Polar Form:

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Horizontal & Vertical Tangents - Polar:

Area of Polar Curves:

Area Between Polar Curves:

Arc Length of Polar Curves:

Surface Area of Polar Curves:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[KnucklesAndBig]

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[Atari-gzki]

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[xWindie]

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[sanjeeez]

I will always respect how this chemistry dude teaches math beautifully

[georgesadler]

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 YouTube TV with the Organic Chemistry Tutor.

[JustFootball._]

"dx/dt is gonna be AT&T"

[evanlinsley]

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

[لياليالعز]

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تحية لك من العراق ❤

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[T]

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[kerbytacorda]

Sir, please start with easier problem. Thank you.

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[mafsterquast]

How do you know when to substitute and not to?

[lorettarodman]

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

[muhammadibrahimkhan]

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[LimaAlpha]

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

[necropolis]

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?