Arc Length of the Curve :: Two Examples :: Calculus 3

Here we show two examples of finding the Arc Length of the Curves.

The two curves are

a) r(t) = (2t, t^2, 1/3 t^3)

b) r(t) = (cos(t), sin(t), ln(cos(t)))

The general trick is to try to factor as a perfect square. This approach works for example a)

Other approaches include using trig identities to simplify the expressions under the radical.

I hope these examples have give you more clarity on how to approach how to find the arc length of a curve.

Thanks for watching!

-dr. Dub

[chileshesikazwe]

THANK YOU DO MORE QUESTIONS ON VECTOR GRAPHING

[smellymewi]

Just a question. What if you are not given the range but 2 point coordinates instead? How do you find the integration limit?