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) $- \frac { 97 } { 3 } \sqrt { 2 }$

Question

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The Answer of 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) $- \frac { 97 } { 3 } \sqrt { 2 }$

Evaluate the Line Integral Over the Given Curve CCC ∫C(6x+2y2)ds;C:r(t)=(t−6)i+tj,0≤t≤1\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∫C​(6x+2y2)ds;C:r(t)=(t−6)i+tj,0≤t≤1

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