Вычислить длину дуги, заданной параметрически.

 

[tex]\left \{ {{x=2(t-sint)} \atop {y=2(1-cost)}} \right.[/tex]        [tex]0\leq t \leq \pi[/tex]

 

L=   [tex]\int\limits^\beta_\alpha {\sqrt{[\phi'(t)]^2+[\Psi'(t)]^2}} \, dt[/tex]

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