I.4.46 Curvilinear Integrals

Condition: Calculate the curved integral by the length of the arc \ (\ int_ {l} f (x, y) d l \) from the function \ (f (x, y) \). \ [\ begin {array} {l} f (x, y) = y^{2}, \ quad l: x = a (t- \ sin t) \\ y = a (1- \ cos t), \ quad t \ in [0; 2 \ pi]. \ end {Array} \]