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- y[x_] = Cos[π*x];
- L = Integrate[Sqrt[1 + (y'[x])^2], {x, 0, 1/2}]
- X = NIntegrate[x*Sqrt[1 + (y'[x])^2], {x, 0, 1/2}]/L
- Y = Integrate[y[x]*Sqrt[1 + (y'[x])^2], {x, 0, 1/2}]/L
- {X, Y} // N
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