Parametric curve arc length | Applications of definite integrals | AP Calculus BC | Khan Academy

A finely tuned example demonstrating how the arc length formula works.

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

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[Hobbit]

Sal your my hero. Ive never had any freinds to study with but when i watch your videos it becomes more fun to study because im not feeling so alone. Now many years after high school im finaly prepared to go for civil engineering.
Thank you

[changyuan]

The man who does everything for everyone but never. Charges anything

[ShubhamSingh-spnb]

Thanks man you are an angel. Finally someone who works and explains concepts so easily

[ddrecc]

I did not find this prove in my textbook! Thank you for explanation.

[giack]

Hello, thank you for the video. I wanted ask: at min 5:00, how you can just say: we "factor out" dt? First module would be needed (i.e. | dt | ), but above all we are pretending dt is a number or a variable which can be "squared" or "taken the square root" but it's not actually, it's an abstraction of infinitesimal small change!

[dangkhanhlinh]

Hi
Khan Academy, what is " Return parameter of curve at the point"? Can you analyze for me
what does it mean? Where can I get it from? I am studying the problem of dividing the curve