Evaluate the line integral along the given path. $$\int ( 4 x - 5 y ) d s \quad C : \overrightarrow { \mathbf { r } } ( t ) = 3 t \hat { \mathbf { i } } + 2 t \hat { \mathbf { j } } , \quad 0 \leq y \leq 6$$
A) $30 \sqrt { 13 }$
B) $40 \sqrt { 13 }$
C) $42 \sqrt { 13 }$
D) $26 \sqrt { 13 }$
E) $36 \sqrt { 13 }$

Question

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The Answer of Evaluate the line integral along the given path. $$\int ( 4 x - 5 y ) d s \quad C : \overrightarrow { \mathbf { r } } ( t ) = 3 t \hat { \mathbf { i } } + 2 t \hat { \mathbf { j } } , \quad 0 \leq y \leq 6$$
A) $30 \sqrt { 13 }$
B) $40 \sqrt { 13 }$
C) $42 \sqrt { 13 }$
D) $26 \sqrt { 13 }$
E) $36 \sqrt { 13 }$

Evaluate the Line Integral Along the Given Path A) 301330 \sqrt { 13 }3013​

Evaluate the Line Integral Along the Given Path A) $30 \sqrt { 13 }$