# 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

$$0\leq t\leq 2\pi$$

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