Find the Length of the Parametric Curve $$x = t ^ { 2 } , \quad y = 3 - t ^ { 3 } , \quad \mathrm { t } \in [ 0,2 ]$$

Short Answer

Find the length of the parametric curve: $$x = t ^ { 2 } , \quad y = 3 - t ^ { 3 } , \quad \mathrm { t } \in [ 0,2 ]$$