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Line Integrals – Cycloid orbit – Exercise 3510

Exercise

Calculate the integral

\int_c y^2 dl

Where c is

a>0, x=a(t-\sin t), y=a(1-\cos t)

And the range of t is

0\leq t\leq 2\pi

Final Answer


\int_c y^2 dl=\frac{256}{15}a^3

Solution

Coming soon…

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