Evaluate the Line Integral Over the Given Curve $C$ $$\int _ { C } \left( 6 x + 2 y ^ { 2 } \right) d s ; C : \mathbf { r } ( t ) = ( t - 6 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 1$$

Multiple Choice

Evaluate the line integral over the given curve $C$ .
$$\int _ { C } \left( 6 x + 2 y ^ { 2 } \right) d s ; C : \mathbf { r } ( t ) = ( t - 6 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 1$$

A) 28
B) $- 26$
C) $40 \sqrt { 2 }$
D) $- \frac { 97 } { 3 } \sqrt { 2 }$