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$\text { Find the value of the line integral }$

question 34

question 34

Multiple Choice

$\text { Find the value of the line integral }$ $\int_{C} y^{3} d x+3 x y^{2} d y$ (Hint: If $\mathbf { F } ( x , y ) = y ^ { 3 } \mathbf { i } + 3 x y ^ { 2 } \mathbf { j }$ is conservative, the integration may be easier on an alternate path.)
$\text { Find the value of the line integral }\int_{C} y^{3} d x+3 x y^{2} d y (Hint: If \mathbf { F } ( x , y ) = y ^ { 3 } \mathbf { i } + 3 x y ^ { 2 } \mathbf { j } is conservative, the integration may be easier on an alternate path.) A) 243 B) 192 C) 108 D) 0 E) 12$

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