Arc length of a curve represented by vector function
I'm having some trouble doing this question where i'm supposed to find the arc length of a curve represented by a vector function.
Question is: Find the arc length of the curve.
over the interval
So since arc length = int(0,1)[|r`(t)|] i calculate r`(t):
and this is where i get stuck. I must have to plug something into |r`(t)| equation above for t to calculate |r`(t)| and then plug it into the arc length equation. How am i supposed to integrate |r`(t)| as it is shown in the above form?