Question

Find the arc length function beginning with t=0.
r(t)=<1/2 t^2, sin(pi/2t), cos(pi/2t)>
Please help.

Answer 1

use the formula ?

Answer 2

\[\large L = \int\limits_{a}^b ||r'(t)|| dt\]

Answer 3

for examples see
http://tutorial.math.lamar.edu/Classes/CalcIII/VectorArcLength.aspx

Answer 4

thank you!