Question

A curve called Cornu’s spiral is defined by the parametric equations x=C(t) =∫t0cos(πu2/2)duy=S(t) =∫t0sin(πu2/2)du where C...

A curve called Cornu’s spiral is defined by the parametric equations

x=C(t) =∫t0cos(πu2/2)duy=S(t) =∫t0sin(πu2/2)du

where

C

and

S

are Fresnel functions; these appear in optics and electromagnetics, among other

places.Find the length of Cornu’s spiral from the origin to the point with parameter valueT.

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A curve called Cornu’s spiral is defined by the parametric equations x=C(t) =∫t0cos(πu2/2)duy=S(t) =∫t0sin(πu2/2)du where C...
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