# Plot The Cornu Parametric Spiral

How to plot the Cornu parametric Spiral in 3D With Mathematica. The 2D is quite easy. Thx. For more details you need to be familiar with the Cornu statement.

$$\begin{cases} x(t)=\int_{0}^{t}cos(u^{2})du\\ y(t)=\int_{0}^{t}sin(u^{2})du. \end{cases}$$

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I think you should provide all the needed details. –  b.gatessucks Apr 3 at 8:31
@b.gatessucks It's quite simple my dear. Thank you I will edit. –  Thierno M. Sow Apr 3 at 8:34
If it is quite simple - just do it :D –  Sektor Apr 3 at 9:14

body[t_] = Integrate[#[u^2], {u, 0, t}] & /@ {Cos, Sin}

ParametricPlot3D[body[t]~Join~{t}, {t, -2 Pi, 2 Pi},