A Wire in the Shape of the Curve $x = t ^ { 3 } , y = 2 t ^ { \frac { 3 } { 2 } } , z = 3 t + 1,0 \leq t \leq 1$

Short Answer

A wire in the shape of the curve $x = t ^ { 3 } , y = 2 t ^ { \frac { 3 } { 2 } } , z = 3 t + 1,0 \leq t \leq 1$ has density function $p ( x , y , z ) = y ^ { 2 } + 1$ . Find the mass of the wire.