Evaluate the line integral over the given curve $C$.
$$\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3$$
A) $- \frac { 9 } { 2 }$
B) $- \frac { 69 } { 2 } \sqrt { 2 }$
C) $\frac { 231 } { 2 } \sqrt { 2 }$
D) $\frac { 81 } { 2 }$

Question

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The Answer of Evaluate the line integral over the given curve $C$.
$$\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3$$
A) $- \frac { 9 } { 2 }$
B) $- \frac { 69 } { 2 } \sqrt { 2 }$
C) $\frac { 231 } { 2 } \sqrt { 2 }$
D) $\frac { 81 } { 2 }$

Evaluate the Line Integral Over the Given Curve CCC ∫C(5x+4y)ds;C:r(t)=(t−5)i+tj,0≤t≤3\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3∫C​(5x+4y)ds;C:r(t)=(t−5)i+tj,0≤t≤3

Evaluate the Line Integral Over the Given Curve $C$ $\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3$