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

question 30

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

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