ParametricPlot3D[ { Cos[t], Sqrt[3]Sin[t]/2, Sin[t]/2}, {t,0,2Pi}]

Integrate[ Sqrt[20t^2+1], {t,0,2}]

N[9+((ArcSinh[4 (Sqrt[5])])/(4 (Sqrt[5])))]

Integrate[  {t^2+1, 2t^2, t}, {t,0,2}]

Integrate[{t^2+1, 2t^2, t},t]

{t+((t^3)/3),((2 (t^3))/3),((t^2)/2)}
D[ {t^2+1, 2t^2, t}, t]

Norm[ D[{t^2+1,2t^2,t}, t] ]