Find the length of the curve ; r(t)=, 0

Question

Find the length of the curve ;

r(t)=<2t^3/2 , cos(2t) , sin(2t)>,

0<= t <= 3

anonymous · Answer

I recall a formula for this, something to do with arclengths

anonymous · Answer

Im really sorry , i cant remember the formula.....Anyone can help me....??

anonymous · Answer

anonymous · Answer

Does anyone can give me the solution please.....

anonymous · Answer

anonymous · Answer

anonymous · Answer

Definitely not; seems wolframalpha didn't parse your input correctly.

nikvist · Answer

$$L=\int\limits_0^3\sqrt{x'(t)^2+y'(t)^2+z'(t)^2}dt$$

anonymous · Answer

I still have no clue.....sry....

nikvist · Answer

$$x=2t^{3/2},x'=3t^{1/2}$$$$y=\cos{2t},y'=-2\sin{2t}$$$$z=\sin{2t},z'=2\cos{2t}$$