Evaluate the Line Integral Over the Given Curve C $\int _ { C } \left( 3 x + 7 y ^ { 3 } \right) d s$

Multiple Choice

Evaluate the line integral over the given curve C. $\int _ { C } \left( 3 x + 7 y ^ { 3 } \right) d s$ ; $C : \mathbf { r } ( t ) = ( t - 3 ) \mathbf { i } + t \mathbf { j }$ , $0 \leq t \leq 3$

A) $27$
B) $\frac { 513 } { 4 }$ $\sqrt { 2 }$
C) $36$
D) $72$ $\sqrt { 2 }$