Find the Length of the Curve $3 x = 2 y ^ { \frac { 3 } { 2 } } , ( 0,0 ) \text { to } \left( \frac { 2 } { 3 } , 1 \right)$

Essay

Find the length of the curve $3 x = 2 y ^ { \frac { 3 } { 2 } } , ( 0,0 ) \text { to } \left( \frac { 2 } { 3 } , 1 \right)$ .